A 95% confidence interval for the slope of the regression line relating the number of grams of carbohydrates and the number of kilocalories per 100-gram sample of various raw foods is given by (2.505,6.696). The confidence interval is based on a random sample of n raw foods. A check of the conditions for inference on the slope shows they are reasonably met. Which of the following is a correct interpretation of the interval?
A. 95% of all such samples of size n will produce a sample slope between 2.505 and 6.696 for the regression line relating grams of carbohydrates and kilocalories per 100- g sample of various raw foods.
B. The probability is 0.95 that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.
C. We are 95% confident that the slope of the regression line for the random sample of n raw foods is between 2.505 and 6.696.
D We are 95% confident that the predicted number of kilocalories per 100-g sample will be between 2.505 and 6.696.
E. We are 95% confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.

Answer: $ 8.97

Step-by-step explanation:

Game =$9.78

toy=$ 6.34

sandwich =$4.91

Total amount  spent=$9.78+$6.34+$4.91=>  $21.03

Total amount=$30

left amount=total amount- amount spent

=   $30-&21.03

 =$8.97

Answer

[tex]f(t) = 91000 *1.0376^t[/tex]

Explanation

Given

[tex]a = 91000[/tex] -- initial

[tex]r = 3.76\%[/tex]

Required

The exponential equation

The exponential equation is:

[tex]y =ab^t[/tex]

Where

[tex]b=1 +r[/tex]

We used minus, because the rate increases..

So, we have:

[tex]b=1 +3.76\%[/tex]

[tex]b=1 +0.0376[/tex]

[tex]b=1.0376[/tex]

So:

[tex]y =ab^t[/tex]

[tex]y = 91000 *1.0376^t[/tex]

Hence:

[tex]f(t) = 91000 *1.0376^t[/tex]

Answer:

$9.80

Step-by-step explanation:

$13.21 - $3.41 = $9.80

Answer:$5.49

Step-by-step explanation:

Answer:

a) The mean is 3.15.

b) The variance is 1.1655.

c) The standard deviation is 1.08.

d) The expected number of families in the sample who choose fast food as a dining option for their families one to three times a week is 3.15. The variance of 1.1655 and the standard deviation of 1.08 are the averages from which the sample results should diverge from the mean.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The variance of the binomial distribution is:

[tex]V(X) = np(1-p)[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Sixty-three percent of U.S. mothers with school-age children choose fast food as a dining option for their families one to three times a week.

This means that [tex]p = 0.63[/tex]

You randomly select five U.S. mothers with school-age children and ask whether they choose fast food as a dining option for their families one to three times a week.

This means that [tex]n = 5[/tex]

(a) mean

[tex]E(X) = np = 5*0.63 = 3.15[/tex]

The mean is 3.15.

(b) variance

[tex]V(X) = np(1-p) = 5*0.63*0.37 = 1.1655[/tex]

The variance is 1.1655.

(c) standard deviation

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5*0.63*0.37} = 1.08[/tex]

The standard deviation is 1.08.

(d) interpret the results.

The expected number of families in the sample who choose fast food as a dining option for their families one to three times a week is 3.15. The variance of 1.1655 and the standard deviation of 1.08 are the averages from which the sample results should diverge from the mean.

Answer:

Look below

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/math/fractions.php

I PROMISE THIS IS NOT A SKETCHY LINK IT TAKES YOU TO A FRACTION CALCULATOR

9514 1404 393

Answer:

Step-by-step explanation:

The expression reduces to ...

  [tex]\dfrac{x^2+9x+20}{x^2+x-12}=\dfrac{(x+4)(x+5)}{(x+4)(x-3)}=\dfrac{x+5}{x-3}\quad (x\ne-4)[/tex]

The domain is limited to values of x where the expression is defined. It is undefined where the denominator is zero, at x=-4 and x=3. The graph of the expression has a "hole" at x=4, where the numerator and denominator factors cancel.

The function approaches the value of 1 as x gets large in magnitude, but it cannot take on the value of 1.

As discussed in 'range', there is a horizontal asymptote at y=1. That is the value you would get if you were to determine the quotient of the division:*

  (x+5)/(x-3) = 1 + (8/(x-3)) . . . . quotient is 1

There is a vertical asymptote at the place where the denominator is zero in the simplified expression: x = 3.

_____

* For some rational functions, the numerator has a higher degree than the denominator. In those cases, the quotient may be some function of x. The "end behavior" of the expression will match that function. (Sometimes it is a "slant asymptote", sometimes a higher-degree polynomial.)

Answer:

More than 275 dollars of here budget goes to emergencies

Step-by-step explanation:

11% of 2750 is $302.50

Answer:

3n^2 -5n -6 = 9  This is a quadratic Equation.

3n^2 -5n -15 = 0

It is solved with the Quadratic Formula:

n = [-b +-sqr root (b^2 - 4ac)] / 2a

a = 3

b = -5

c= -15

n = [--5 +- sqr root(25 -4*3*-15)] / 6

n = [5 +- sqr root (25 + 180) / 6

n = [5 +-sqr root (205) ] / 6

n = 5 + 14.3178210633 / 6

n1 = 19.3178210633 / 6

n1= 3.2196368439

n2= 5 - 14.3178210633 / 6

n2 = -9.3178210633 / 6

n2 = -1.5529701772

Step-by-step explanation:

Answer:

y

Step-by-step explanation:

Answer:

Steps:

V'W' = VW×2/3

V'W' = 21×2/3

V'W' = 42/3

V'W' = 14

Answer:

120

Step-by-step explanation:

You have 15 inches and 1 and 8 devide 15 multiply 1 and 8

Answer:960? correct for me!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

Givens

L = 5 cm

W = 5 cm

H = 2 cm

Formula

SA = 2L*W + 2L*H + 2*W*H

Solution

SA = 2*5*5 + 2*5*2 + 2*5*2

SA = 50 + 20 + 20

SA = 90 cm^3

Tyler have to read total 10 pages of this homework.

A fraction is a number representing a part of a whole.  The whole may be a single object or a group of objects.

Let, the total number of pages of homework be x.

According to the given question

Tyler read [tex]\frac{2}{5}[/tex] of his homework, which is 4 pages of his homework.

⇒ [tex]\frac{2}{5}[/tex]×[tex]x=4[/tex]

⇒[tex]2x=4[/tex]×[tex]5[/tex]

⇒[tex]2x=20[/tex]

⇒[tex]x=10[/tex]

Hence, Tyler have to read total 10 pages of his homework.

Learn more about the fraction here:

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Answer:

2*2•5*2•13

Step-by-step explanation:

* = to the power of.

Answer:

Step-by-step explanation:

5200 = 52 * 100

         = 4 * 13 * 10 * 10

        = 2 * 2 * 13 * 2 * 5 * 2 * 5

        = 2⁴ * 5² * 13

Answer:

i am so sorry about it

its difficult

Answer:

0.23

Step-by-step explanation:

Total number enrolled in the study = 460

Number of subjects in treatment group = 230

Number who developed sunburn in treatment group = 30

Number of subjects in placebo = 230

Number who developed sunburn in placebo = 130

Proportion of treatment group who developed sunburn = 30 / 230 = 0.130

Proportion of placebo who developed sunburn = 130 / 230 = 0.565

The relative risk of sunburn in treatment group compared with control group :

Proportion of sunburn in treatment / proportion of sunburn in placebo

0.130 / 0.565 = 0.23

Answer:

A) 12

Step-by-step explanation:

all triangle CBF is similar to triangle GEF by aa similarity.

EF/BF = EG/BC

6/18 = 4/BC

therefore BC must be 12.

Answer:

Step-by-step explanation:

The answer is A for both

Answer:

multiply equation 1by -3 and multiply equation 2 by 1

-3×2x+3y×-3=13×-3

-6x+4y=0

-6x-9y=-39

-6x+4y=0

Step-by-step explanation:

-13y=-39

divide both side by -13

-13y/-13=-39/-13

y=3

put answer of y in equation 1

2x+3y=13

2x+3×3=13

2x+9=13

take like terms of the equation

2x=13-9

2x=4

divide both side by 2

2x/2=4\2

x=2

(x,y)=(2,3)

Answer:

A

Step-by-step explanation:

It's B : 5/9 = 0.555… .

To see why, let x = 0.555… . Then 10x = 5.555…, and

10x - x = 5.555… - 0.555…

9x = 5

x = 5/9

Why the other answers are wrong:

• It's not A because 3/10 = 0.3, while 1/3 = 0.333…

• It's not C because 9/100 = 0.09, while 1/11 = 0.090909… :

x = 0.090909…

100x = 9.090909…

100x - x = 9.090909… - 0.090909…

99x = 9

x = 9/99 = 1/11

• It's not D because 47/99 ≠ 0.475475475… :

x = 0.475475475…

1000x = 475.475475475…

1000x - x = 475.475475475… - 0.475475475…

999x = 475

x = 475/999 ≠ 47/99

Answer: the system has no solution

Step-by-step explanation:

The slope and the y-intercept is different

The area of equiangular triangle with radius 6 inches is 27√3 square inches.

A triangle with three equal interior angles is called equiangular triangle.

In an equiangular triangle, the measure of each of its interior angle is 60 degrees. Since, all the angles are equal therefore all the side will also be equal.

The formula for finding the area of equiangular triangle is

[tex]Area = \frac{\sqrt{3} }{4} a^{2}[/tex]

Where,

a is the side length of the triangle.

Let the side length of the equiangular triangle be a.

According to the given question.

We have a equiangular triangle with a radius 6.

Since, the radius of the equilateral triangle or equiangular triangle is given by

Radius = [tex]\frac{a}{\sqrt{3} }[/tex]

⇒ a = 6√3 inches.

Therefore, the area of equiangualr triangle is given by

[tex]Area = \frac{\sqrt{3} }{4} (6\sqrt{3} )^{2}[/tex]

⇒ [tex]Area = \frac{\sqrt{3} }{4} \times 36 \times 3[/tex]

[tex]\implies Area = 27\sqrt{3}[/tex]  square inches

Hence, the area of equiangular triangle with radius 6 inches is 27√3 square inches.

Find out more information about area of equaingular triangle here:

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Answer:

14.4 units²

Step-by-step explanation:

The ratio of Area of rectangle R to area of rectangle S = square of the length of rectangle R to square of lthe ength of rectangle S

Let the area of rectangle S be represented by x, therefore:

40 : x = 8² : 4.8²

40/x = 64/23.04

Cross multiply

x*64 = 40*23.04

64x = 921.6

x = 921.6/64

x = 14.4

Area of rectangle S = 14.4 units²

Answer:

Step-by-step explanation:

h = 4.2 in

Volume = 3.6  cubic inches

[tex]\frac{1}{3}\pi r^{2}h = 3.6\\\\\frac{1}{3}*3.14*r^{2}*4.2 = 3.6\\\\r^{2}= \frac{3.6*3}{3.14*4.2}\\\\ = 0.81\\r=\sqrt{0.81}\\\\[/tex]

r = 0.9 in

Answer:

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