Answer:
1 hour and 29 minutes
Step-by-step explanation:
4:50 pm to 6:00 pm is 1 hour and 10 minutes.
6:00 pm to 6:19 pm is 19 minutes.
1 hour and 10 minutes + 19 minutes = 1 hour and 29 minutes.
Explanation:
Let's find out how long Kajal spoke on the phone.
4:50 + 10 mins = 5:00
5:00 + 60 mins = 6:00
6:00 + 19 mins = 6:19
To find the total time between 4:50 + 6:19, we add the distances.
10 mins + 60 mins + 19 mins = 89 mins
Thus, Kajal spoke on the phone for 89 minutes.
Do you want to see the distance? If yes, look down for my picture↓, but don't forget to mark it as a brainlist!
What is the classification of the following
triangle? Write scalene,Isosceles, or right.
9 cm
1107
7 cm
Answer:
Obtuse
Step-by-step explanation:
I believe that it is obtuse because the triangle's sides are all different and the triangle looks like it is over 180 degrees and would be an obtuse triangle.
please help me with this work
Answer:
b
Step-by-step explanation:
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse.
If b = 6.8 centimeters and c = 9.7 centimeters, what is the perimeter? If necessary, round to
the nearest tenth.
Answer:
P=23.4
Step-by-step explanation:
so using the pytogoren theroum
c2-b2= a2
so a= 6.9
so P= 6.9+6.8+9.7=23.4
if my answer helped please mark as brainliest.
Khan question, please help
Answer:
A
Step-by-step explanation:
Khan gives you right answer and tells you what's wrong, but this site is for help so, all you need to do is use the destructive property.
12 x 2= 24 12 x 3 = 36 12 x -1 = -12
now you have the original expression, 24 + 36 - 12 (without the letters.)
You take out a loan for $7,500 and plan to pay it back over 4 years. Your credit score is 750. How much will you save by having a credit score that is higher than 700?
Answer:
Step-by-step explanation:
The difference between a credit score of 699 and 700 is 14.125% and 13.125% APR interest rate for a 4-year (48-months) loan of $7500.
With APR of 14.125% compounded yearly, the total loan payment after 4 years is
= $7500 * (1 + 14.125%)^4
= $7500 * 1.14125^4
= $12722.85
With APR of 13.125% compounded yearly, the total loan payment after 4 years is
= $7500 * (1 + 13.125)^4
= $7500 * 1.13125^4
= $12282.75
So you will save by having a credit score above 700:
= $12722.85 - $12282.75
= $440.10
Please note that posting the same question multiple times does not usually help in getting an answer :)
What is 24/240 as a decimal
Answer:
0.1
Step-by-step explanation:
Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator
The newest model of smart car is supposed to get excellent gas mileage. A thorough study showed that gas mileage (measured in miles per gallon) is normally distributed with a mean of 75 miles per gallon and a standard deviation of 10 miles per gallon. What is the probability that, if driven normally, the car will get 75 miles per gallon or better
The probability that, if driven normally, the car will get 75 miles per gallon or better is approximately 0.5000 or 50%.
To find the probability that the car will get 75 miles per gallon or better, we need to calculate the area under the normal distribution curve to the right of the value 75.
Given information:
Mean (μ) = 75 miles per gallon
Standard deviation (σ) = 10 miles per gallon
To calculate this probability, we can use the standard normal distribution table or standardize the value and use the standard normal distribution.
Standardize the value:
To standardize the value 75, we use the formula:
Z = (X - μ) / σ
Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.
Standardized value:
Z = (75 - 75) / 10
Z = 0
Calculate the probability:
Now, we need to find the probability corresponding to the standardized value of 0. We can use the standard normal distribution table to find this probability.
From the standard normal distribution table, the area to the right of the standardized value 0 is 0.5000. Since we want the probability to the right of 0 (or greater than 0), we subtract this value from 1.
Probability = 1 - 0.5000
Probability = 0.5000
Therefore, the probability that, if driven normally, the car will get 75 miles per gallon or better is approximately 0.5000 or 50%.
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Review Questions
1. Cindy is a baker and runs a large cupcake shop. She has already
a. How many workers will the firm hire if the market wage rate is
hired 11 employees and is thinking of hiring a 12th. Cindy esti- $27.95 ? \$19.95? Explain why the firm will not hire a larger or mates that a 12 th worker would cost her $100 per day in wages $ smaller number of units of labor at each of these wage rates. and benefits while increasing her total revenue from $2,600per. day to $2,750 per day. Should Cindy hire a 12 th worker? b. Show this firm Explain. L016.2 c. Now again determine the firm's demand curve for labor. Complete the following labor demand table for a firm that is assuming that it is selling in an imperfectly competitive marhiring labor competitively and selling its product in a competiket and that, although it can sell 17 units at $2.20 per unit, it tive market. L016.2 ginal product of each successive labor unit. Compare this demand curve with that derived in part b. Which curve is more elastic? Explain. 3. Alice runs a shoemaking factory that uses both labor and capital to make shoes. Which of the following would shift the factory's demand for capital? You can select one or more correct answers from the choices shown. LO16.3 a. Many consumers decide to walk barefoot all the time. b. New shoemaking machines are twice as efficient as older machines. c. The wages that the factory has to pay its workers rise due to an economywide labor shortage.
Cindy should hire the 12th worker as it would result in a net increase in profit, with additional revenue exceeding the cost of hiring. Insufficient information is provided to determine the demand curve for labor or compare its elasticity. Events that would shift the factory's demand for capital include new, more efficient machines and rising wages due to a labor shortage.
a. To determine whether Cindy should hire a 12th worker, we need to compare the additional revenue generated with the additional cost incurred. Hiring the 12th worker would increase total revenue by $150 ($2,750 - $2,600) per day, but it would also increase costs by $100. Therefore, the net increase in total profit would be $50 ($150 - $100). Since the net increase in profit is positive, Cindy should hire the 12th worker.
b. By hiring the 12th worker, Cindy can increase her total revenue from $2,600 per day to $2,750 per day. The additional revenue generated by the 12th worker exceeds the cost of hiring that worker, resulting in a net increase in profit.
c. To determine the firm's demand curve for labor, we need information about the marginal product of labor (MPL) and the wage rates. Unfortunately, this information is not provided, so we cannot complete the labor demand table or derive the demand curve for labor.
Without specific data or information about changes in the quantity of labor demanded and wage rates, we cannot determine which demand curve (from part b or c) is more elastic. The elasticity of the demand curve depends on the responsiveness of the quantity of labor demanded to changes in the wage rate.
The events that would shift the factory's demand for capital are:
a. New shoemaking machines being twice as efficient as older machines would increase the productivity of capital. This would lead to an increase in the demand for capital as the factory would require more capital to produce the same quantity of shoes.
b. The wages that the factory has to pay its workers rising due to an economy-wide labor shortage would increase the cost of labor relative to capital. This would make capital relatively more attractive and lead to an increase in the demand for capital as the factory may substitute capital for labor to maintain production efficiency.
The event "Many consumers decide to walk barefoot all the time" would not directly impact the demand for capital as it is related to changes in consumer behavior rather than the production process of the shoemaking factory.
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Find the distance between the points A and B given below.
(That is, find the length of the segment connecting A and B.)
Round your answer to the nearest hundredth.
The distance between the points A (3, 3) and B (6, 6) include the following: 4.24 units.
How to determine the distance between the coordinates for each points?In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where:
x and y represent the data points (coordinates) on a cartesian coordinate.
Note: Each interval on the coordinate plane represent 1 unit.
By substituting the given end points into the distance formula, we have the following;
Distance = √[(6 - 3)² + (6 - 3)²]
Distance = √[(3)² + (3)²]
Distance = √[9 + 9]
Distance = √18
Distance AB = 4.24 units.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
itaimle fentan' th the yen +1 Mime chose Sowe Mitide chices asccereiond pls: * attonach 7= Which of the liliswing in a cintical ritik to the wocest of yod tritivees plan? Mrryin Dreite hisculte ievitor: porinumalike Q.wide Orete be Connie decides to open "Connie's Corner Cafe" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager. Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks like. Which of the following plans is most useful for demonstrating a new technology or service or to reach a market that is widely spread out? Mutiple Choice an irvertion plan a proof-of-concept website an operational plan a screening plan Connie decides to open "Connie's Corner Cafe" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan Connie is in trouble because she does not know what a business plan looks like. Which of the following statements about the market section of the classic business plan is not true? Muniple Choice The market section bullds on material you may have developed in the IDEO, business model canvas, and feasibility analyses done eatilier, Marketing plans remain the same across any multiple target audiences; Target audiences are aiso ealled custamer segments. Some people prefer to relocate the compettion and competilve advantage section from the market section to the industry section. Connie decides to open "Connie's Corner Café" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks like. Which of the following is a critical risk to the success of your business plan? Mulitiple Choice overlooked competition assumptions given for the financials adequate paybock direct customer connection Connie decides to open "Connie's Corner Café" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks like. Which of the following pitch deck categories is sometimes given in the form of a user's experience? Multiple Cholce product sides problem slide solution slide introductory slide Connie decides to open "Connie's Corner Cafe" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks like. There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is get the listener Multiple Choice to make a micro-commitment. provide feedback look at your invention plan, to piedge money Connie decides to open "Connie's Corner Cafe" and finds the ideal location for her venture. However, it appears that Connie will have to approach Investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks llike. A good marketing strategy is most likely to focus on Multiple Choice productiservice description. key activities and operations: value proposition. the longerterm competitive plan.
The plan that is most useful for demonstrating a new technology or service or to reach a market that is widely spread out is a proof-of-concept website
How to explain the informationThe statement about the market section of the classic business plan that is not true is that some people prefer to relocate the competition and competitive advantage section from the market section to the industry section.
A critical risk to the success of your business plan is Overlooked competition.
The pitch deck categories that is sometimes given in the form of a user's experience is Problem slide.
There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is to get the listener to Make a micro-commitment
A good marketing strategy is most likely to focus on the longer-term competitive plan.
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Find the slope of the line that passes through
(-4, 7) and (-6, -4)
Answer:
The slope of the line is 11/2
remember, rise over run.
Step-by-step explanation:
May I have brainliest please? :)
Answer:
\(m=\frac{11}{2}\)
Step-by-step explanation:
Pls help me figure out the answer to this the questions and answer choices are in the image
A gym charges a one-time registration and monthly membership fee. The total cost of the gym membership is modeled by where Select one is the one time registration fee and Select one is the cost for months of membership.
The slope of the equation is 25 and it represents a monthly membership charge and the y-intercept of the equation is 50 and it represents the charges of a one-time fee for a gym.
A gym charges a one-time fee of $50 and a monthly membership charge of $25 the total cost c of being a member of the gym is given by
c (t) = 50 + 25t
where c is the total cost you pay after being a member for t months.
The slope of the equation is 25 and it represents a monthly membership charge.
The y-intercept of the equation is 50 and it represents the charges of a one-time fee for a gym.
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solve the differential equation by variation of parameters. y'' + y = cos2(x)
Answer:
\(y=c_1\cos(x)+c_2\+\sin(x)+\sin^2(x)-\frac{1}{3}\sin^4(x)+\frac{1}{3}\cos^4(x)}}}\)
Step-by-step explanation:
Given the second-order differential equation, \(y'' + y = cos2(x)\), solve it using variation of parameters.
(1) - Solve the DE as if it were homogenous and find the homogeneous solution\(y'' + y = cos2(x) \Longrightarrow y'' + y =0\\\\\text{The characteristic equation} \Rightarrow m^2+1=0\\\\m^2+1=0\\\\ \Longrightarrow m^2=-1\\\\\ \Longrightarrow m=\sqrt{-1} \\\\\Longrightarrow \boxed{m=\pm i} \\ \\\text{Solution is complex will be in the form} \ \boxed{y=c_1e^{\alpha t}\cos(\beta t)+c_2e^{\alpha t}\sin(\beta t)} \ \text{where} \ m=\alpha \pm \beta i\)
\(\therefore \text{homogeneous solution} \rightarrow \boxed{y_h=c_1\cos(x)+c_2\sin(x)}\)
(2) - Find the Wronskian determinant
\(|W|=\left|\begin{array}{ccc}y_1&y_2\\y'_1&y'_2\end{array}\right| \\\\\Longrightarrow |W|=\left|\begin{array}{ccc}\cos(x)&\sin(x)\\-sin(t)&cos(x)\end{array}\right|\\\\\Longrightarrow \cos^2(x)+\sin^2(x)\\\\\Longrightarrow \boxed{|W|=1}\)
(3) - Find W_1 and W_2
\(\boxed{W_1=\left|\begin{array}{ccc}0&y_2\\g(x)&y'_2\end{array}\right| and \ W_2=\left|\begin{array}{ccc}y_2&0\\y'_2&g(x)\end{array}\right|}\)
\(W_1=\left|\begin{array}{ccc}0&\sin(x)\\\cos^2(x)&\cos(x)\end{array}\right|\\\\\Longrightarrow \boxed{W_1= -\sin(x)\cos^2(x)}\\\\W_2=\left|\begin{array}{ccc}\cos(x)&0\\ -\sin(x)&\cos^2(x)\end{array}\right|\\\\\Longrightarrow \boxed{W_2= \cos^3(x)}\)
(4) - Find u_1 and u_2
\(\boxed{u_1=\int\frac{W_1}{|W|} \ and \ u_2=\int\frac{W_2}{|W|} }\)\
u_1:
\(\int(\frac{-\sin(x)\cos^2(x)}{1}) dx\\\\\Longrightarrow-\int(\sin(x)\cos^2(x)) dx\\\\\text{Let} \ u=\cos(x) \rightarrow du=-sin(x)dx\\\\\Longrightarrow\int u^2 du\\\\\Longrightarrow \frac{1}{3}u^3\\ \\\Longrightarrow \boxed{u_1=\frac{1}{3}\cos^3(x)}\)
u_2:
\(\int\frac{\cos^3(x)}{1}dx\\ \\\Longrightarrow \int \cos^3(x)dx\\\\ \Longrightarrow \int (\cos^2(x)\cos(x))dx \ \ \boxed{\text{Trig identity:} \cos^2(x)=1-\sin^2(x)}\\\\\Longrightarrow \int[(1-\sin^2(x)})\cos(x)]dx\\\\\Longrightarrow \int \cos(x)dx-\int (\sin^2(x)\cos(x))dx\\\\\Longrightarrow \sin(x)-\int (\sin^2(x)\cos(x))dx\\\\\text{Let} \ u=\sin(x) \rightarrow du=cos(x)dx\\\\\Longrightarrow \sin(x)-\int u^2du\\\\\Longrightarrow \sin(x)-\frac{1}{3} u^3\)\
\(\Longrightarrow \boxed{u_2=\sin(x)-\frac{1}{3} \sin^3(x)}\)
(5) - Generate the particular solution
\(\text{Particular solution} \rightarrow y_p=u_1y_1+u_2y_2\)
\(\Longrightarrow y_p=(\frac{1}{3}\cos(x))(\cos(x))+(\sin(x)-\frac{1}{3} \sin^3(x))(\sin(x))\\\\ \Longrightarrow y_p=\frac{1}{3}\cos^4(x)+\sin^2(x)-\frac{1}{3}\sin^4(x)\\\\\Longrightarrow \boxed{y_p=\sin^2(x)-\frac{1}{3}\sin^4(x)+\frac{1}{3}\cos^4(x)}\)
(6) - Form the general solution
\(\text{General solution} \rightarrow y_{gen.}=y_h+y_p\)
\(\boxed{\boxed{y=c_1\cos(x)+c_2\+\sin(x)+\sin^2(x)-\frac{1}{3}\sin^4(x)+\frac{1}{3}\cos^4(x)}}}\)
Thus, the solution to the given DE is found where c_1 and c_2 are arbitrary constants that can be solved for given an initial condition. You can simplify the solution more if need be.
How do you state if the triangles in each pair are similar?
If both the corresponding angles and sides are congruent and proportional, respectively, you can state that the triangles are similar.
To determine if two triangles are similar, you need to check if their corresponding angles are congruent and their corresponding sides are proportional.
To state if the triangles in each pair are similar, follow these steps:
1. Identify the corresponding angles: Compare the angles of one triangle to the angles of the other triangle. If all the corresponding angles are congruent, then the triangles are similar.
2. Check for proportional sides: Compare the lengths of the corresponding sides of the two triangles. If the ratios of the corresponding sides are equal, then the triangles are similar.
3. If both the corresponding angles and sides are congruent and proportional, respectively, you can state that the triangles are similar.
For example, consider two triangles with angles A, B, and C, and sides a, b, and c. If you find that angle A of one triangle is congruent to angle A of the other triangle, angle B is congruent to angle B, and angle C is congruent to angle C, and the ratios a/b, b/c, and a/c are all equal, then you can conclude that the two triangles are similar.
Remember, similarity is not the same as congruence. Similar triangles have the same shape but can differ in size.
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students from a class of 15 are going to be chosen to be on the dance committee. Find the number of different 4-person committees that can be made.
we know that
The formula for combinations is
\(C=n!/[(n-r)!*r!]\)
where
\(n\) is the total number of objects you choose from
\(r\) is the number that you choose to arrange
in this problem
\(n=15\) students
\(r=4\) students
\(C=15!/[(15-4)!*4!]\) → \(C=15!/[11!*4!]\) → \((15*14*13*12*11!)/(11!*4*3*2*1)\)
\(C=(15*14*13*12)/(24)\) → \(C=1365\)
the answer is
1,365
don’t know the answer need help !!!
Answer:
B
Step-by-step explanation:
The function f(x)=80(1.5)x models a bacteria population after x hours. how does the average rate of change between hour 4 and hour 8 compare to the average rate of change between hour 0 and hour 4?
The average rate of change between hour 4 and hour 8 is equal to the average rate of change between hour 0 and hour 4.
Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given,
The function f(x)=80(1.5)x
where x is the time in hours
Then,
f(4)=80(1.5)4=480
f(8)=80(1.5)8=960
f(0)=80(1.5)0=0
Then the average rate of change between 4 and 8 hours =\(\frac{960-480}{4}\)
=120 units per hour
The average rate of change between 0 and 4 hours=\(\frac{480-0}{4}\)
=120 units per hour
Hence, the average rate of change between hour 4 and hour 8 is equal to the average rate of change between hour 0 and hour 4.
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Penelope mixed 6 ounces of apple juice concentrate with 9 ounces of water.
Which ratio of apple juice to water will make the same recipe?
A 45:30
B 42.60
C 42:63
D 9:6
Ratio of apple juice to water will make the same recipe is 42.60
What is the ratio formula?Ratios are used to compare two numbers by dividing them. If you want to compare one data point (A) to another (B), your formula would be A/B. This signifies that you are dividing data A by data B. If A is five and B is ten, your ratio will be 5/10.
Add the elements of the ratio together to get the total number of shares.
Subtract the total value from the total number of shares.
Multiply by the number of necessary shares.
A ratio in mathematics illustrates how many times one number contains another. For example, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to one.
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The total length of these planks is 92 metres. Work out the number of planks of length 2 metres in Ben workshop.
Answer: 13
Step-by-step explanation:
817 inhabitants live in a village. Of them, 241 are children.
Of the adults, there are 56 more women than men in the village.
How many men live in the village?
The number of men living in the village is 260.
How do you solve a linear equation system?A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:
\(ax + by = c\)
Given:
Total inhabitants in the village: 817
Number of children: 241
There are 56 more women than men in the village
Total adults = Total inhabitants - Number of children
Total adults = 817 - 241
Total adults = 576
Let number of men in the village be 'x' and number of women in the village be 'y',
∴ y=x+56 (given) ..................(1)
Also, x+y=576 .................(2)
From equation (1) and (2),
x + (x + 56) = 576
2x + 56 = 576
2x = 576 - 56
2x = 520
x = 520 / 2
x = 260
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Apples are prepared in a process with two resources. The first resource has a capacity of 2.1 apples per hour. The capacity of the second resource is 4.4 apples per hour. The first resource has 1 worker and the second resource has 4 workers. Demand for this process is 1.6 apples per hour. Wages are $8 per hour.
What is the cost of direct labor (in $)?per unit
The cost of direct labor per unit is $5.628 per apple.
To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.
Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".
The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:
L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)
The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:
L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)
Now, let's calculate the total labor hours required per unit:
Total labor hours per unit = L₁ (first resource) + L₂ (second resource)
= 0.4762 hours/apple + 0.2273 hours/apple
= 0.7035 hours/apple (rounded to 4 decimal places)
Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:
Cost of direct labor per unit = Total labor hours per unit * Wage rate
= 0.7035 hours/apple * $8/hour
= $5.628 per apple (rounded to 3 decimal places)
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For the following set of data, find the percentage of data within 2
population standard deviations of the mean, to the nearest percent.
58, 77, 31, 54, 58, 54, 56, 58, 56
Answer:
58,+77,+31,+54+,58+,54+,46+,58+,56/9
If the value of the mean is 55.78. Then the standard deviation will be 10.98.
What is a standard deviation?It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.
The data set is given below.
58, 77, 31, 54, 58, 54, 56, 58, 56.
Then the mean of the data set will be
Mean = (58 + 77 + 31 + 54 + 58 + 54 + 56 + 58 + 56) / 9
Mean = 502 / 9
Mean = 55.78
Then the standard deviation will be
\(\rm SD = \sqrt{\dfrac{(58 - 55.78)^2+(77-55.78)^2 + ..... + (56-55.78)^2 }{9}}\\\\SD = \sqrt { \dfrac{1085.5}{9}}\\\)
On further solving we have
SD = 10.98
If the value of the mean is 55.78. Then the standard deviation will be 10.98.
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13.10 − Let Mn be the maximum of n independent U(0,1) random variables. a. Derive the exact expression for P(∣Mn−1∣>ε). Hint: see Section 8.4. b. Show that limn→[infinity]P(∣Mn−1∣>ε)=0. Can this be derived from Chebyshev's inequality or the law of large numbers?
This can be derived using Chebyshev's inequality, as Chebyshev's inequality and the law of large numbers are different in nature.
Let M_n be the maximum of n independent U(0, 1) random variables.
To derive the exact expression for P(|M_n − 1| > ε), we need to follow the below steps:
First, we determine P(M_n ≤ 1-ε). The probability that all of the n variables are less than 1-ε is (1-ε)^n
So, P(M_n ≤ 1-ε) = (1-ε)^n
Similarly, we determine P(M_n ≥ 1+ε), which is equal to the probability that all the n variables are greater than 1+\epsilon
Hence, P(M_n ≥ 1+ε) = (1-ε)^n
Now we can write P(|M_n-1|>ε)=1-P(M_n≤1-ε)-P(M_n≥1+ε)
P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n.
Thus we have derived the exact expression for P(|M_n − 1| > ε) as P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n
Now, to show that $lim_{n\to\∞}$ P(|M_n - 1| > ε) = 0 , we can use Chebyshev's inequality which states that P(|X-\mu|>ε)≤{Var(X)/ε^2}
Chebyshev's inequality and the law of large numbers are different in nature as Chebyshev's inequality gives the upper bound for the probability of deviation of a random variable from its expected value. On the other hand, the law of large numbers provides information about how the sample mean approaches the population mean as the sample size increases.
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Shea works in a lab. It takes Shea 30 minutes to calibrate her lab instrument. If she calibrated it 5 times last month, how many hours did she spend calibrating it?
Answer:
2 and a half hours
Step-by-step explanation:
since it takes 30 min to calibrate, and she did it 5 times, that is 5x30 which is 150 minutes, 150 minutes is 2 and a half hours
27∇ if ("Slap"== ability) \{ 28} if ("Rest" = ability) 31 if ("Frostfire"== ability) 31 if ("Frostfire"== ability) 33∇ else \{ 34 else \{ 35 cout ≪ "Ability " ≪ ability ≪ " not implemented yet. "; \} 36 37
In this below code, the program checks each ability case separately and executes the corresponding code block or outputs a message if the ability is not implemented.
The given code snippet appears to be a part of a programming language or pseudocode. It includes conditional statements and a cout statement. Let's analyze the code and explain its behavior.
Lines 27-28: The code checks if the variable ability is equal to the string "Slap". If it is, line 28 would be the next line executed.
Lines 28-31: If the previous condition is true, line 28 executes, and line 31 becomes the next line to be executed. However, there seems to be a typo in the code where a single equals sign (=) is used instead of a double equals sign (==) for the comparison. It should be corrected to if ("Rest" == ability).
Lines 31-33: If the corrected condition in line 31 is true, line 31 would be executed, and line 33 would be the next line to be executed.
Lines 33-35: If the previous condition is true, line 33 executes, and lines 34 and 35 are present as a part of an incorrect else statement. This else statement does not have a corresponding if statement.
Line 35: The code within this line is intended to print a message indicating that the ability is not implemented yet. It uses the cout statement to output the message.
Given the provided code snippet, it contains a syntax error in the else statement. The final corrected code would look like this:
27∇ if ("Slap" == ability) {
28 // Code for Slap ability goes here
29} else if ("Rest" == ability) {
30 // Code for Rest ability goes here
31} else if ("Frostfire" == ability) {
32 // Code for Frostfire ability goes here
33} else {
34 cout << "Ability " << ability << " not implemented yet.";
35}
36
In this corrected code, the program checks each ability case separately and executes the corresponding code block or outputs a message if the ability is not implemented.
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in how many ways can boys and girls sit in a row if the boys and girls must alternate?
If the boys and girls must alternate, the total number of ways they can sit in a row is (b+g)!/(b/2)! (g/2)!.
If the boys and girls must alternate, then the first seat can be occupied by a boy or a girl. Without loss of generality, let's assume that the first seat is occupied by a boy. Then, the second seat must be occupied by a girl, the third seat by a boy, the fourth seat by a girl, and so on.
Let's say there are b boys and g girls. Then, there are b+g people in total. We can arrange the boys in b! ways and the girls in g! ways. However, we must also take into account the fact that the first seat is occupied by a boy. Since there are b choices for the first seat, there are b!(g-1)! ways to arrange the boys and girls if the first seat is occupied by a boy.
Similarly, if the first seat is occupied by a girl, then there are g!(b-1)! ways to arrange the boys and girls.
Therefore, the total number of ways to arrange the boys and girls if they must alternate is:
b!(g-1)! + g!(b-1)!
which can be simplified to:
(b+g)!/(2!(b/2)!(g/2)!) * (b/2)!(g/2)! + (b+g)!/(2!(b/2)!(g/2)!) * (b/2)!(g/2)!
= (b+g)!/(2!(b/2)!(g/2)!) * 2 * (b/2)!(g/2)!
= (b+g)!/(b/2)!(g/2)!
Therefore, the number of ways the boys and girls can sit in a row if they must alternate is (b+g)!/(b/2)!(g/2)!.
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Find the missing number so that the equation has infinitely many solutions.
– 2x+18=blank x+18
The missing term in the equation is n = -2
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the missing term be represented as n
-2x + 18 = nx + 18
Subtracting 18 on both sides of the equation , we get
-2x = nx
Divide by x on both sides of the equation , we get
n = -2
Therefore , the missing term is n = -2
Hence , the equation is n = -2
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La proporción de empleados de una empresa que usan su auto para ir al trabajo es 5:16. Si hay un total de 800 empleados, diga la cantidad de autos que se espera que haya estacionados en un día laboral en la zona dedicada a empleados.
Answer:
250 coches
Step-by-step explanation:
Tenemos la siguiente información de la pregunta;
Proporción de empleados que vienen a trabajar con sus coches = 5/16
Número total de empleados = 800
Por lo tanto, número total de automóviles esperado = proporción de empleados que vienen a trabajar con automóviles * número total de empleados
número total de coches esperados = 5/16 * 800
número total de coches esperados = 250 coches
Jake wants to become a teacher, a lawyer or a singer. He is a talented, intelligent boy who vows not to be satisfied in a dead-end job. Jake is considering his _____________.
Jake is considering his career options or career aspirations.
Jake is at a stage in his life where he is contemplating his future and the different career paths he could pursue. He has identified three potential professions: teacher, lawyer, and singer. Jake's talent and intelligence indicate that he has the potential to excel in any of these fields. His vow not to be satisfied in a dead-end job suggests that he is motivated and ambitious, seeking a fulfilling and successful career.
At this point, Jake is likely evaluating various factors such as his interest, skills, personal values, and long-term goals to determine which career path aligns best with his aspirations. He may be considering the level of satisfaction, growth opportunities, financial stability, and societal impact associated with each profession. Exploring these factors will help Jake make an informed decision about his future career and choose a path that will provide him with the fulfillment and success he desires.
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