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.

Answers

Answer 1

Answer: 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.

Step-by-step explanation:

The interpretation of a 95% confidence interval: A person can be 95% confident that the true population parameter lies in it.

Given: 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).

Interpretation: 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.

Correct option: E


Related Questions

Ryan exponential function of the form f(t)= a×b^t to represent the following situation. assume t is in years. an account has an initial investment of $91,000, increasing by 3.76% per year. F(T)=_________​

Answers

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]

Solve the system of equations.
2x + 3y = 13
-6x + 4y = 0
A. (2,3)
B.1/2,4
C. (5, 1)
D. (-2, -3)

Answers

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)

tyler read 2/5 of his homework. he read 4 pages. how many total pages of homework does Tyler have to read? ​

Answers

10 pages of homework.

Tyler have to read total 10 pages of this homework.

What is fraction ?

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.

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Given the system which is true? Thanks in advance!

Answers

Answer: the system has no solution

Step-by-step explanation:

The slope and the y-intercept is different

The dimensions of a rectangular prism are 5 cm, 5 cm, and 2 cm.
Determine the surface area.
OA.
A. 50 cm
B. 25 cm
OC. 60 cm
D. 120 cm
O E. 90 cm

Answers

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

prime factorization of 5,200 using exponents

Answers

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

Erick bought a game for $9.78, a toy for $6.34, and a sandwich for $4.91. If he started with $30, about how much money does he have left

Answers

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

Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.

Part A
Choose the inequality and solution to represent the number of cans, x, that Xander must still collect.
a x + 64 ≤ 120; x ≤ 56
b x + 120 ≤ 64; x ≤ –56
c x + 64 ≥ 120; x ≥ 56
d x + 120 ≥ 64; x ≥ –56

Answers

Answer:

b

Step-by-step explanation:

Find the diameter of the circle with the given circumference. Use 3.14 for π(PI). C=22 cm

Answers

the answer is 7.006
Answer: 14.01274
Explanation: The formula of the diameter of a circle is 2xradius. We only have the Circumference so we divide 22 by pi which is 7.00637. After that we multiply the radius (7.00637) by 2 which gives us 14.01274. If you round it is equal to 14.0

If the principal is $200 and the interest rate is 4 percent, what is the simple interest earned in one year?
А.$8
B.$50
C.$800

Answers

Answer:

A

Step-by-step explanation:

Rectangles R and S are similar. If the area of rectangle R is 40, what is the area of rectangle S?

Answers

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

can you help me please

Answers

9514 1404 393

Answer:

domain: x ∉ {-4, 3}range: y ∉ {1}horizontal asymptote: y=1vertical asymptote: x=3

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 domain is all real numbers except -4 and +3

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

the range is all real numbers except 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.

vertical asymptote at x=3; horizontal asymptote at y=1

_____

* 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.)

Find the (a) mean, (b) variance, and (c) standard deviation of the binomial distribution for the given random variable, and (d) interpret the results. 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. 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. The random variable represents the number of U.S. mothers who choose fast food as a dining option for their families one to three times a week.

Answers

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.

Epidemiologists decided to investigate the effect of sunscreens on sunburns. They ran an epidemiologic study to see the association of sunscreens and sunburns. Overall, 460 people have enrolled in the study. Investigators randomly allocated 230 people to the treatment group (sunscreens) and 230 to the control group (placebo). They exposed those 460 people to the high mountain trail on a sunny day. At the end of the study, 30 people developed sunburns in the sunscreen group and 130 people developed sunburns in the placebo group. What is the relative risk of sunburns in the sunscreen treatment group compared with the control group in this study

Answers

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

Please help. This makes 0 sence also fast because this is a big test I need to pass don’t just guess please?!

Answers

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

Find the area (in square inches) of an equiangular triangle with a radius of length 6 in.

Answers

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

What is equiangular triangle?

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.

What is the formula for finding the area of equiangular triangle?

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.

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solve for bc !.??.?.?.?.

Answers

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.

Can some help me please thx

Answers

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

Rectangle VWXY is dilated by a scale factor of 2/3 to form rectangle V'W'X'Y’. Side VW
measures 21. What is the measure of side V'W'?

Answers

Answer:

y

Step-by-step explanation:

Answer:

V'W' = 14

Steps:

V'W' = VW×2/3

V'W' = 21×2/3

V'W' = 42/3

V'W' = 14

PLEASE HELP ASAP!!! WILL MAKE YOU THE BRAINLYIST!!!!
Assume this dance floor is 20 feet long and 30 feet wide. How many people will fit on this dance floor if you assume each person will dance in a space that is 2 feet wide and 2 feet long?

Answers

15 ppl would fit

Bc if you find the area of the dance floor which is 20 feet times 30 feet it equals 60 feet. Then multiply how much space someone takes which is 2 feet times 2 feet equals 4 feet. Then you divide the area of the dance floor by the number for F space one person takes up which is 60÷4. You would get 15 people

Please help I’ll mark you as brainliest if correct !!

Answers

Y = 250x + 45

He is making 250 an hour, meaning that x would represent the hours worked. The 45 dollars is an initial pay meaning you would simply add that to the equation.

Can someone please help me! i’m confused!

Answers

Answer:

i am so sorry about it

its difficult


Please help meeeeeeeeeeeeeeeee

Answers

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:

.... ..................

Guys please help i dont understand im bad at math

Answers

The first on is B and the second one is C
first one is b and the other is d

3n^2-5n-6=9 help please!

Answers

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:

A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet, what will the actual square footage of the apartment be?​

Answers

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:

In this combined function, the domain is all real numbers for x except?( x-2) / (x+5)

-2
2
-5
5

Answers

-5 because the denominator can’t equal zero

I need help if right I will mark you as brainlest

Answers

Answer:

More than 275 dollars of here budget goes to emergencies

Step-by-step explanation:

11% of 2750 is $302.50

Elizabeth bought snacks for her team's practice. She bought a bag of apples for $3.41
and a 10-pack of juice bottles. The total cost before tax was $13.21. Write and solve an
equation which can be used to determine j, how much each bottle of juice costs?

Answers

Answer:

$9.80

Step-by-step explanation:

$13.21 - $3.41 = $9.80

Answer:$5.49

Step-by-step explanation:

   

Jarrod helped his teachers pack textbooks into boxes for the summer. He packed 6 boxes of science textbooks with 14 books per box. He also packed math textbooks with 12 books per box.

If x represents the total number of boxes he packed, which of the following equations can be used to find the total number of books that Jarrod packed into boxes?
A. y = 84(x - 6) + 12
B. y = 12x + 84
C. y = 84x + 12
D. y = 12(x - 6) + 84

Answers

Answer:

Step-by-step explanation:

Answer:

Biy.com/5698
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