a certain university awards scholarships to athletes and to superior academic candidates. eight percent of the students received a scholarship. 20% of the students were athletes. what percent of the students did not receive a scholarship?

Answer:

"31st in the sequence"

87/3 = 29 ..   29 subtractions needed to get to zero

the 30th position in the sequence will be zero

the 31st is the first negative term

1 87

2 84

3 81

4 78

5 75

6 72

7 69

8 66

9 63

10 60

11 57

12 54

13 51

14 48

15 45

16 42

17 39

18 36

19 33

20 30

21 27

22 24

23 21

24 18

25 15

26 12

27 9

28 6

29 3

30 0

31 -3

Step-by-step explanation:

Answer:

angle 4

its on the outside and it is alternate

Answer:

d

Step-by-step explanation:

Linear equation for the relationship between flour and milk cups

y = 4x,

where x is number of milk cups

y is number of flour cups

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

A recipe requires 1 cup of milk for every 4 cups of flour.

Ratio between milk(x) and flour(y)

x/y = 1/4

y = 4x

where x number of cups of milk

y is number of cups of flour

Hence, y = 4x is the linear equation that defines the relationship.

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Number of students included  in the sample to estimate the proportion with confidence interval 95% is equal to 9604.

As given in the question,

Confidence interval = 95%

z -critical value for 95% confidence interval = 1.96

Estimate proportion is in the limit 0f 0.07

Let us assume value of

sample proportion 'p' = 0.5

Margin of error  = 0.01

level of significance = 0.05

let 'n' be the sample size to represent number of students included for the hypothesis.

n = p ( 1 - p ) ( z- critical value / margin of error )²

⇒ n = 0.5 ( 1 - 0.5 )( 1.96 / 0.01 )²

⇒ n = 0.5 (0.5 ) (3.8416/ 0.0001)

⇒ n = 0.25 × 38416

⇒ n = 9604

Therefore, the number of students included for the hypothesis to estimate the proportion with confidence interval 95% is equal to 9604.

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Answer:

40% and 60%

╰(*°▽°*)╯

Step-by-step explanation:

60% of 17 is 10.2 making 40% and 60% the closest choice to 9

So, the answer would be 40% and 60%

╰(*°▽°*)╯

Answer: p lies between 50% and 55%

Step-by-step explanation: if 9 is p percent of 17, then p is a number between what numbers

9 is p percent of 17

Lets make the equation for the given statement

9 = p percent times 17

p percent is p /100

Lets solve for p

multiply both sides by 100

Divide both sides by 17

p= 52.9

Hence we say that p lies between 50% and 55%

Answer:

What is the length of EF: 12

What is the length of BC: 8

Step-by-step explanation:

Since there congruent shapes the line segments are gonna be the same lengths.

Answer:

Step-by-step explanation:

If the figures are congruent then BA and FE are equal. You only know this by the shape.

Answer:

Fernando saved $85

Step-by-step explanation:

1.  150*(1-40%)=90

2.  90-25=65

3.  150-65=85

4.  (double checking) 85+65=150

Answer:

Each term in pattern B is 9 less than the corresponding term in pattern A.

The level of equilibrium (GDP) or Y in the hypothetical economy is 600.

To calculate the equilibrium level of GDP, we need to equate aggregate expenditure to GDP. The aggregate expenditure (AE) is given by the formula AE = C + I + G + (X - M), where C is consumption, I is investment, G is government purchases, X is exports, and M is imports.

Given the values:

C = 200 + 0.8Yd

I = 150

G = 100

X = 100

M = 50

We can substitute these values into the AE formula:

AE = (200 + 0.8Yd) + 150 + 100 + (100 - 50)

AE = 450 + 0.8Yd

To find the equilibrium level of GDP, we set AE equal to Y:

Y = 450 + 0.8Yd

Since Yd is the disposable income, we can calculate Yd by subtracting income taxes from Y:

Yd = Y - taxes

Yd = Y - 50

Substituting this into the equation for AE:

Y = 450 + 0.8(Y - 50)

Now we solve for Y:

Y = 450 + 0.8Y - 40

0.2Y = 410

Y = 410 / 0.2

Y = 2050

Therefore, the equilibrium level of GDP (Y) is 600.

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The values of the missing angles and sides after dilation are:

m∠C'B'D' = 95°,  CQ = 6 and  B'D' = 11.

m∠C'B'D = 180° - m∠B'C'D' - m∠B'D'C'

m∠B'C'D = m∠BCD, m∠B'D'C' = m∠BDC  (dilation)

m∠C'B'D = 180° - 34° - 51° = 95°

Thus, by way of scale factor we can say that:

BC/B'C' = BD/B'D' = 36/18 = 2

B'D' = ¹/₂BD = ¹/₂ * 22 = 11

ΔC'P'Q ∼ ΔCPQ

Thus:

C'Q'/CQ = C'D'/CD = D'Q'/DQ

CQ = 2C'Q' = 2 * 3 = 6

Therefore, m∠C'B'D' = 95°,  CQ = 6 and  B'D' = 11.

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Just take it in co-ordinate pairs

Take two points

Slope:-

\(\\ \sf\longmapsto m=\dfrac{40-60}{41-58}\)

\(\\ \sf\longmapsto m=\dfrac{-20}{-17}\)

\(\\ \sf\longmapsto m=\dfrac{20}{17}\)

\(\\ \sf\longmapsto m\approx 1.2\)

Equation of line in point slope form

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

\(\\ \sf\longmapsto y-60=1.2(x-58)\)

\(\\ \sf\longmapsto y-60=1.2x-69.6\)

\(\\ \sf\longmapsto 1.2x-y-9.6=0\)

\(\\ \sf\longmapsto y=1.2x-9.6\)

Graph attached

Answer:

Here's what I get.

Step-by-step explanation:

1. Representation of data

I used Excel to create a scatterplot of the data, draw the line of best fit, and print the regression equation.

2. Line of best fit

(a) Variables

I chose arm span as the dependent variable (y-axis) and height as the independent variable (x-axis).

It seems to me that arm span depends on your height rather than the other way around.

(b) Regression equation

The calculation is easy but tedious, so I asked Excel to do it.

For the equation y = ax + b, the formulas are

(DOWN BELOW)

This gave the regression equation:

y = 1.0595x - 4.1524

(c) Interpretation

The line shows how arm span depends on height.

The slope of the line says that arm span increases about 6 % faster than height.

The y-intercept is -4. If your height is zero, your arm length is -4 in (both are impossible).

(d) Residuals

The residuals appear to be evenly distributed above and below the predicted values.

A graph of all the residuals confirms this observation.  

The equation usually predicts arm span to within 4 in.

(e) Predictions

(i) Height of person with 66 in arm span

(ii) Arm span of 74 in tall person

Answer:

5 and 6

Step-by-step explanation:

-5 x 6 = -30

-5 + (6) = 1

x2 + 1x - 30 = 0

(X - 5 ) (X + 6)

To summarize, since -5 and 6 multiply to -30 and add up 1, you know that the following is true:

x2 + 1x - 30 = (X - 5 ) (X + 6)

The sum of the expression is equivalent to 2.

A fraction represents a part of a whole or, more generally, any number of equal parts.

Given is that Erin is painting the stairs on her deck. She has 5/4 quarts of paint. She needs 2/8 quart of paint for each stair-step.

Assume that the number of steps that Erin can paint are {n}. So, we can write -

(2/8)n = 5/4

n = 5/4 x 8/2

n = 5

Therefore, Erin can paint a total of 5 steps.

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The probability that all coins show heads up is 1/16.

The probability of one is 1/2: Half of the time (on average, as all numbers in this answer will be) it will show heads.

Of those times it shows heads, only half of the time will the second coin also show heads. We're down to a quarter of the time now.

Of those times the second coin shows heads, only half of the time will the third coin also show heads. This is 1/8.

And, of the times the third coin also shows heads, only half of the time will the fourth coin also show heads. Half of 1/8 is 1/16.

You can simplify this by calculating (1/2)^4.

= 1/16

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Take all coins that are still on tails and keep flipping them until they land on heads. We flip 4 coins simultaneously. What is the probability that all coins show heads up?

Units for the perimeter are in kilometers

==============================================

Work Shown:

L = length = 6x-29

W = width = 5x-17

P = perimeter of rectangle

P = 2*(L + W)

P = 2*(6x-29 + 5x-17)

P = 2*(11x - 46)

P = 2*11x + 2*(-46)

P = 22x - 92

If we knew the value of x, then we could find the actual numeric value for the perimeter. However, we don't have that info, so we leave it as is.

Answer:

see explanation

Step-by-step explanation:

45,612 × \(\frac{1}{2}\) = 22,806

Thus Beth sold half the number of books that Rodney sold

(4)

\(\frac{1}{2}\) × 2,175 = 1,087.5 < 2,175

The three methods for the evaluation of the accuracy of a classifier are Hold-out method, Cross-validation, and Bootstrap. The major differences among the three methods are explained below:a) Hold-out method:This method divides the original dataset into two parts, a training set and a test set.

The training set is used to train the model, and the test set is used to evaluate the model's accuracy. The advantage of the hold-out method is that it is simple and easy to implement. The disadvantage is that it may have a high variance, meaning that the accuracy may vary depending on the particular training/test split.b) Cross-validation:This method involves dividing the original dataset into k equally sized parts, or folds. This process is repeated k times, with each fold used exactly once as the test set.

The advantage of cross-validation is that it provides a more accurate estimate of the model's accuracy than the hold-out method, as it uses all of the data for training and testing. The disadvantage is that it may be computationally expensive for large datasets, as it requires training and testing the model k times.c) Bootstrap:This method involves randomly sampling the original dataset with replacement to generate multiple datasets of the same size as the original. A model is trained on each of these datasets and tested on the remaining data.

In conclusion, the hold-out method is the simplest and easiest to implement, but may have a high variance. Cross-validation and bootstrap are more accurate methods, but may be computationally expensive for large datasets.

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The system of equations that matches the given graph is:

A. 3x - 6y = 12

9x - 18y = 36

To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.

Looking at the options provided:

A. 3x - 6y = 12

9x - 18y = 36

B. 3x + 6y = 12

9x + 18y = 36

Let's analyze the equations in each option:

For option A:

The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.

The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.

In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.

For option B:

The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.

The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.

In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.

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Step-by-step explanation:

remember, the area of a whole circle (360°) is

pi×r²

r being the radius (half is the diameter).

so in circle B the radius is 48/2 = 24 meters.

the shaded area (with the 90° angle or "right angle") represents only a part of the whole circle : 90° out of the total of 360°.

so, the area is

pi×24²×90/360 = pi×576/4 = pi×144 = 452.3893421... m²

≈ 452.4 m²

for the question about circle P and the segment AB I don't have any graphic or so. but the answer is general :

since a whole circle is 360°, then a half-circle (the arc between the endpoints of the diameter) represents 360/2 = 180°.

about the circle A

remember the circumference of a whole circle (360°) is

2×pi×r

so, in our case r = 15 in

and we don't need the length of the full circumference but only of 110° out of the total of 360°.

so,

LG = 2×pi×15×110/360 = 2×pi×110/24 = pi×110/12 =

= pi×55/6 = 28.79793266... in

≈ 28.8 in

for the circle R

the angle J is the angle UJN = 28°.

this is per rule of inscribed angles half the arc angle URN.

so, the angle URN = 2×28 = 56°.

but we need only the angle URL.

the angle URL = angle URN - angle LRN.

the angle LRN is the mirrored version of the angle JRM = 21°.

so, the angle URL = 56 - 21 = 35°.

The economic impact of fishing for nearly all great lakes states varies, but according to a report by the U.S. Fish and Wildlife Service, it falls within the range of $1 to $8 billion (in millions of dollars).

This impact includes the economic contributions of recreational fishing, commercial fishing, and related industries such as tourism and boat manufacturing. The exact amount varies from state to state and from year to year depending on factors such as weather, fish populations, and fishing regulations.

The Great Lakes region of the United States is home to some of the largest freshwater bodies in the world and boasts a rich variety of fish species. Fishing is an important economic activity in the region, contributing billions of dollars to the local and national economy. The economic impact of fishing in the Great Lakes region includes not only the direct revenue generated by commercial and recreational fishing, but also the indirect and induced effects of fishing-related industries such as tourism and boat manufacturing.

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Answer:

OPTION A is correct

39 ounces

Step-by-step explanation:

Given:

The amount of water in the pitcher= 32 ounces

The amount of lemon juice in the pitcher = 7.15 ounces

We were to calculate the most reasonable estimate for the amount of liquid in the pitcher

To do this we need to sum up the Amount of water and Amount of lemon juice in the pitcher because the water is a liquid as well as the lemon juice which is

32 ounces + 7.15 ounces

=39.15 ounces

Therefore, the Estimated amount of liquid in the pitcher is approximately 39 ounces

Here is the completed table:

Name of the food                         Price with 15% profit

Apple (whole)                                    $9.20

Banana  (whole)                                 $8.34

Chocolate  (whole)                             $6.90

Chocolate chip ( 1 dozen)                   $5.46

Oatmeal ( 1 dozen)                               $5.75

Pecan  (whole)                                       $11.50

Pumpkin  (whole)                                    $13.80

Snickerdoodle  ( 1 dozen)                       $4.89

Vanilla  (whole)                                      $5.18

Percentage is used to represent statistics. Percentage means to rewrite a number per hundred. To convert a number to percentage, multiply the number by 100. The sign that is used to represent percentage is %.

Profit is the excess of the cost of production over the price at which the good is sold.

Profit = ( 1 + targeted profit) x cost

= (1 + 0.15) x cost

1.15 x cost

Profit on Apple (whole) = 1.15 x 8 = $9.20

Profit on Banana  (whole) = 1.15 x 7.25 = $8.34

Profit on Chocolate  (whole) = 1.15 x 6 = $6.90

Profit on Chocolate chip ( 1 dozen) = 1.15 x 4.75 = $5.46

Profit on Oatmeal ( 1 dozen) = 1.15 x 5 = $5.75

Profit on Pecan  (whole) = 1.15 x 10 = $11.50

Profit on Pumpkin  (whole) = 1.15 x 12 = $13.80

Profit on Snickerdoodle  ( 1 dozen)= 1.15 x 4.25 =$4.89

Profit on Vanilla  (whole) = 1.15 x 4.5 = $5.18

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Answer:

Step-by-step explanation:

i=75+5b

The expression that describes the total investment(money spent) in light is 75+ 5(b)

Word problems require the application of algebraic expression in solving real-life problems. It can be expressed with the use of variables and arithmetic operations.

From the given information:

The total investment spent in light = 75 + 5b

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Answer:

slope

(0, 6) and (-9, 0)

0 - 6 / -9 - 0 = -6/-9 = 2/3

y intercept is when the line intercepts the y axis and x = 0

The slope of the line shown in the graph is 2/3 and the y-intercept of the line is 6

Answer:

slope is 2/3

y intercept is 6

Step-by-step explanation:

We can find the slope of the line by using two point

(-9,0) and (0,6)

The slope formula is

m = ( y2-y1)/(x2-x1)

   = ( 6 - 0) /( 0 - -9)

   = (6-0)/(0+9)

  = 6/9

  = 2/3

The y intercept is where it crosses the y axis ( the value where x is 0)

The y intercept is 6

Answer:

reee

Step-by-step explanation:

skreeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answer:

105

Step-by-step explanation:

15×3

45

35×3=105

Given:

The graph of h(x) is the greed dashed line segment.

To find:

The endpoints of the function \(h^{-1}(x)\).

Solution:

If (a,b) is the point on the graph of the function f(x), then (b,a) must be the point on the inverse function \(f^{-1}(x)\)

From the given graph, it is clear that the endpoint of the line segment h(x) are (-8,1) and (3,-4).

So, the endpoints of the inverse function \(h^{-1}(x)\) are (1,-8) and (-4,3).

Therefore, the endpoints of \(y=h^{-1}(x)\) are (1,-8) and (-4,3), and the graph is shown below.

Answer:

Sum of arithmetic series is \(2077\)

Step-by-step explanation:

We have \(n\)th term of arithmetic sequence

\(a+(n-1)d\)

Here

\(a+(n-1)d=127\\\\7+(31-1)d=127\\\\d=\frac{120}{30} \\\\=4\)

Sum of arithmetic sequence \(=\frac{n}{2} (2a+(n-1)d)\)

\(=\frac{31}{2} (2\times7+(31-1)4)\\\\=\frac{31}{2} (14+120)\\\\=31\times67\\\\=2077\)

Answer:

The sum of arithmetic series is 2077.

Step-by-step explanation:

Solution :

Here we have provided that :

We need to find :

Here's the required formula to find the sum of arithmetic series :

\(\longrightarrow{\pmb{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}\)

Substituting all the given values in the formula to find the sum of arithmetic series :

\({\longrightarrow{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}\)

\({\longrightarrow{\sf S = \dfrac{31}{2} \Big(7 + 127 \Big)}}\)

\({\longrightarrow{\sf S = \dfrac{31}{2} \Big(134 \Big)}}\)

\({\longrightarrow{\sf S = \dfrac{31}{2} \times 134 }}\)

\({\longrightarrow{\sf S = \dfrac{31}{\cancel{2}} \times \cancel{134 }}}\)

\({\longrightarrow{\sf S = 31 \times 67}}\)

\({\longrightarrow{\sf S = 2077}}\)

\(\star \: {\underline{\boxed{\sf{\red{S = 2077}}}}}\)

Hence, the sum of arithmetic series is 2077.

\(\rule{300}{1.5}\)