A beverage distributor has a facility that bottles beer. Beer bottles are supposed to be filled to 12 oz but there are slight variations. As part of quality control, they randomly sample bottles of beer and measure how many ounces they contain. In the most recent sample, the found an average fill of 12.01 oz with a standard deviation of 0.89. Quantitative Question 2a If one of the bottles of sampled beer was filled to 10.98 oz, what is its associated zscore

Answers

Answer 1

Answer:

Its associated z-score is -1.16.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In the most recent sample, the found an average fill of 12.01 oz with a standard deviation of 0.89.

This means that [tex]\mu = 12.01, \sigma = 0.89[/tex].

If one of the bottles of sampled beer was filled to 10.98 oz, what is its associated zscore

This is Z when X = 10.98. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{10.98 - 12.01}{0.89}[/tex]

[tex]Z = -1.16[/tex]

Its associated z-score is -1.16.


Related Questions

Pat collected 54 cans of food for a food drive. This is 6 times as many cans
as Anne collected. How many cans did Anne collect? Select the correct
solution method below, using x to represent the number of cans Anne
collected

Answers

Answer:

54/6= X

54/6= 9

54 divided by 6 equals X

X = 9

y = -2x + 2 y = 5x + 9​

Answers

X=-1 y=4 hope it helps

Jack's Plumbing charges customers $100 per hour for repair jobs. A-1 Plumbing charges according to
the equation y = 75x + 50, where x = time in hours and y = cost in dollars.
Explain why A-1 Plumbing charges less than Jack's Plumbing for a 4-hour repair job.
Does A-1 Plumbing charge less than Jack's Plumbing for all repair jobs? Explain why or why not.

PLEASE HELPP

Answers

Answer:

37/3

Step-by-step explanation:

what is 250,000 divided by 12

Answers

Answer:

20833.3

Step-by-step explanation:

Answer:

tthe answer is. 20833.3

The population of Buhlerville is 92,000 in 2019. The population of the city was 94880 in 2021. What is the
expected population in 2022?

Answers

Answer:

96320

Step-by-step explanation:

The population of Buhlerville will be 96320

HELP MEEEEEEENJEJAHAHAAUUA

Answers

I think the awnser should be the very first one

i need helppp could you help please pl,s pls pls pls pls pls plks pls pls pls pls pls pls

Answers

Answer:(-4,6)

Step-by-step explanation:

you go down four then over six and you find the letter F

Answer:

(6, -4)

Step-by-step explanation:

x axis is before the y axis

Please help I need by Tomorrow!

Answers

Answer:

[tex]f(a) = 5a + 1[/tex]

[tex]f(a + h) = 5a + 5h +1[/tex]

[tex]\frac{f(a + h) - f(a)}{h} =5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 5x + 1[/tex]

Solving (a): f(a)

Substitute a for x in [tex]f(x) = 5x + 1[/tex]

[tex]f(a) = 5a + 1[/tex]

Solving (b): f(a + h)

Substitute a + h for x in [tex]f(x) = 5x + 1[/tex]

[tex]f(a + h) = 5(a + h) +1[/tex]

Open bracket

[tex]f(a + h) = 5a + 5h +1[/tex]

Solving (c): [tex]\frac{f(a + h) - f(a)}{h}[/tex]

In (a):

[tex]f(a) = 5a + 1[/tex]

In (b):

[tex]f(a + h) = 5a + 5h +1[/tex]

So:

[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a+5h+1 - (5a+1)}{h}[/tex]

Open bracket

[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a+5h+1 - 5a-1}{h}[/tex]

Collect Like Terms

[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a- 5a+5h+1 -1}{h}[/tex]

[tex]\frac{f(a + h) - f(a)}{h} =\frac{5h}{h}[/tex]

[tex]\frac{f(a + h) - f(a)}{h} =5[/tex]

20 points i will mark brainiest


Question 4

(08.03)


Solve the system of equations and choose the correct answer from the list of options.


x − y = 7

y = 3x + 12


Question 4 options:


1)


2 over 19 comma 2 over 33


2)


negative 2 over 19 comma negative 33 over 2


3)


negative 19 over 2 comma negative 33 over 2


4)


19 over 2 comma 33 over 2

Answers

Answer:

x = -9 1/2

y = -16 1/2

Step-by-step explanation:

x - y = 7

solve the above for 'y':  -y = 7 - x

multiple each side by -1:  y = x - 7

now both equations are in 'y=' form

x - 7 = 3x + 12

-2x - 7 = 12

-2x = 19

x = -19/2 or -9 1/2

-9.5 - y = 7

-y = 16.5

y = -16.5 or -16 1/2

                                       

Answer:

(-19/2, -33/2)

Step-by-step explanation:

Select all the expressions that are solutions to 5=2/3x. A. 5 2/3 B. 5 2/3 D. 15/2 E. 10/3

Answers

Answer:

C. 5 divided by 2/3

D. 15/2

E. 3/2 X 5  

hope this helps

Step-by-step explanation:

Use the Consumer Price Index (CPI) value chart in Section 4 of your textbook to answer the following question:

In 2013 the most expensive cocktail (made with 1858 ‘Cuvee Leonie’ cognac) was sold in Australia for $12,000. What would have been the equivalent price just one year later, in 2014?

Round your answer to the nearest penny.

Question 2 Use the Consumer Price Index (CPI) value chart in Section 4 of your textbook to answer the following question:

The greatest payout for a personal injury was recorded at $163,882,660 in 1993. The car wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been the equivalent payout in 1987?

Round your answer to the nearest penny.



HERES THE CPI CHART FOR IT

Answers

Answer:

wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been the equivalent payout in 1987?

Round your answer to the nearest penny.

HERES THE CPI CHART FOR IT

Step-by-step explanation:

with 1858 ‘Cuvee Leonie’ cognac) was sold in Australia for $12,000. What would have been the equivalent price just one year later, in 2014?

Round your answer to the nearest penny.

Question 2 Use the Consumer Price Index (CPI) value chart in Section 4 of your textbook to answer the following question:

The greatest payout for a personal injury was recorded at $163,882,660 in 1993. The car wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been

Solve the equation for all values of x in simplest form:
(x – 3)^2 = 11

Answers

X in the simplest form is 17/2

A directed line segment starts at (1.0) and ends at (4.6), Point R partitions the segment
in the ratio of 2 to 1. What are the coordinates of point R?
(PLEASE HELP ASAP)

Answers

9514 1404 393

Answer:

  (3.4)

Step-by-step explanation:

The length of the given segment is 4.6 -1.0 = 3.6. The first portion of the division will be 2/(2+1) = 2/3 of that length, or (2/3)(3.6) = 2.4.

Then the coordinates of point R are ...

  (1.0) +(2.4) = (3.4)

__

Additional comment

We cannot tell if your coordinates are supposed to be Cartesian coordinates (1, 0) and (4, 6), or if they are points on a number line. As it happens, it makes no difference. The final answer is interpreted the same way the given coordinate points are interpreted: 3.4 on a number line or (3, 4) on a plane.

The volume of this cylinder is 1751 cubic units. What is the volume of a cone that has the same base area and the sam height

Answers

Answer:

[tex]V_2 = 583.67[/tex]

Step-by-step explanation:

Given

Represent the volume of the cylinder with V1 and the cone with V2.

So:

[tex]V_1 = 1751[/tex]

Required

Find V2

The volume of a cylinder is:

[tex]V_1 = \pi r^2h[/tex]

Because the cone and the cylinder have the same base area and height, the volume of the cone is:

[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]

Substitute [tex]V_1[/tex] for [tex]\pi r^2h[/tex].

[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]

[tex]V_2 = \frac{1}{3}V_1[/tex]

Substitute 1751 for V1

[tex]V_2 = \frac{1}{3} * 1751[/tex]

[tex]V_2 = \frac{1* 1751}{3}[/tex]

[tex]V_2 = \frac{1751}{3}[/tex]

[tex]V_2 = 583.67[/tex]

The volume of the cone is 583.67 cubic units

HELPPSKEJSSJS THANKSSSS

Answers

Answer:

-7

Step-by-step explanation:

1,2,3,5
_ _ _ _
6,7,4,8
Which of the following is NOT the numerator
of a fraction listed above?
(A) 2
(B) 3
(C) 4
(D) 5

Answers

4 is not a numerator up there I believeee
I think it’s 4. Don’t mind me I’m just trying to get 30 words

5. What is the second step in proving by mathematical induction that for every positive integer n, 11" - 6 is divisible by
5, is true?
Let n = k. Then assume that 11" - 6 is divisible by 5.
Let n = 1. Then assume that 111 - 6 is divisible by 5.
Let n = k. Then assume that 11k+1 – 6 is divisible by 5.
O Let n = (k + 1). Then assume that 11k - 6 is divisible by 5.

NEED THIS ASAP
NEED A EXAM DONE WILL PAY

Answers

Answer:

The correct answer is A:Let n = k. Then assume that 11" - 6 is divisible by 5. sorry if im wrong but if correct pls mark brainliest

Answer:

Step-by-step explanation:

Premise:  If n is a positive integer, then 11ⁿ-6 is divisible by 5.

Let n=1.

11¹-6 = 5, so the premise is true for n=1.

Suppose the premise is true when n is an integer greater than 1,

then 11ⁿ-6 is divisible by 5.

11ⁿ⁺¹-6 = 11·11ⁿ - 6

   = (10+1)11ⁿ - 6

   = (10·11ⁿ) + (1·11ⁿ) - 6

   = (10·11ⁿ) + (11ⁿ - 6)

Both terms are divisible by 5, so 11ⁿ⁺¹-6 is divisible by 5. Therefore, the premise holds true for n+1.

Proof by induction.

Consider the function.
3
f(x) = -X + 12
4
What is the y-intercept of f'(x)?
-16
ООО
- 12
3
4

Answers

Answer:

A. -16

Step-by-step explanation:

Note that [tex]f^{-1}(x)[/tex] stands for the inverse of [tex]f(x)[/tex]. We can write the graph as [tex]y=\frac{3}{4}x+12[/tex]. Switching [tex]y[/tex] with [tex]x[/tex] and vice versa will now get us the inverse of the graph, so we see that the inverse is [tex]x=\frac{3}{4}y+12[/tex].

We are asked for the y-intercept, which is the point for which [tex]x=0[/tex]. Substituting that gives [tex]0=\frac{3}{4}y + 12[/tex] or [tex]\frac{3}{4}y = -12[/tex], so [tex]y=-12\cdot \frac{4}{3} = -16.[/tex] We are now done.

On her math exam, Alicia answered 25 questions correctly and 5 questions incorrectly. Which of the following represents the ratio of the total number of questions to incorrect answers?
Select the four correct choices below.
30:5
30/5
5 to 25
5/25
6:1
6/1

Answers

Answer: 30:5 & 6:1

Step-by-step explanation:

30/5 = 6

5/5 = 1

URGENT Erin is taking part in a play at the community theater. The cast and crew ordered T-shirts for all the volunteers. The cost of a T-shirt is $8, and the total delivery charge is $45 per order. If the center has no more than $325 to buy T-shirts, how many T-shirts can they buy?

Answers

B is the correct answer. Less than or equal to 35 t shirts orders.

$325 - $45 delivery charge for ALL orders, = $280.
$280 divided by $8 per order is 35 t shirts.

Answer:

B is the correct answer. Less than or equal to 35 t shirts orders.

Step-by-step explanation:

what is 13x25+3÷
15 please help im bad at math​

Answers

Answer:

325.2

Step-by-step explanation:

Please answer 1 and 2 soon

Answers

Answer:

1.36+3+(32)(2)

=57

error is that 6 is the wrong answer

Factor 4x+16y using the gcf

Answers

The answer is 2(2x+8y)
2 x 2x=4x
2 x 8y=16y

what is the answer I need it urgently ​

Answers

it’s is 0.............

5 2/3 divided by 3/2

Answers

Answer:

(5 2/3)/(3/2)

17/2×2/3

17/3

or

5 2/3

PLEASE HELP WILL GIVE BRAINLIEST

Segment AB has been dilated about point Q. What is the scale factor?​

Answers

The scale factor would be 1.25 because each segment is the same in this triangle

5.2÷____= 0.052 please help meh :(

Answers

Answer:

The answer is 0.01 because 0.052=520   0.052 divided by 5.2=0.01

Step-by-step explanation:

The ratio of boys to girls is 5 to 7 there are 45 boys in the school play how many girls are in the play

Answers

Answer:

63 girls.

Step-by-step explanation:

45 boys divided by 5= 9

9x7= 63 girls


In a class of 30 students, 13 of them are boys.
What percentage of the class are girls?
Give your answer to 1 decimal place.

Answers

Answer:

56.7%

Step-by-step explanation:

30-13=17

(on a scientific calculator) 17/30=

0.56666667 x 100= 56.7 (round it up)

you can use this method everytime when trying to find a percantge.

Ashley rode her bicycle 29.4 miles in 4 hours. She rode the same number of miles each hour. How many miles did ride her bike in 1 hour?

Answers

7. 35
Miles per hour
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