Here are summary statistics for the weights of Pepsi in randomly selected cans: n=36, x=0.82412 lb, s=0.00573 lb.
Use a confidence level of 90% to complete parts (a) through (d) below.
a. Identify the critical value ta/2 used for finding the margin of error.
¹a/2=
(Round to two decimal places as needed.)

Answers

Answer 1

The critical value is given as 1.69

The margin of error is 0.00161

How to solve for the critical value

We are to find the critical value ta/2  used for finding the margin of error

T∝ / 2 = 1 - 0.10 / 2

1 - 0.05 = 0.95

The critical value at the level if we use the critical value table is 1.69

2. Next we would have to solve for the margin of error

When comparing your results to the actual population value, a margin of error indicates how many percentage points they will deviate.

ME= [tex]z * \frac{s}{\sqrt{n} }[/tex]

z is the critical value = 1.69

s = standard deviation = 0.00573

n = sample size

where z = 1.69

s = 0.00573

n = 36

We would have to put these values in the formula above to get the margin of error

[tex]1.69 * \frac{0.00573}{\sqrt{36} }[/tex]

Margin of error = 0.00161

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Related Questions

A grain silo has a cylindrical shape. Its radius is 9.5 ft, and its height is 48 ft. What is the volume of the silo?
Use the value 3.14 for pi, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answers

Step-by-step explanation:

Volume of the silo

= 3.14(9.5^2)(48) sq. ft

=13602.48 sq. ft

=13602 sq. ft (cor. to the nearest integer)

What is the y-intercept of the given function?
f(x) = -(x+2)^3(x-4)

Answers

Answer:

Step-by-step explanation:

The y-intercept is the value of the function when x=0.

f(0) = -(0+2)³(0-4) = -(2³)(-4) = 32

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Answers

-23



the absolute value is its opposite

Answer:

-23

Step-by-step explanation:

Find the area of the circle

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Answer:

49 is the area for the circle

For the function g(x) = 10 VX-2, what is the inverse function?
o pr}(X) = 7+2
O q'(x) = -2
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O 011(x) = (+) --

Answers

Answer:

[tex]g'(x) = \frac{x^2}{100} +2[/tex]

Step-by-step explanation:

Given

[tex]g(x) = 10\sqrt{x - 2[/tex]

Required

Determine the inverse function

[tex]g(x) = 10\sqrt{x - 2[/tex]

Replace g(x) with y

[tex]y = 10\sqrt{x -2[/tex]

Swap the positions of x and y

[tex]x = 10\sqrt{y -2[/tex]

Divide through by 10

[tex]\frac{x}{10} = \sqrt{y - 2[/tex]

Square of both sides

[tex]\frac{x^2}{100} = y - 2[/tex]

Make y the subject

[tex]y = \frac{x^2}{100} +2[/tex]

Replace y with g'(x)

[tex]g'(x) = \frac{x^2}{100} +2[/tex]

Hence, the inverse function is: [tex]g'(x) = \frac{x^2}{100} +2[/tex]

The spinner below is spun twice what is the probability of the arrow landing on a three and then on an odd number

Answers

Answer:

1/3

Step-by-step explanation:

Since there is 3 sections it could land anywhere

Answer:1/3

Step-by-step explanation:

(-
1

2


-1

3

) (-
1

4


-1

5


-1

6
)

Answers

Answer:

1125

Step-by-step explanation:

(-12-13)(-14-15-16)

-25*-45=1125

hope this helps you

Answer:

1125

Step-by-step explanation:

(-12-13) (-14-15-16)= 1125

377?.378f5885246799448855

Answers

Answer:

Wwhatwhatwhatwhatwhat

Step-by-step explanation:

Answer:

What?

Step-by-step explanation:

You must have smacked your keyboard

377?.378f5885246799448855

I'll add a photo of the problem! ​

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Answer:

its d

Step-by-step explanation:

the number 30 is not listed in the problem there that is info that is not there

Fill in values for the table using the function

Answers

Answer/Step-by-step explanation:

Given:

f(x) = -3x + 4

✔️First row, find x when f(x) = 4:

Substitute f(x) = 4 into the equation

4 = -3x + 4

4 - 4 = -3x

0 = -3x

Divide both sides by -3

0/-3 = x

x = 0

✔️ Second row, find f(x) when x = -1:

Substitute x = -1 into the equation

f(-1) = -3(-1) + 4

f(-1) = 3 + 4

f(-1) = 7

✔️ Third row, find f(x) when x = 1:

Substitute x = 1 into the equation

f(1) = -3(1) + 4

f(1) = -3 + 4

f(1) = 1

✔️ Fourth row, find x when f(x) = 9:

Substitute f(x) = 9 into the equation

9 = -3x + 4

9 - 4 = -3x

5 = -3x

Divide both sides by -3

5/-3 = x

x = -⁵/3

PLEASE HELP ME TO SOLVE THIS QUESTION WITH STEP-BY-STEP. THANK YOU!!!​

Answers

Answer:

A) 12 thousand packets a day

B) 384 thousand Sen

Step-by-step explanation:

If the total is 72 thousand a week and the factory only operates 6 days, then you do 72 thousand / 6 to get 12 thousand, the packets made in one day.

To get b, all you have to do is do 32 Sen X 1w thousand to get the value of all the packets of chips

math question plzz help i’ll give you brainliest

Answers

Answer:

C: 3^0 = 1

Step-by-step explanation:

When dividing two exponents with the same bases, you subtract them

2-2 = 0

so: 3^0 which equals 1

For this specific question there's an even easier way

dividing a number by itself is always gives 1 so it has to be C

When solving a quadratic using factoring, does it matter if the first x solution is on the left or right side? And same for the second x? In the answer

Answers

Answer:

it is either way, you can put x on the left side or the right side. Just make sure your signs are correct

Find 64.9% of 77. Round to the nearest tenth.

Answers

The answer would be 64.9% of 77 is 49.973 then when you round it to the nearest tenth it will give you 50

Answer : 50

WILL MAKE BRAINLIEST

write the slope intercept form of the equation of each line

Answers

Answer:

1) D) y = 2x+3

2) B) y = -3/2(x)-5

Step-by-step explanation:

A 12 foot ladder leans against a building. The angle of elevation from the ground to the foot of the ladder is 46°. Find, to the nearest tenth of a foot, how far is the foot of the ladder from the building

Answers

Answer:

8.3 ft

Step-by-step explanation:

Hypotenuse is the longest side

Opposite is the side opposite the angle

Adjacent is the remaining side

Draw the triangle out, and you'll find that the hypotenuse (length of ladder) is 12ft, and that you are looking for the adjacent side (length of the foot of the ladder to the building). Rule out the opposite side (side of building) as it is not needed. The appropriate trigonometric formula is then the [tex]cos(angle) = \frac{adjacent}{hypotenuse}[/tex], rearranged to find the adjacent side is [tex]adjacent = cos(angle)*hypotenuse[/tex]  

substitute the values in and you get cos(46) x 12 = 8.335900446

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Answer:

I cant see the pic

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

The area of a triangle is 36 m2 and the height is 9 m. What is the length of the corresponding base?

Answers

Answer:

base = 8 m

Step-by-step explanation:

base = (2* area) ÷ height    

        [tex]= \frac{2*36}{9}[/tex]

        = 2 * 4

        = 8 m

find the volume of the right triangular prism

Answers

Answer:

7161 km³

Step-by-step explanation:

28²+b²=32.5²

784+b²=1056.25

b²=1056.25-784

b²=272.25

b=√272.25

b=16.5

1/2x28x16.5x31=7161

Find all the missing elements:
B
40°
a
120°
A
8
С
C = [?]° a = [ ] C = [ ]
Enter

Answers

Answer:

a= 10.8 c=4.3

Step-by-step explanation:

Use the law of sines.

a/sin 120=8/sin 40

Which simplifies to: 8*sin (120)/sin (40)

When you put the equation into a calculator, it will answer with 10.77

Therefore, it will be 10.8 if round to the nearest tenth

Using the same concept of the answer to a, the equation will be:

10.8*sin 20/sin 120=4.26

Round to the nearest tenth, and c equals to 4.3

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Answer:

Step-by-step explanation:

8

Complete the equation of this circle :

Answers

Answer:

-2 , 4 , 36

Step-by-step explanation:

[tex](x - -2)^{2} + (y - 4)^{2}[/tex]

[tex](x + 2)^{2} + (y - 4)^{2} =36[/tex]

The equation of the circle with a radius of 6 and center (-3, 4) is (x + 3)² + (y - 4)² = 36.

The equation of a circle with radius r and center (h, k) is given by:

(x - h)² + (y - k)² = r²

Radius (r) = 6

Center (h, k) = (-3, 4)

Plugging these values into the equation, we have:

(x - (-3))² + (y - 4)² = 6²

(x + 3)² + (y - 4)² = 36

Therefore, the equation of the circle with a radius of 6 and center (-3, 4) is (x + 3)² + (y - 4)² = 36.

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Someone please help me!!

Answers

9514 1404 393

Answer:

  4.  b

  5.  a

Step-by-step explanation:

4. The radius is the distance between the center (-6, -8) and the point on the circle (0, 0). The square of that is given by ...

  r^2 = (-6-0)^2 +(-8-0)^2 = 36 +64 = 100

Only one of the offered choices has an r^2 value of 100: Choice B.

__

5. The center and the point are on the same line (y=9), so the radius is the difference of x-coordinates: r = 5-2 = 3. The center is given as (h, k) = (5, 9).

The form of the equation of a circle is ...

  (x -h)^2 +(y -k)^2 = r^2

Filling in the given values, the equation is ...

  (x -5)^2 +(y -9)^2 = 9 . . . . matches choice A

Use the distributive property to write an equivalent expression

2(5b - 1)

A. 25b - 1

B. 10b - 1

C. 10b + 2

D. 10b - 2

Choose The Correct Answer.

Answers

Answer:

D. 10b - 2

Step-by-step explanation:

The 2 distributes to the 5b and the -1. So it's 2*5b + 2*(-1) = 10b - 2

Find the interquartile range of the following data set 3,9,12,4,6,40,25,14,10​

Answers

14.5 is the Interquartile range

To find it you take the 75th Percentile (19.5) and subtract it from the 25th Percentile (5)

19.5-5 = 14.5

add 8 and 17, double the sum, and then subtract three​

Answers

Answer:

Hello There!!

Step-by-step explanation:

The answer is 47 as (18+7)×2-3=47.

hope this helps,have a great day!!

~Pinky~

An expression is defined as a set of numbers, variables, and mathematical operations. The solution for the statement "add 8 and 17, double the sum, and then subtract three​" is 47.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The solution for the statement "add 8 and 17, double the sum, and then subtract three​" can be done as,

2(8+17) - 3

= 47

Hence, The solution for the statement "add 8 and 17, double the sum, and then subtract three​" is 47.

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log 3x^2y fully expanded

Answers

Answer:

6xy

Step-by-step explanation:

Please Help Me...
Find The a9 to each sequence.

an=-2(-5)n-1

an=6(-3)n-1

an=-7 n-1

These are Geometeic Sequences and It's asking for the a9, which I believe is the 9th term for all of them step by step.​

Answers

Answer:

Fore an=-2(-5)n-1

:substitutute 9 in place of "n" in the equation

= -2(-5)9-1

Multiply -2 and -5 to get positive 10

=(10)(9)-1

Multiply 10 and 9 to get 90

=90-1

Subtract 1 from 90

=89 therefore 9th term is 89

Step-by-step explanation:

For

an= 6(-3)n-1

(Follow the above procedure)

=6(-3)9-1

=-18-1

=-19

For

an= -7n-1

(Follow the same procedure as above)

-7(9)-1

=-63-1

=- 64

There are twice as many girls as there are boys in the chess club. If there are 18 girls in the club, how many boys are in the club?
I mark brainliest by today

Answers

9 because twice as many means x times 2; if there are 18 girls, divide by 2 and you get 9. Nine times two is 18. :)

For what value of x is a parallelogram ABCD a rectangle

Answers

Answer:

A)  7

Step-by-step explanation:

x + 5 = 2x - 2

7 + 5 = 2(7) - 2

12 = 12

Answer:

a is your answer

Step-by-step explanation: