I have gotten 113
Step-by-step explanation:
The right angle triangle has three angles and the value of its two angles are 90°and30°.We need to find the third angle which is the sum of 90°and 30°subtract from 180°=60°.60° is vertically opposite to angle C. We'll be having a quadrilateral whose angles add up to 360° .Subtract the sum of the three angles from 360° and you'll get 113°
A math test has 40 questions. A student answers 85% of the questions correctly.
How many questions did the student answer correctly?
Answer:
34
Step-by-step explanation:
40=100%
4=10%
2=5%
34=85%
Answer:
34
Step-by-step explanation:
Let's break this down
85% = 85/100 or 0.85
Of is related to multiplication
85% of 40 = 0.85 * 40
In 0.85, the decimal point is 2 places to the left. So the decimal point in the product will be 2 places to the left.
85 * 40 = 3400
Now tac on the decimal point 2 places to the left of 3400!
The answer would be 34.00 or 34!!
Hope this helps :)
Have a great day!
Find the equation of the line whose graph passes through (−2,−3) and has slope 5 .
Answer:
y +3 = 5(x +2)
Step-by-step explanation:
You want the equation of a line with slope 5 through the point (-2, -3).
Point-slope formThe point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
Applicationy +3 = 5(x +2) . . . . . . line with slope 5 through point (-2, -3)
__
Additional comment
This can also be written as ...
y = 5x +7 . . . . . . . . . subtract 3 and simplify
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The distribution of the number of occurrences of the letter t on the pages of a book is found to be a normal distribution with a mean of 44 and a standard deviation of 18. If there are 500 pages in the book, which sentence most closely summarizes the data?
Answer:
The letter t occurs more than 26 times on approximately 420 of these pages.
Step-by-step explanation:
1 standard deviation below mean = M - SD
= 44 - 18 = 26
This implies that that "26" is 1 s.d. below the mean, which is at the 16th percentile.
Thus, there is a 0.16 chance that "t" will occur less than 26 times on any single page.
consequently, there is a 0.84 chance that it will occur more than 26 times on any single page.
how are imaginary numbers useful in solving quadratic equations?
Answer:
If the roots of a quadratic equation are imaginary, ... It quickly tells you if the equation has two real roots (b2 - 4ac > 0), one real repeated root (b2 - 4ac = 0) or two complex conjugate roots (b2 - 4ac < 0).
Explanation:
Hope it helps you..
Your welcome in advance..
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Please help!! Brainlyest!!
we would associate the term inferential statistics with which task?
Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.
The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.
In other words, it involves using sample data to make generalizations or predictions about a larger population.
Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.
It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.
This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.
These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.
The goal of inferential statistics is to provide insights into the larger population based on a representative sample.
It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.
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Social cognitive theory focuses closely on A. addressing performance attainments and persistence in overcoming obstacles. B. career advancement and persistence in overcoming obstacles. C. career flexibility and persistence in the job search. D. performance related evaluation and persistence in overcoming external constraints.
Social cognitive theory focuses closely on A. addressing performance attainments and persistence in overcoming obstacles.
Social cognitive theory, developed by psychologist Albert Bandura, emphasizes the role of cognitive processes in learning and behavior. It specifically focuses on how individuals acquire knowledge, develop skills, and exhibit behavior through observational learning, self-efficacy beliefs, and self-regulation. One of the key aspects of social cognitive theory is addressing performance attainments and persistence in overcoming obstacles.
This means that the theory emphasizes the importance of individuals actively engaging in tasks, setting goals, and persisting in the face of challenges to achieve desired outcomes. By emphasizing performance attainments and overcoming obstacles, social cognitive theory highlights the role of self-efficacy, self-control, and motivation in shaping behavior and success in various domains of life, such as education, work, and personal goals.
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Mario walks 9 blocks from his home to a resturant. He then walks back toward home for 5 blocks, where he stops at a bookstore. How many blocks is Mario from his home?
Answer:
4
Step-by-step explanation:
9 - 5 = 4
the unit price f ingredients a and b used in a solution increased by 10% and 25% respectively. if ingredients a and b are used in ratio of 2:1 respectively, what is the overall percentage increase in price?
The overall percentage increase in price is 1.5, which means that the price of the solution has increased by 150%. This means that if the original price of the solution was $300, the new price after the increase would be $750.To find the overall percentage increase in price, we need to use the ratio of ingredients a and b, which is 2:1.
This means that for every 2 units of ingredient a used, 1 unit of ingredient b is used.
Let's assume that the original unit price of ingredient a was $100 and the original unit price of ingredient b was $200. After the increase, the unit price of ingredient a would be $110 (10% increase) and the unit price of ingredient b would be $250 (25% increase).
To find the overall percentage increase in price, we need to calculate the weighted average of the two ingredients based on their ratios. This can be done by multiplying the percentage increase in each ingredient by its weight in the ratio and adding them together.
The weighted average percentage increase in price can be calculated as follows:
[(2/3) x 10%] + [(1/3) x 25%] = (20/30) + (25/30) = 45/30 = 1.5
Therefore, the overall percentage increase in price is 1.5, which means that the price of the solution has increased by 150%. This means that if the original price of the solution was $300, the new price after the increase would be $750.
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If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by q→p?
O the original conditional statement
O the inverse of the original conditional statement
O the converse of the original conditional statement
O the contrapositive of the original conditional statement
Answer:
(c) the converse of the original conditional statement
Step-by-step explanation:
If a conditional statement is described by p→q, you want to know what is represented by q→p.
Conditional variationsFor the conditional p→q, the variations are ...
converse: q→pinverse: p'→q'contrapositive: q'→p'As you can see from this list, ...
the converse of the original conditional statement is represented by q→p, matching choice C.
__
Additional comment
If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.
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SOMEONE HELP PLEASE IT'S DUE IN A FEW MINUTES
if f(x)=3x and g(x)=x+2 find (f-g) (x)
what conditions are required for the inference, part b, to be valid? are these conditions reasonably satisfied?
For the inference in part b to be valid, the conditions required are reasonable satisfaction.
To determine if the conditions for the inference in part b are reasonably satisfied, we need to consider the specific details of the inference.
However, in general, the conditions for a valid inference typically include logical reasoning, accurate data, reliable sources, and relevant contextual information.
These conditions ensure that the conclusion drawn from the inference is supported by evidence and does not contain logical fallacies or biases. It is important to evaluate the quality and reliability of the information used in the inference to determine if the conditions are reasonably satisfied.
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or One angle of a triangle measures 70°. The other two angles are in a ratio of 3:8. What are the measures of those two angles?
Answer: The answer would be 9.125.
Step-by-step explanation:
I can't really find an explanation for it. Sorry.
The remaining angles are 80 and 30
The sum of angles of a triangle = 180
One angle is given as = 70
The sum of the remaining angles= 110
Now we apply the theory of ratios
The ratio between the angles are given as 3:8
So one angle will be 3 parts of 110 and other eight parts of 110
Total number of parts = 3+8 = 11
Angle 1 = (3*110)/11
= 30
Angle 2 = (8*110)/11
= 80
So the other two angles are 30 and 70.
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I need help with these. Please explain the work.
Andrea is a personal chef, who charges $110 per four-person meal; her monthly expenses are $2900
How many four-person meals must she sell in order to make a profit of at least $2400?
Answer:21.8
Step-by-step explanation:2400 divided by 110 equals 21.8
Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?
a. Distribute –4 to get –8x + 4 > 5 – 3x.
b. Distribute –4 to get –8x – 1 > 5 – 3x.
c. Subtract 2x from both sides of the inequality.
d. Add 1 to both sides of the inequality.
Answer:
B.)Distribute –4 to get –8x – 1 > 5 – 3x.
Step-by-step explanation:
All received a $1200 bonus. He decided to invest it in a 3-year certificate of deposit (CD) with an annual interest rate of 1.27% compounded monthly.
Answer the questions below. Do not round any intermediate computations, and round your final answers to the nearest cent.
(a) Assuming no withdrawals are made, how much money is in All's account
after 3 years?
(b) How much interest is earned on All's investment after 3 years?
After 3 years, all's accounts will have approximately $1302.84.
The interest earned on All's investment after 3 years is $102.84.
We have,
(a)
The formula for the future value of a CD with monthly compounding.
FV = P(1 + r/12)^(12n)
where:
P = the principal amount (initial investment)
r = the annual interest rate (as a decimal)
n = the number of years
In this case,
All invest $1200, the interest rate is 1.27% compounded monthly, and the investment is for 3 years.
Plugging these values into the formula, we get:
FV = 1200(1 + 0.0127/12)^(12*3) ≈ $1302.84
(b)
To find the amount of interest earned, we subtract the initial investment from the future value:
Interest = FV - P
= $1302.84 - $1200
= $102.84
Thus,
After 3 years, all's accounts will have approximately $1302.84.
The interest earned on All's investment after 3 years is $102.84.
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Answer:
Step-by-step explanation:
1. The perimeter of a rectangle is 56 inches. The rectangle is 19 inches long. How wide is the rectangle?
Answer:
let, width be 'x'
perimeter of rectangle=2(length+width)
56=2(19+x)
56=38+2x
2x=56-38
x=18/2
x=9inches
so, the width of rectangle is 9 inches.
hope it helps.
Jasmine wants to make a 30% alcohol solution. Shehas already poured 3 fluid ounces of a 72% alcoholsolution into a beaker. How many fluid ounces of a 9%alcohol solution must she add to create this desiredmixture?a
Let:
a = ounces of 72% alcohol solution
b = ounces 9% alcohol solution
c = ounces Final mixture:
so:
\(\begin{gathered} 0.72a+0.09b=0.3(c) \\ where \\ a=3 \\ c=a+b=3+b \\ 3\cdot0.72+0.09b=0.3(3+b) \\ 2.16+0.09b=0.9+0.3b \\ 2.16-0.9=0.3b-0.09b \\ 1.26=0.21b \\ b=\frac{1.26}{0.21} \\ b=6 \end{gathered}\)She needs to add 6 oz of 9% alcohol solution to create the desired mixture
A distributor receives a large shipment of components. The distributor would like to accept the shipment if 10% or fewer of the components are defective and to return it if more than 10% of the components are defective. She decides to sample 10 components, and to return the shipment if more than 1 of the 10 is defective. a. If the proportion of defectives in the batch is in fact 10%, what is the probability that she will return the shipment
Let p be the proportion of defectives in the shipment. Since p = 0.10 and we have a sample of n = 10 components drawn from the shipment, then from the binomial distribution we get:
Let p be the proportion of defectives in the shipment.
Thus, the probability that the distributor will return the shipment if the proportion of defectives in the batch is in fact 10% is 0.2639.
Summary:In summary, we are given that the proportion of defectives in the shipment is 10% and we are asked to find the probability that the distributor will return the shipment if 10 components are sampled and more than 1 of the 10 is defective. We can calculate this probability using the binomial distribution, which yields a probability of 0.2639.
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The vector x is in a subspace H with a basis B = {b1,b2}. Find the B-coordinate vector of x.
b1 = [\begin{array}{c}1\\4\\-3\end{array}\right]
b2 = [\begin{array}{c}-3\\-11\\8\end{array}\right]
b3 = [\begin{array}{c}-5\\-17\\12\end{array}\right]
[x]_B =[\begin{array}{c} \\ \end{array}\right]
The B-coordinate vector of x is then: [x]_B = [\begin{array}{c} c1 \\ c2 \end{array}\right]
To find the B-coordinate vector of x, we need to express x as a linear combination of the basis vectors b1 and b2. Since x is in the subspace H with a basis B = {b1, b2}, we know that any vector in H can be expressed as a linear combination of b1 and b2. So we have:
x = c1*b1 + c2*b2
where c1 and c2 are scalars. To find the B-coordinate vector of x, we need to solve for c1 and c2. We can do this by setting up a system of equations:
1*c1 - 3*c2 = x1
4*c1 - 11*c2 = x2
-3*c1 + 8*c2 = x3
where x1, x2, and x3 are the components of x. This system can be written in matrix form as:
[\begin{array}{cc} 1 & -3 \\ 4 & -11 \\ -3 & 8 \end{array}\right] [\begin{array}{c} c1 \\ c2 \end{array}\right] = [\begin{array}{c} x1 \\ x2 \\ x3 \end{array}\right]
We can solve for c1 and c2 using row reduction or matrix inversion. The B-coordinate vector of x is then:
[x]_B = [\begin{array}{c} c1 \\ c2 \end{array}\right]
Note that we only need two basis vectors to find the B-coordinate vector of x, since H is a two-dimensional subspace. The third basis vector b3 is not needed.
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The Smith Family is buying a house for $350,000 with a down payment of $70,000 for a 15-year loan, $66 per month insurance, property tax is $230 per month and HOA is $600 per year. Calculate their total monthly payment
Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.
What is the Monthly Payment?To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.
1. Mortgage Payment:
The loan amount is the house price minus the down payment:
$350,000 - $70,000 = $280,000.
To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).
We can use a mortgage calculator formula to calculate the monthly payment:
M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]
Where:
M = Monthly mortgage payment
P = Loan amount
i = Monthly interest rate
n = Number of months
The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.
i = 4% / 12 = 0.00333 (monthly interest rate)
n = 180 (loan term in months)
Plugging in the values into the formula:
M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]
Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.
2. Insurance:
The monthly insurance payment is given as $66.
3. Property Tax:
The monthly property tax payment is given as $230.
4. HOA Fees:
The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.
Now, let's add up all these expenses:
Mortgage payment: $2,014.99
Insurance: $66
Property tax: $230
HOA fees: $50
Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees
Total monthly payment = $2,014.99 + $66 + $230 + $50
Total monthly payment = $2,360.99
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A firetruck parks 25 feet away from a building. The fire truck extends its ladder 60 feet to the very top of the building. How tall is the building?
Answer:
/2975
Step-by-step explanation:
Pythagorean theorem = A^2 + B^2 = C^2
We already know C^2 (60 ft) and B^2 (25ft)
We need to find A^2
C^2 - B^2 = A^2
60^2 - 25^2
3600 - 625 = 2975
Find the square root of 2975
There is no whole number squared that equals 2975
Height of the building is square root 2975
Check statement
/2975+ 25^2
2975 + 625 = 3600
The square root of 3600 is 60^2
Making the statement true
A^2 + B^2 = C^2
A^2 = 2975
B^2 = 25^2
C^2 = 60^2
2975 + 25^2 = 60^2
Write the equation of a line with a slope of 7 and a y-intercept of -3. Put the equation in slope-intercept form.
Answer:
y=7x-3
Step-by-step explanation:
y=mx+b
m is the slope, so replace m with 7
b is the t-intercept so replace b with the -3.
In the following expression, what is the coefficient? 3x + 7
Answer:
3 is
Step-by-step explanation:
A co efficient is when there is a number attached to a variable.
A constant is a number standing by itself.
An expression is the numbers that are being shown in your post (when you have to solve for x, its kind of like an equation but it snot the same *just to give you an idea*).
I just want you to be prepared for middle school because your going to need to know these names ;D
f(x)=5x-2 and g(x)=2x-5 what is (fog)(x)
Answer:
(fog)(x)=10x-27
Explanation:
Given the function:
\(\begin{gathered} f\mleft(x\mright)=5x-2 \\ g\mleft(x\mright)=2x-5 \end{gathered}\)The composite function (fog)(x) is:
\(\begin{gathered} (f\circ g)(x)=f(g(x)) \\ =5(g(x))-2 \\ =5(2x-5)-2 \\ =10x-25-2 \\ (f\circ g)(x)=10x-27 \end{gathered}\)Which sequence of transformations on preimage ∆ABC will NOT produce the image ∆A'B'C'?
A.
reflection across the line y = -x followed by a rotation 180° counterclockwise about the origin
B.
reflection across the y-axis followed by a rotation 90° clockwise about the origin
C.
reflection across the line y = x
D.
rotation 180° clockwise about the origin followed by a reflection across the line y = -x
E.
reflection across the x-axis followed by a reflection across the y-axis
Answer:
a
Step-by-step explanation:
In 45 minutes, i will give you three likes (a) You would like to measure wind speed with a cup anemometer on a sailboat trip across the Atlantic Ocean. The measure of the rotational speed of the axle of the device has a precision of +/-0.2 rotations/s and was calibrated in a steady wind-tunne flow at 20m/s with 10 rotations/s. Define for the below-given situations,1 to 4,the type of error (random or systematic and explain how to overcome or reduce this error. 1 2 3 4 Bearing of the axle is old Turbulent flow Icing on the cups Strong tumbling of the sailboat You would like to use it for a measure of the in-cabin air flow a quiet environment Discuss why the measurement system is not well posed for this purpose.
When measuring wind speed with a cup anemometer on a sailboat trip across the Atlantic Ocean, there are a few situations that may arise, as shown below:1. When the bearing of the axle is old, the type of error that occurs is systematic error. To reduce or overcome this error, you would need to replace the bearing to avoid it.
2. When there is turbulent flow, the type of error that occurs is random error. To overcome this error, you would have to wait for the wind to stabilize or take an average of many measurements. 3. When there is icing on the cups, the type of error that occurs is also random error.
To overcome this error, you would need to remove the ice or wait for it to melt before continuing the measurement.4. When there is strong tumbling of the sailboat, the type of error that occurs is systematic error. To overcome this error, you would need to find a way to stabilize the boat or take measurements when the boat is less unstable.
It is not well posed to use a cup anemometer to measure in-cabin air flow in a quiet environment because the device is not sensitive enough. The device needs a minimum wind speed to provide accurate readings, and it is not designed to measure low wind speeds. Therefore, it may not be the right tool for the job, and a different instrument may be more appropriate.
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A greengrocer buys 20 cases of oranges at a cost of $15 per case. Each case contains 10 kg of oranges. If he sells the oranges at $4/kg, how many kilograms must he sell before he makes a profit? If he sells all the oranges what will be his profit?
Answer:greengrocer should Dell 17 kg before profit. 500$ profit
Step-by-step explanation:
Put the puzzle together by solving Last week, Alina walked 1.7 miles on Saturday and 2.56 miles on Sunday. How many miles did she walk last weekend?
Answer:
She walked 4.26 miles
Step-by-step explanation:
I just added both the miles given to get total miles walked on the weekend