Answer:
B, 12
Step-by-step explanation:
Select that integer that matches the following situation:
I go for a hike in Colorado. The top of the mountain is , feet above sea level.
Question 4 options:
A: 144
B: 14,000
C: -14
D: -14,000
The integer that matches the situation I go for a hike in Colorado. The top of the mountain is feet above sea level is 14000.
What is Number system?A number system is defined as a system of writing to express numbers.
Given,
I go for a hike in Colorado. The top of the mountain is ___ feet above sea level.
We need to find the suitable integer in the blank.
The top of a mountain would be a high number above sea level, 144 is around ground level above sea level therefore the top of the mountain would be 14,000 feet above sea level
Hence, the integer that matches the situation I go for a hike in Colorado. The top of the mountain is feet above sea level is 14000.
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Emma's sister is nine years older than Emma. Their combined ages add up to 49. How old is Emma?
What scale factor was applied to the first rectangle to get the resulting image?
Answer: Another way to look at it is that the rectangle was reduced in a factor of 5 (1/0.2=5)
don't forget to drop a heart hope it helped
Step-by-step explanation:
Answer: 1/0.2=5
Step-by-step explanation:
I hope this helps if you guys need a reach out to me :)
see image for question. HELP PLEASE
Answer: the last question at the very bottom
Step-by-step explanation:
the graph is not a scatter plot, so its a line plot .
Answer the statistical measures and create a box and whiskers plot for the following set of data.
1, 3, 3, 5, 6, 6, 6, 7, 7, 10, 10, 11, 14
1,3,3,5,6,6,6,7,7,10,10,11,14
For the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.
What is box and whiskers plot?Box and whiskers plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.
The minimum and the maximum values in the box plot is plotted at the end points.
The following set of data which i s given in the problem.
3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17
Min: 3
The minimum value in the given data is 3. Thus, the min is 3.
Q1:6
First quartile appears at 6. Thus, the value of Q1 is 6.
Med:12
The middle value of the given data is 12 which appears at the center of all the values. Thus the med is 12.
Q3:14.5
Second quartile appears at 14.5. Thus, the value of second quartile Q2 is 6.
Max: 17
The minimum value in the given data is 17 as shown in the image attached below. Thus, the min is 17.
Hence, for the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.
The complete question is : Answer the statistical measures and create a box and whiskers plot for the following set of data. You may optionally click and drag the numbers into numerical order.
3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17
3,4,5,6,6,7,7,12,13,14,14,15,15,16,17
Min:
Q1:
Med:
Q3:
Max:
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I need halp with this-
Z=9
Answer:
81 + 81 + 10 aka 172
Step-by-step explanation:
Answer:
172
Step-by-step explanation:
z = 9
9 to the second power is 81
9 times 9 is 81
plus 10
= 172
hope this helps dude
( Will give Brainliest Please Helpp)
Answer:
4/9 sq yard
Step-by-step explanation:
Answer:
the answer is 6/7
Step-by-step explanation:
If a+b+c = 9 and ab+bc+ca = 40, find a^2 + b^2 + c^2
Explanation
By definition.
\(\begin{gathered} (a+b+c)^2=a^2+b^2+c^2+2((ab)+(bc)+(ac)) \\ \end{gathered}\)so
Let
\(\begin{gathered} (a+b+c)=9 \\ ab+bc+ac=40 \\ \text{now, replace} \end{gathered}\)\(\begin{gathered} (a+b+c)^2=a^2+b^2+c^2+2((ab)+(bc)+(ac)) \\ 9^2=a^2+b^2+c^2+2(40) \\ 81=a^2+b^2+c^2+80 \\ \text{subtract 80 in both sides} \\ 81-80=a^2+b^2+c^2+80-80 \\ 1=a^2+b^2+c^2 \end{gathered}\)hence
\(a^2+b^2+c^2=1\)I hope this helps you
please let me know if I did it good and lmk if I did anything wrong ( finding area )
cam someone help on these?
Answer:
multiply the numbers
Step-by-step explanation:
I'm not really sure how to explain it
Write the point-slope form of the line that passes through the points (-2, 1) and (0, 1). Identify (x1, y1) as (-2, 1). Use the box provided to submit all of your calculations and final answers.
The slope of the points is 0 when the line passing through the points (-2, 1) and in its point-slope form (0, 1).
Given that,
The line passing through the points (-2, 1) and in its point-slope form (0, 1). Recognize (x₁, y₁) as (-2, 1).
We have to find to submit all of your calculations and complete responses.
We know that,
The point passing through the other point.
We can find the slope.
Slope is rise/run.
The points are (-2,1) and (0,1)
m is 1-1/0+2
m is 0/2
m is 0
Therefore, The slope of the points is 0 when the line passing through the points (-2, 1) and in its point-slope form (0, 1).
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Give a 98% confidence interval for one population mean, given asample of 28 data points with sample mean 30.0 and sample standarddeviation s = 2.40.
We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:
\(\begin{gathered} 1-\alpha=0.98 \\ \alpha=0.02 \end{gathered}\)The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:
\(CI(\mu)=\lbrack x-Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}},x+Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}}\rbrack\)Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:
\(CI(\mu)=\lbrack30.0-Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}},30.0+Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}}\rbrack\)Where (from tables):
\(Z_{0.99}=2.33\)Finally, the interval at 98% confidence level is:
\(CI(\mu)=\lbrack28.94,31.06\rbrack\)If sec t=−2.475, and angle t is in Quadrant III, find the other
5 trig ratios
cos t =
sin t =
tan t =
csc t =
cot t =
Given that sec(t) = -2.475 and angle t is in Quadrant III, the other five trigonometric ratios are as follows: cos(t) ≈ 0.404, sin(t) ≈ -0.916, tan(t) ≈ 2.268, csc(t) ≈ -1.092, and cot(t) ≈ 0.441.
We are given that sec(t) = -2.475, which represents the reciprocal of the cosine of angle t. Since sec(t) is negative and angle t is in Quadrant III, we can deduce that the cosine of t is negative. To find cos(t), we can use the identity sec(t) = 1/cos(t) and solve for cos(t), resulting in cos(t) ≈ 0.404.
Using the Pythagorean identity \(sin^2(t) + cos^2(t)\) = 1, we can find sin(t) as sin(t) = ±\(\sqrt(1 - cos^2(t))\). Since angle t is in Quadrant III, where sine is negative, we take the negative value. Thus, sin(t) ≈ -0.916.
By dividing sin(t) by cos(t), we obtain the tangent of t. Hence, tan(t) ≈ sin(t)/cos(t) ≈ -0.916/0.404 ≈ 2.268.
Cosecant (csc) is the reciprocal of sine, so csc(t) ≈ 1/sin(t) ≈ -1.092.
Similarly, cotangent (cot) is the reciprocal of tangent, so cot(t) ≈ 1/tan(t) ≈ 1/2.268 ≈ 0.441.
In conclusion, when sec(t) = -2.475 and angle t is in Quadrant III, the other five trigonometric ratios are approximately: cos(t) ≈ 0.404, sin(t) ≈ -0.916, tan(t) ≈ 2.268, csc(t) ≈ -1.092, and cot(t) ≈ 0.441.
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What are the domain and range of the linear function shown below?
This option correctly describes that the function is defined for x-values that satisfy the inequality x - 5 < x < 3. It also states that the range of the function is {-2}, which is not accurate since the range of the function includes multiple values from 1 to 6, inclusive.
Based on the given information, it seems that the linear function is represented by the points (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1). To determine the domain and range of the function, we need to analyze the set of possible inputs (x-values) and the set of possible outputs (y-values) in the function.
The domain of a function refers to the set of all possible input values for the function. In this case, it appears that the function is defined for all values of x between 1 and 6, inclusive. Therefore, the domain can be represented as: Domain: {x | 1 ≤ x ≤ 6}.
The range of a function, on the other hand, refers to the set of all possible output values. Looking at the given points, we can observe that the y-values range from 1 to 6. Therefore, the range can be represented as: Range: {y | 1 ≤ y ≤ 6}.
From the given answer choices, the option that accurately represents the domain and range of the linear function is:
G Domain: {x | x - 5 < x < 3}
Range: {-2}
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How do you find the angles of a 5/12/13 triangle?
The angles of a triangle with side lengths 5 , 12 and 13 are 90°, 22.63°, 67.38°.
What is Law of cosines formula?In trigonometry, the law of cosines, also known as the law of cosines or cosine formula, basically relates the length of a triangle to one cosine of its angle. It states that if we know the lengths of two sides of a triangle and the angle between them, we can determine the length of the third side. c² = a²+ b² – 2ab cosγ
where a, b, c are the sides of the triangle and γ is the angle between a and b, see image above.
To find the length of a side of a triangle, take △ABC according to the cosine formula, which can be written as follows.
a² = b²+ c²– 2bc cos αb²= a² + c²– 2ac cos βc²= b² + a² – 2ba cos γWe have , a = 5 , b = 12 , c= 13
cos α =( 12² + 13² - 5² )/2×12×13= 288/312
=> α = cos⁻¹(0.923 ) = 22.63°
cos β = (5² + 13² - 12² )/2×13×5 = 50/130
=> β = cos⁻¹(5/13) = 67.38°
cos γ = (12² + 5² - 13² )/2×12×5= 0
=> γ = cos⁻¹(0) = 90°
Hence, the required angles are 90°, 22.63°, 67.38°.
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Simplify this expression by combining the like terms
5m + g + 6 + 3g - 2m + k
Answer:
3m+4g+6+k
Step-by-step explanation:
Distribute 10 (1 + 8x2).
Answer:
170
Step-by-step explanation:
8x2 is 16 plus 1 is 17 times 10 is 170. PEMDAS
Can you tell me whether this represents a function or not? (For both questions, just say ‘Yes or No’)
Answer:
No for both
Step-by-step explanation:
If 2 x values that are the same but different y values for them then its not a function
The vertices of a triangle are A(1, 2) , B(3, 1) and C(1,- 1) . Draw the figure and its image after the translation ( x - 2 . y + 3 )
The triangle and its image are added as attachment
How to determine the image of the triangleFrom the question, we have the following parameters that can be used in our computation:
A(1, 2) , B(3, 1) and C(1,- 1)
Also, we have
The translation ( x - 2 . y + 3 )
To perform a translation on a figure, we need to add -2 to the x-coordinate and 3 to the y-coordinate of each point.
i.e.
(x, y) = ( x - 2 . y + 3 )
So, we have
A(1 - 2, 2 + 3) , B(3 - 2, 1 + 3) and C(1 - 2,- 1 + 3)
This gives
A'(-1, 5), B'(1, 4), and C'(-1, 2).
See attachment for the figure
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1202
3ab + 2b; a
-5 and b = 4
Answer:
52, if I understand the question correctly.
Step-by-step explanation:
Is this:
3ab + 2b
and we want to know the value when a = -5 and b = 4?
If so:
3ab + 2b
3(-5)(4) + 2(4)
-60 + 8 = -52
-52, if I understand the question correctly.
3ab + 2b
and we want to know the value when a = -5 and b = 4
If so:
3ab + 2b
3(-5)(4) + 2(4)
-60 + 8 = -52
Values 3ab + 2b are fundamental and fundamental beliefs that guide and motivate attitudes and actions. They help us determine what is important to us. Value is the goods, services or monetary value of a thing or person. An example of value is the amount an appraiser declares after appraising a home. An example of value is the value of a consultant's contribution to a committee. noun.
Values reflect our sense of right and wrong. They help us grow and develop. They help shape the future we want. The choices we make every day reflect our values.
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ILL GIVE BRAINIEST TO PERSON WHO ANSWERS CORRECTLY
Observe the graph .
There is a coordinate lies on y axis It's (0,3)Y intercept=3
More:-
Slope intercept form
y=mx+bWhere
m=slopeb=y interceptthe traffic flow rate (cars per hour) across an intersection is r(t)=400 900t−150t2, where t is in hours, and t=0 is 6am. how many cars pass through the intersection between 6 am and 9 am? cars
The number of cars that pass through the intersection between 6 am and 9 am is 10,500 cars.
To find the number of cars passing through the intersection between 6 am and 9 am, we need to integrate the given traffic flow rate function r(t) from t=0 (6 am) to t=3 (9 am). Therefore, we have:
∫(r(t) dt) = ∫(400 + 900t - 150t² dt) [Limits: 0 to 3]
= [400t + 450t² - 50t³/3] from 0 to 3
= [400(3) + 450(3)² - 50(3)³/3] - [400(0) + 450(0)² - 50(0)³/3]
= 1200 + 4050 - 450
= 10,500 cars
Therefore, 10,500 cars pass through the intersection between 6 am and 9 am.
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please please please please help mee!
Answer:
answer is a
Step-by-step explanation:
Exercise 1-9 (Algo) Using the accounting equation LO A1 Determine the missing amount from each of the separate situations given below.
The accounting equation is a fundamental principle in accounting that states that assets equal liabilities plus equity. Using this equation, missing amounts can be determined in various situations.
The accounting equation is expressed as Assets = Liabilities + Equity. It serves as the foundation for double-entry bookkeeping and ensures that the financial statements are balanced. By rearranging the equation, missing amounts can be determined.
For example, if the assets and equity are given, the missing amount of liabilities can be calculated by subtracting equity from assets. Conversely, if the liabilities and equity are known, the missing amount of assets can be calculated by adding liabilities to equity.
Similarly, if the assets and liabilities are provided, the missing amount of equity can be calculated by subtracting liabilities from assets. Alternatively, if the assets and equity are known, the missing amount of liabilities can be calculated by subtracting equity from assets.
In each situation, the missing amount can be determined by applying the accounting equation and rearranging it to solve for the missing variable. This equation provides a framework for ensuring that all financial transactions are properly recorded and that the financial statements accurately reflect the financial position of a business.
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15% of the players in a pro-am golf tournament are ranked in the top 40 golfers in the world. 67% of the players in the same tournament are amateurs. assume a tournament player being in the top 40 golfers in the world is mutually exclusive of the golfer being an amateur. what is the probability a randomly selected player in tournament is in the top 40 golfers in the world if the player is an amateur?
Thus, there is a 71.95% chance that a randomly selected amateur player in the tournament is not in the top 40 golfers in the world.
The first step in solving this problem is to use the given information to calculate the proportion of players who are both amateurs and ranked in the top 40 golfers in the world.
Since being a top 40 golfer and being an amateur are mutually exclusive, the proportion we're interested in is the proportion of amateur players who are not in the top 40.
We know that 15% of players are in the top 40, so 85% of players are not. We also know that 67% of players are amateurs, so 33% of players are not. To find the proportion of amateur players who are not in the top 40, we can multiply these two proportions:
0.85 x 0.33 = 0.2805
So, 28.05% of players in the tournament are amateurs who are not in the top 40.
Now, we can use this proportion to answer the question of what the probability is of selecting an amateur player who is not in the top 40, given that the player is an amateur. This is simply the proportion we just calculated:
P(amateur and not top 40) = 0.2805
Therefore, the probability of selecting an amateur player who is in the top 40 is:
P(top 40 | amateur) = 1 - P(amateur and not top 40)
= 1 - 0.2805
= 0.7195 or 71.95%
In other words, there is a 71.95% chance that a randomly selected amateur player in the tournament is not in the top 40 golfers in the world.
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PLEASE HELP!!
The rodriguez and peralta families went to the local pizzeria for supper. The items purchased and the total cost of the purchases are shown in the table below. Find the cost per pizza and drink.
The cost of each pizza is $12.50 while the cost of each drink is $1.99.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the cost of each pizza and y the cost of each drink. Hence:
3x + 5y = 47.45 (1)
Also:
4x + 8y = 65.92 (2)
From both equations:
x = 12.5, y = 1.99
The cost of each pizza is $12.50 while the cost of each drink is $1.99.
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Sheila has a plan to save $45 a month for 18 months so that she has $810 to remodel her bathroom. After 13 months Sheila has saved $510. If the most Sheila can possibly save is $70 per month, which of the following statements is true?
a.
Sheila will meet her goal and does not need to adjust her plan.
b.
Sheila must save $50 per month to achieve her goal.
c.
Sheila must save $60 per month to achieve her goal.
d.
Sheila will not be able to achieve her goal.
The statement that is true about Sheila's savings plan is that; C.
Sheila must save $60 per month to achieve her goal.
What is true about the savings plan?
The price of bathroom remodeling is $ 810.
After 13 months , she has saved $ 510
This means that she has a $300 shortage to cover in 5 months.
This means that she need to save :
$300/5 = $60 / month in order to achieve her goal
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Answer: C
Step-by-step explanation: edge
Given the costs for several of the same grocery items in two countries, find the rate of the total cost for these items in the United Kingdom to that of the total cost of
items in Australia.
Using ratios and assuming the given values, the rate of the total cost for items in the United Kingdom to that of the total cost of items in Australia is 2/3.
How do you calculate the ratio?A ratio shows how often one number is contained in another. The ratio of oranges to lemons, for instance, is eight to six if there are eight oranges and six lemons in a bowl of fruit.The ratio of oranges to all fruits is 8:14, whereas the ratio of lemons to oranges is 6:8.A ratio is a comparison of two items when it is expressed in numbers or amounts. For instance, the boy-to-girl ratio in a room with 10 males and thirty girls is 1:3, or one to three.Assume that the costs are:
United Kingdom = 10.78Australia = 21.23The ratio would be:
Ratio = United Kingdom: AustraliaSo, we have:
Ratio = 10.78:21.23Simplify:
Ratio = 2 : 3Express as rate
Rate = 2/3Therefore, using ratios and assuming the given values, the rate of the total cost for items in the United Kingdom to that of the total cost of items in Australia is 2/3.
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Help me please guys if you don’t mind
Answer:
\(5 {x}^{2} - 11x + 6 \\ 5 {x}^{2} - (5 + 6)x + 6 \\ 5 {x}^{2} - 5x + 6x + 6 \\ 5x(x - 1) - 6(x - 1) \\ (5x - 6)(x - 1)\)
(a) An experiment involves tossing two dice and observing the total of the upturned faces.
Find: (i) The sample space S for the experiment.
(ii) Let X be a discrete random variable representing the total of the upturned faces. Find the discrete density function of X, denoted by f(x).
(iii) The cumulative distribution function of X.
(b) Suppose that the die is biased or loaded so that the probability of each face landing upper- most is proportional to the number on the face, i.e. P(k)= ck, k= 1,..., 6 for some constant c.
Find: (i) The constant c.
(ii) The probability that an even number appears.
a. The sample space S is given by S = {(1, 1), (1, 2), (1, 3), ..., (6, 6)}. f(3), f(4), ..., f(12). The CDF of X can be represented as F(x) = P(X ≤ x). b. c = 1/21. the probability that an even number appears is 4/7.
(a)
(i) The sample space S for the experiment consists of all possible outcomes when tossing two dice and observing the total of the upturned faces. Each die has six faces numbered 1 to 6. Since there are two dice, we can represent the outcomes as ordered pairs (a, b), where a and b are the numbers on the first and second dice, respectively. The sample space S is given by:
S = {(1, 1), (1, 2), (1, 3), ..., (6, 6)}
(ii) Let X be the discrete random variable representing the total of the upturned faces. To find the discrete density function of X, denoted by f(x), we need to determine the probability of each possible value of X. The total on the upturned faces ranges from 2 to 12. We can calculate the probability of each value by considering all the outcomes in the sample space S. For example, to find f(2), we count the number of outcomes in S where the total is 2 and divide it by the total number of outcomes. Similarly, we can calculate f(3), f(4), ..., f(12).
(iii) The cumulative distribution function (CDF) of X gives the probability that X is less than or equal to a given value. It can be obtained by summing the probabilities of all values less than or equal to the given value. The CDF of X can be represented as F(x) = P(X ≤ x). To find F(x), we calculate the probabilities for each value of X and sum them up for all values less than or equal to x.
(b)
(i) If the die is biased or loaded so that the probability of each face landing upper-most is proportional to the number on the face, then the probabilities of each face can be expressed as P(k) = ck, where k = 1, 2, ..., 6. To find the constant c, we can use the fact that the sum of the probabilities for all possible outcomes must be equal to 1. Therefore, we have:
P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = 1
c(1) + c(2) + c(3) + c(4) + c(5) + c(6) = 1
c(1 + 2 + 3 + 4 + 5 + 6) = 1
21c = 1
c = 1/21
(ii) The probability that an even number appears can be found by summing the probabilities of the even numbers 2, 4, and 6. Since we know the probabilities for each face P(k) = ck, we can calculate:
P(even) = P(2) + P(4) + P(6)
= c(2) + c(4) + c(6)
= (1/21)(2 + 4 + 6)
= 12/21
= 4/7
Therefore, the probability that an even number appears is 4/7.
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