A company's cereal boxes advertise that 9.65 ounces of cereal are contained in each box. In fact, the amount of cereal in a randomly selected box follows a normal distribution with mean LaTeX: \muμ = 9.70 ounces and standard deviation LaTeX: \sigmaσ = 0.03 ounces. A quality control worker selects a random sample of 5 cereal boxes. What is the standard deviation LaTeX: \sigma_{\frac{ }{x}}σ x(in ounces) of this sampling distribution?

Answers

Answer 1

Answer:

The standard deviation of the sampling distribution    σₓ = 0.013

Step-by-step explanation:

Explanation:-

Mean of the Population  μ = 9.70 ounces

Standard deviation of the Population σ = 0.03 ounces

Given size of random sample 'n' =5

The standard deviation of the sampling distribution

               σₓ = σ/√n

            [tex]S.D = \frac{0.03}{\sqrt{5} } = 0.013[/tex]

         


Related Questions

y = x - 2
-2x + 3y = -1
What is x and y?

Answers

Answer:

(5, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

y = x - 2

-2x + 3y = -1

Step 2: Solve for x

Substitute in y:                    -2x + 3(x - 2) = -1Distribute 3:                         -2x + 3x - 6 = -1Combine like terms:            x - 6 = -1Isolate x:                               x = 5

Step 3: Solve for y

Define equation:                    y = x - 2Substitute in x:                       y = 5 - 2Subtract:                                 y = 3

15 POINT QUESTION; I REALLY NEED HELP

A dietician gathered data about the amounts of flour, baking powder, and butter used for several different muffin recipes. She used a graphing tool to organize the data in different scatter plots and found the following lines of best fit:

The relationship between the baking powder used, x, and the flour used, y, is modeled by the equation y = 0.13x + 0.92, and the correlation coefficient for the data is 0.953.
The relationship between the baking powder used, x, and the butter used, y, is modeled by the equation y = 0.24x + 0.76, and the correlation coefficient for the data is 0.802.
The relationship between the flour used, x, and the butter used, y, is modeled by the equation y = 0.86x + 0.52, and the correlation coefficient for the data is 0.693. Which line of best fit can the dietician expect to produce the most reliable predictions?

A. the line modeling the baking powder and the butter used
B. the line modeling the baking powder and the flour used
C. the line modeling the flour and the butter used
D. All three lines will give equally reliable predictions.

Answers

Answer:

the line modeling the baking powder and the flour used

Step-by-step explanation:

plato master test

On comparing the pairwise R - squared value between the three variables, we find that the line modeling the baking powder and the flour used can be expected to produce the most reliable predictions.

What is R - squared value ?

R-Squared value is a quantifiable analysis of how well the line of best fit (linear regression model) fits your data. A value closer to 1 (100%) is usually good.

The coefficient of determination - R - squared value is square of the correlation coefficient.

R - squared value  of the relationship between baking powder and flour used =  0.953² = 0.908

R - squared value  of the relationship between baking powder and butter used =  0.802² = 0.643

R - squared value of the relationship between flour and butter used =  0.693² = 0.48

Since, on comparing the R - squared values of the three relationships, we find that the R - squared value of the relationship between baking powder and flour used is largest. Thus, line of best fit between baking powder and flour is expected to produce the most reliable predictions.

Learn more about R - squared value here

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Find the coordinates of the point where y-4x=1 crosses the y axis

Answers

Answer:

(a) (-1/4,0)

(b) k = (10-c)/2

Step-by-step explanation:

(a) A point passing through the y-axis is the same as finding the y-intercept.

[Move terms to right-hand side; y = mx + b form]

y = 4x + 1

[Find x, when y = 0]

0 = 4x + 1

-1 = 4x

-1/4 = x

At x = -1/4, y = 0 therefore the point: (-1/4,0) crosses the y-axis.

(b) To find the value of k in (k,10), we need to find x. Given y= 10 x=k c=constant

[Find x by plugging in known values]

Using y = 2x + c,

10 = 2k + c

10 - c = 2k

(10-c)/2 = k

Answer:

first one is -1,0

Step-by-step explanation:

i just did it

Please help




Thank you

Answers

Answer:

[tex]C)2\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{24}\\=\sqrt{2*2*2*3} \\=\sqrt{4*6}\\=2\sqrt{6}[/tex]

Gabby measures out 5 1/2 pounds of almonds at the grocery store bulk section. At the check out total cost came up to $20.90 What is the price per pound?

Answers

Answer:

$3.80/pound

Step-by-step explanation:

We can just divide the price by the amount to find the price per pound.

20.90 ÷ 5.5 = 3.80

Hope this helps!

How many kilograms are in 44 pounds

Answers

Answer:

19.9581kg

Step-by-step explanation:

Hmm almost equal to 20kg

You spend $30.40 on 4 CDs. Each CD costs the same amount and is on sale for 80% of the original price. a. Write and solve an equation to find how much you spend on each CD. Let p represent the price you pay for each CD. Equation: =30.40 You spent $ on each CD. Question 2 b. The next day, the CDs are no longer one sale. You have $25. Will you be able to buy 3 more CDs? No, you will not be able to buy 3 more CDs. Question 3 c. Explain your reasoning for part (b). Each CD costs $ at the regular price, so 3 CDs would cost $ .

Answers

Answer:

$7.6 ;

No, you will not be able to buy 3 more CDs

$9.5

$28.5

Step-by-step explanation:

Given that :

Cost of 4 CDs = $30.40

Cost per CD is equal

Sale price = 80% of original price

Price p per CD:

Cost of 4 CDs / number of CDs

$30.40 / 4

= $7.6

2)

No, you will not be able to buy 3 more CDs

If x = original price

80% of x = 7.6

0.8x = 7.6

x = 7.6 / 0.8

x = $9.5

$9.5 * 3 =$28. 5

Hence, $25 can't buy 3 CDs the next day (28.5 > $25)

Which of the ordered pairs are functions
(Hint: there are more than one?)
15 POINTS
OR BRAINLIST ???

Answers

Answer:

c

Step-by-step explanation:

Dan mixed 2 parts of milk and 3 parts of syrup to make a drink. How many parts of milk did Dan mix with each part of syrup? (1 point) Group of answer choices A two over five B two over three C three over five D three over two

Answers

Answer:

B

Step-by-step explanation:

2 parts of milk is mixed with 3 parts of syrup

This implies 2/3 parts of milk is mixed with 1 part of syrup.

Solve for x.

x + 47 = -23
x =

Answers

Answer:

x = -70

Step-by-step explanation:

x+47=−23

Subtract 47 from both sides.

x+47−47=−23−47

x = −70

Answer:

x=-70

Step-by-step explanation:

x +47= -23

  -47   -47

x= -70

the product of d and 4

Answers

Answer: 4d

Step-by-step explanation:

Product means multiplication, so the product of d and 4 means d times 4.


I need help pronto please it’s due in 15 minutes

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes, she is rightYes, she will have  $1.65 left

Step-by-step explanation:

2)

"4 friends had a lunch together [...] $33.40"

"They share the bill equality" = 33.40 ÷ 4

Everyone must pay = $8.35

Money left = $10 - $8.35

Money left = $1.65

Find the next term of the given sequence. 1.31, 2.54, 3.77, ...
4.90
5.00
5.10

Answers

The answer would be: 5.00
It’s adding by 1.23

Answer:

5.00

Step-by-step explanation:

a necklace contains 36 gram of gold 72% of the mass of necklace is gold what is the mass of the necklace

Answers

Answer:

50 grams

Step-by-step explanation:

36 grams = 72%

→ Find 1% by dividing both sides by 72

0.5 grams = 1%

→ Times both sides by 100 to find 100%

50 grams = 100%

Step-by-step explanation:

Multiply 32 by 72 to get thw mass.

write as a product: a-b+a^2-B^2

Answers

Answer: (a - b)(a + b + 1)

a - b + a² - b²

= (a - b) + (a - b)(a + b)

= (a - b)(a + b + 1)

Step-by-step explanation:

Emma is 10 years old. she asked her father how old he is. her father answered, "when you are my age I will be 70." how old is Emma's father.

Answers

Answer:

40

Step-by-step explanation:

Emma age: yE = 10 + x   (x is timeline)

Father age: yF = A + x (x is timeline, A is Father age today)

in time x1: Emma will be A years old, and Father will be 70 years old.

yE (x1) = 10 + x1 = A

yF (x1) = A + x1 = 70

System of equations with unknown values: x1 and A.

substract equation 1 - equation 2:

10 - A = A - 70 ⇒ 80 = 2A ⇒ A = 40

So, father is 40 years old now

Emma's father is 40 years old

Let the age of Emma father be y

Age of emma = 10 years

In x years time;

Emma age will be 10 + xFathers age will be y + x

If in x1 years time, Emma will be y years old and his father will be 70 years old

Emma age: yE = 10 + x   (x is timeline)

Emma's current age will be 10 + x = yHis father;s current age will be y + x = 70

Solving both equations simultaneously;

10 - y = y - 70

10+70 = y + y

80 = 2y

2y = 80

y = 80/2

y = 40 years

Hence Emma's father is 40 years old

Learn more on simultaneous equations here: https://brainly.com/question/16863577

If u answer all the questions i will give u ez questions with a lot of points

Answers

Answer:

honestly I can not see it

Step-by-step explanation:

Geometry question plz help me ?

Answers

i believe the answer is Y= -1x + 9 :)

(its part b to question 9 ) If there are 15 students who don't wear glasses how many students are there in class?​ PLZ HELP WILL GIVE BRANLIST​

Answers

Answer:

there are 25 students in the class and 15 who wear glasses.

Answer:

spaciously 09773616266

slope is 2 and (−1, 6) is on the line; point-slope form

Answers

Answer:

y-6=2(x-(-1))

Or simplified:

y-6=2(x+1)

Step-by-step explanation:

use the formula: y-y1=m(x-x1)

PLS PLS PLS ANSWER ASAP FOR BRAINLIEST


There are 4 cookies and 12 cupcakes leftover at a bake sale. What is the ratio of cookies to cupcake? Your answer must be in simplest form.


PLS ANSWER ASAP

Answers

Answer:

1:3

Step-by-step explanation:

4/12 simplified is 1/3

for every one cookie leftover, there are 3 cupcakes leftover

xoxo, your highness...

A salesman receives a weekly salary of $150. He
also receives $4 for each tire he sells. One week, he
earned $330. How many tires did he sell that week?

Answers

Answer:

150 + 4x = 330

4x = 180

x = 45

Step-by-step explanation:

Find the quadratic equation 3 and-5​

Answers

Answer:

x^2 + 2x - 15 = 0.

Step-by-step explanation:

If you mean the equation with zeroes of 3 and -5 it is:

(x - 3)(x + 5) = 0

x^2 + 2x - 15 = 0.

Julie is about to ride a straight water slide. The length of the water slide itself is 20 meters. The splash pool at the end of the slide is 16 meters away from the base of the tower that leads up to the launching platform. How high is the launching platform?

Answers

Answer:

The launching platform height is 12 meters.

Step-by-step explanation:

Which subsets does 65/13 belong? Move the appropriate subsets into this box.

Answers

Rational number as fraction
65/13 could also be an integer.

65/13 = 5, 5 could be everything besides irrational number

So what do you think?


Tarin received a raise of $80 per week. If he was making $500 per week before the raise, what was the percent change in his earnings?
Increase or decrease? increase
amount of change = 80
original amount = 500
percent
Final result =

Answers

16%

Step-by-step explanation:

500/100 = 1% = 5

80 / 5 = 16

In ΔUVW, u = 44 inches, ∠W=56° and ∠U=117°. Find the length of v, to the nearest inch.

Answers

Answer:

The length of v is 6 inches

Step-by-step explanation:

Here, we want to calculate the length of v to the nearest inch

The best way to go about this is to use the sine rule

But before we proceed, we need the measure of angle V

Mathematically, since we have a triangle

W + U + V = 180

This is the sum of angles in a triangle

56 + 117 + V = 180

V = 180-56-117

V = 7 degrees

so we proceed to use sine rule to get the length of v

Mathematically;

v/Sin V = u/Sin U

Thus;

v/sin 7 = 44/sin 117

v = 44sin 7/sin 117

v = 6.018

This is approximately 6 inches

Answer:

6

Step-by-step explanation:

Three more than a number times six is fifteen

Answers

Answer:

3 + 2=5

5 x 6 = 15?

Step-by-step explanation:

HELP FAST PLZ
Cha deposits $200 into an account that pays simple interest at a rate of 6% per year. Huch interest will he be paid in
the 3 years

Answers

Answer:

$236 in 3 years

Step-by-step explanation:

he would be paid $236 for the 3years

Find the circumference and the area of a circle with radius 7ft .
Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers.

Answers

Answer:

C=43.96 ft.

A=153.86 ft.^2

Step-by-step explanation:

for circumference, use C=2πr

for area, use A=π[tex]r^{2}[/tex]

The circumference and the area of a circle with radius 7 feet are 43.96 feet and 153.86 square feet, respectively.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

And the general formula of the circle,

(x – h)²+ (y - k)² = r²,

where (h, k) is the center and r is the radius of the circle.

Given:

A circle with radius 7 feet.

Then the circumference of the circle,

= 2πr

= 2(3.14)(7)

= 43.96 feet.

The area of the circle,

= πr²

= (3.14) (49)

= 153.86 square feet.

Therefore, circumference is 43.96 feet and area is 153.86 square feet.

To learn more about the circle;

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