An angle measures 81.4° less than the measure of its complementary angle. What is the measure of each angle?

The explanatory variables and response variables for this relationship are;

b. Explanatory variable: high school GPA

   Response variable: college GPA

What are explanatory variables?

When it comes to an experiment, a researcher-manipulated variable is an explanatory variable. It acts as a gauge of the transformation the response variable underwent.

Explanatory variables are frequently referred to as predictor variables or independent variables. A response variable is the variable that a researcher is asking a specific question about.

Numerous variables, referred to as explanatory variables, might have an impact on the response variable.

Therefore, the correct option is b, Explanatory variable: high school GPA, Response variable: college GPA.

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Complete question:

College administrators at a small, private college

noticed that students who had higher high school

GPAs tend to have higher college GPAs.

What are the explanatory variable and response

variable for this

relationship?

Explanatory variable: size of college

Response variable: college GPA

Explanatory variable: high school GPA

Response variable: college GPA

Explanatory variable: college GPA

Response variable: high school GPA

Explanatory variable: type of college (public)

Response variable: college GPA

Logistic regression models the probability of a binary outcome, while CART models segment data into categories. For example, CART is preferable when data has complex interactions, as it can partition data into multiple categories.

Logistic regression and classification and regression trees (CART) are two different machine learning models used for binary classification problems. Logistic regression models the probability of one class or the other based on a linear combination of input variables. This makes it useful for predicting a binary outcome, such as whether a customer will purchase a product or not. On the other hand, CART is a decision tree model that divides data into categories. It uses a tree-like structure to split the data into segments based on the input features. This makes it useful for dealing with data with complex interactions, as it can partition data into multiple categories. For example, a CART model would be preferable to a logistic regression model if there are multiple underlying factors that affect the binary outcome. In this case, a CART model could more accurately identify the categories that are associated with a particular outcome. Overall, CART models are superior for dealing with data with complex interactions, whereas logistic regression is better for simpler data.

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

( -3, -2 )

Step-by-step explanation:

Rate me branliest please :)

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

Answer:

10 weeks

Step-by-step explanation:

20x+50=250

First subtract 50 from both sides, which gives you 20x=200

then divide 20 from both sides which gives you x=10

Answer:

28.79 cm.

Step-by-step explanation:

The perimeter of a semicircle is equal to the sum of the diameter (which is twice the radius) and half of the circumference of the circle.

The diameter of the semicircle is 2 × 5.6cm = 11.2cm.

The circumference of a full circle with radius 5.6cm is 2π × 5.6cm = 11.2π cm.

Therefore, the circumference of the semicircle is 1/2 of the circumference of the full circle, which is 1/2 × 11.2π cm = 5.6π cm.

The perimeter of the semicircle is the sum of the diameter and the circumference, which is:

11.2cm + 5.6π cm ≈ 28.79cm (rounded to two decimal places)

Therefore, the perimeter of the semicircle is approximately 28.79 cm.

Answer:

pi ( 5.6 ) + 11.2 or approximately 28.79291 cm

Step-by-step explanation:

The outside of the semicircle or the perimeter is 1/2 of the circumference and the length that closes the circle is the diameter.

Perimeter = 1/2 C + d

                 = 1/2 *pi*d + d

The diameter is 2 times the radius.

                 = 1/2 ( pi) * (2r) + 2r

                  = pi r + 2 r

                   = pi ( 5.6 ) + 11.2

Approximating pi, we get approximately 28.79291

The mean (µx) and standard deviation (σx) of a sample can be determined using the given parameters of the population mean (µ), population standard deviation (σ), and sample size (n).

In this case, since we are given the population mean (µ = 84), the mean of the sample (µx) will be the same as the population mean.

µx = 84 (same as the population mean)

σx = 18 / √36 = 3 (the population standard deviation divided by the square root of the sample size)

To determine the standard deviation of the sample (σx), we divide the population standard deviation (σ = 18) by the square root of the sample size (n = 36). This is based on the principle that the standard deviation of the sample is expected to be smaller than the standard deviation of the population, and it decreases as the sample size increases.

Therefore, in this scenario, the mean of the sample (µx) is 84, and the standard deviation of the sample (σx) is 3. These values represent the central tendency and variability of the sample data.

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Answer:

1/4

Step-by-step explanation:

5/20 donus had sprinkles

So the probability will be 5/20 = 1/4

Answer:

1/3

Step-by-step explanation:

constant proportionality = x/y

x1/y1 , x2/y2 , x3/y3 , ....

5/15 , 10/30 , 6/18 , 9/27 , 2/6

= 1/3 , 1/3 , 1/3 , 1/3 , 1/3

since in all the cases x/y = 1/3 ,

Therefore, the contant proportionality in the given table is 1/3

Hope it's helpful..

In linear equation, 4,000 guest nights did the hotel have during this period.

What is a linear equation in mathematics?

A linear equation is an algebraic equation of the form y=mx+b. m is the slope and b is the y-intercept. The above is sometimes called a "linear equation in two variables" where y and x are variables. 

According to question,

Guest nights = Number of guests × Number of nights

                       = 2,000 × 2

                       = 4,000

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Answer:

Kenneth: 12 years old

Randy: 48 years old

Step-by-step explanation:

For this problem, we can use system of equations to solve. Let's use r for Randy and k for Kenneth.

Equation 1

r=4k

This equation comes from the first part, where Randy is four times as old as Kenneth.

Equation 2

r=36+k

This equation comes from the second part, where Randy is 36 years older than Kenneth.

Since we have r=, we can use substitution method.

4k=36+k                   [subtract both sides by k]

3k=36                       [divide both sides by 3]

k=12

Now that we have found k, we can plug that into any equation to find r.

r=4(12)                      [multiply]

r=48

Now, we know that Randy is 48 years old and Kenneth is 12 years old.

Answer:

y = 1/3 + 6

Step-by-step explanation:

The value of the standard error of the mean in each of the following cases are as follows: a) = 1.414213562 = 1.41, b) = 1.41, c) = 1.41 and d) = 1.34.

As standard error (SE) = s × fpc /sqrt (n) and fpc = sqrt [(N-n) / (N-1)] where,

N = population size

n = sample size

then,

a) The population size is infinite (to 2 decimals).

If N = infinity, then fpc = 1.

Thus, SE = 10×1/sqrt (50) = 1.414213562 = 1.41  

b) The population size is N = 50,000 (to 2 decimals).

If N = 50000, then

fpc = sqrt [(50000-50)/(50000-1)] = 0.99950987

Thus, SE = 10*0.99950987/sqrt (50) = 1.413520414 = 1.41  

c) The population size is N = 5000 (to 2 decimals).

If N = 5000, then

fpc = sqrt [(5000-50)/ (5000-1)] = 0.995086951

Thus, SE = 10*0.995086951/sqrt (50) = 1.407265462 = 1.41

d) The population size is N = 500 (to 2 decimals).

If N = 500, then

fpc = sqrt [(500-50)/ (500-1)] = 0.949633407

Thus, SE = 10*0.949633407/sqrt (50) = 1.342984443 = 1.34

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Answer:

27/2 or 13 1/2

Step-by-step explanation:

The first answer is 3

The second answer is 10 1/2

A household with a credit score of 525 will pay $9,256.00 more than a household with a credit score of 675.

According to my findings, a household with a credit score of 525 will pay $9,256.00 more compared to a household with a credit score of 675.

Mortgage lenders typically charge higher interest rates to individuals with lower credit scores than to those with higher credit scores.

So, if you have a poor credit score, you'll have to pay more for your mortgage than if you had a strong credit score.

You can use the following data to calculate how much more a household with a credit score of 525 will pay compared to a household with a credit score of 675.

The total cost of a $200,000, 30-year fixed-rate mortgage with a 525 credit score and a 4.5% interest rate is $446,668.

The total cost of a $200,000, 30-year fixed-rate mortgage with a 675 credit score and a 3.1% interest rate is $437,412.A household with a credit score of 525 will pay $9,256.00 more than a household with a credit score of 675.

The answer is $9,256.00.

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The approximate value of x is 5.89.

We need to utilise trigonometric functions to estimate the value of x. The tangent of the angle opposite the side of length x in the right triangle in the diagram is represented by:

tan(26°) = x/12

When we multiply both sides by 12, we obtain:

x ≈ 12 × tan(26°) ≈ 5.89

Hence, x has a rough value of 5.89.

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In 5040 different ways, 7 runners can places 1 through 4 be determined if in a race there are 7 runners. trophies for the race are awarded to the runners finishing in places 1 through 4.

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations. Combinations exist when the order doesn't matter, but permutations exist when it does. A permutation could be described as an ordered combination. The following formula determines how many permutations of n objects, taken r at a time: P(n,r)=n!

Given,

Ways 7 runners can places 1 through 4 be determined:

By using permutation:

7!

7 ×6 × 5 ×4×3×2×1

5040

In 5040 different ways, 7 runners can places 1 through 4 be determined if in a race there are 7 runners. trophies for the race are awarded to the runners finishing in places 1 through 4.

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The partial fraction decomposition of 1/(x² -1)² is A/(x-1) + B/(x-1)² + C/(x+1) + D/(x+1)², where A = 1/4, B = -1/2, C = -1/4, and D = -1/2.

To find the partial fraction decomposition of 1/(x² -1)², follow these steps:

1. Factor the denominator: (x² -1)² = (x-1)²(x+1)².
2. Set up the partial fractions: A/(x-1) + B/(x-1)² + C/(x+1) + D/(x+1)².
3. Clear the denominators by multiplying both sides by (x-1)²(x+1)².
4. Simplify and collect terms, resulting in the equation: 1 = A(x-1)(x+1)² + B(x+1)² + C(x-1)²(x+1) + D(x-1)².
5. Solve for the undetermined coefficients A, B, C, and D by substituting convenient values of x and solving the system of equations.
6. The coefficients are found to be A = 1/4, B = -1/2, C = -1/4, and D = -1/2.

The partial fraction decomposition is: (1/4)/(x-1) - (1/2)/(x-1)² - (1/4)/(x+1) - (1/2)/(x+1)².

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Fraction value for 1/4 plus 1/4 is 1/2.

The same denominator and different numerators are considered equivalent fractions in mathematics. For instance, since 2/4 and 3/6 both equal 1, they can both be considered similar fractions. A fraction is a portion of a whole. Equivalent fractions depict identical sections of the total.

It is possible to determine the equivalent fraction of any fraction by multiplying the numerator and denominator by the same integer. Equivalent fractions are those that represent the same value despite having different visual characteristics. For instance, if you cut a piece of cake in half and eat one of the pieces, you will have eaten half of the cake.

= 1/4+1/4

= 2/4

= 1/2

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Correct Question:

What is 1/4 plus 1/4 as a fraction?.

The solution of the given initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.

To solve the initial value problem, we start by finding the complementary solution, which satisfies the homogeneous differential equation y'' + y = 0. The complementary solution is given by y_c(t) = A sin(t) + B cos(t), where A and B are constants to be determined.

Next, we find the particular solution for the given non-homogeneous term δ(t-2π)cos(t). Since the forcing term is a Dirac delta function at t = 2π, we can write the particular solution as y_p(t) = K(t-2π)cos(t-2π), where K is a constant to be determined.

Applying the initial conditions y(0) = 0 and y'(0) = 1, we can solve for the constants A, B, and K. Plugging in these initial conditions into the general solution, we find A = 0, B = 1, and K = 1.

Therefore, the solution of the initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.

The initial value problem with the given conditions is solved by finding the complementary solution and the particular solution. The solution is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function. This solution satisfies the given initial conditions y(0) = 0 and y'(0) = 1.

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1. if 4 + 4 = x  you'd say x = 8

pre-algebra wants you to get used to using letters like x in math

where x = the answer

put x on one side of the equal sign & the numbers on the other side

letters like x help people do bigger & is more complicated math

2. in real life math the symbols

less than or < means "up to" or "at most" &

great than or > means "at least"

which helps with things like money & prices

like "that chair is at least $100" or "chair > $100"

3. negative numbers are backwards:

-4 -5 -6 are considered smaller than -3

Answer:

in pre algebra

you have to do the math so that you

put x on one side of the equal sign &

the numbers on the other side

x = the answer

for  

1.

2x - 7 = 3 (x - 4)

multiply 3 with  (x - 4)

you do this by

multiplying 3 with x and

multiplying 3 with- 4

2x - 7 = 3 (x - 4)

2x - 7 = 3x - 12

put x on one side of the equal sign & the numbers on the other side

2x - 7 = 3x - 12

-2x     = -2x    

2x -2x = 0 & 7 comes down.

3x -2x = 1x & - 12  comes down

0 - 7 = 1x - 12

add 12 on both sides

- 12 + 12 = 0

- 7 + 12 is the same as 12 - 7 which is 5

0 + 5  =  1x - 0

you dont have to show the 0

& if its 1x you you dont have to show the 1

5 = x or x = 5

2.

5x + 3 < 4x - 1

for now treat < like an equal sign

in real life math the symbols  < & > mean at least or at most

which helps with things about money

5x + 3 < 4x - 1

subtract -4x on both sides

5x + 3 < 4x - 1

-4x         -4x

1x + 3 < 0 - 1

subtract 3 on both sides

1x + 3 < 0 - 1

1x - 3 < 0 - 3

x < - 3

answer means the answer is

at most -4

up to -4

& less than -3 because

-4 is the highest number thats less than -3

negative numbers are backwards

-4 -5 -6 are considered smaller than -3

Step-by-step explanation:

x is called a variable

if someone wrote

4 + 4 = x

you'd say x = 8, right?

pre-algebra wants you to get used to using letters like x in math

because letters like x help people do math that has much bigger numbers & is more complicated

this higher math companies like banks & hospitals help people deal with money & medicine

problems in pre-algebra

the answers usually look like

x = the answer

Answer:

2:30

Step-by-step explanation:

58+32=90

90-60=30

2:30 is the answer

Answer: she will get home at 2:30

Step-by-step explanation:

If you start at 1:32 then take 28 min from 58 then you get 2:00

Finally add 30 yo that and get 2:30.

The most the salon would be willing to pay that groomer is $25×4 = $100.

The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.

Some key features regarding the unitary method are-

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Answer:

The slope of the graph is 2.5.

Susan spends $2.50 on lunch per day.

Step-by-step explanation:

Given

\(Point: (0,0)\ to\ (1,2.5)\)

Required

Which of the given options is true

First, we need to determine the slope (m)

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{2.5 - 0}{1 - 0}\)

\(m = \frac{2.5}{1}\)

\(m = 2.5\)

This implies that the first option is true

Next, we determine the line equation using:

\(y - y_1 = m(x - x_1)\)

This gives:

\(y - 0 = 2.5(x - 0)\)

\(y = 2.5x\)

Substitute 0 for x to determine the y intercept

\(y = 2.5* 0\)

\(y = 0\)

This implies that the second option is false

The third option is also false

Take x as 1

\(y = 2.5 * 1\)

Take x as 2

\(y = 2.5 * 2 = 5.0\)

Take x as 3

\(y = 2.5 * 3 = 7.5\)

The presence of 2.5 in the equations above indicates that Susan spends $2.50 on lunch daily.

Hence, the fourth option is correct

Answer:

1.07

friend me? anyone

Answer:

6.5 hours

Step-by-step explanation:

distance = rate times time

1.1 = .17t  t stands for time  Divide both side by .17

my calculator shows 6.47058823527  We need to round to one decimal place

time = 6.5 hours or 6 1/2 hours

Yes, it is greater than the portion of the students who walk to school.

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. It is given by:

Percentage = (value / total value) * 100%

Students who walk = 18%

18% of 50 = (18/100) x 50

Students who walk = 9

While the students who live within the 1/2 mile of the school = 11

We can deduce that 11 is greater than 9.

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Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiii

Answer: 8/20

Step-by-step explanation: