Susan Williams has been the production manager of Medical Suppliers, Inc., for the past 17 years. Medical Suppliers, Inc., is a producer of bandages and arm slings. During the past 5 years, the demand for No-Stick bandages has been fairly constant. On average, sales have been about 87,000 packages of No- Stick. Susan has reason to believe that the distribution of No-Stick follows a normal curve, with a standard deviation of 4,000 packages. What is the probability that sales will be less than 81,000 packages

Answers

Answer 1

Answer:

the probability that sales will be less than 81,000 packages is 0.6681

Step-by-step explanation:

Given that;

Average sales μ = 87,000

standard deviation σ = 4,000

x' = 81,000

P( x < 81,000) = ?

so

P( x < 81,000) = P( x - μ / σ )

we substitute

P( x < 81,000) = P( 81,000 - 87000 / 4000 )

P( x < 81,000) = P(  - 6000 / 4000 ) = -1.5

from table;

P( z < 1.5 ) = 0.6681

Therefore the probability that sales will be less than 81,000 packages is 0.6681


Related Questions

What type of triangle is triangle ABC?
Give your reasons for your answer:

Answers

Answer:

a. Isosceles

b. It has two equal angles

Step-by-step explanation:

✅<DCA = <BAC = 50° (alternate interior angles are congruent)

<ACB = 180 - (<BAC + <ABC) (sum of triangle)

<ACB = 180° - (50° + 80°) (substitution)

<ACB = 50°

✅∆ABC is an isosceles triangle judging from the measure of its three angles. ∆ABC has two equal angles. ∆ABC is therefore an isosceles ∆.

Isabella is making a display board for the school trip. The display board is 2.50m by 2m rectangle. She needs to cover the entire display board with card. How much card would she needs?

Answers

Answer:

5m^2

Step-by-step explanation:

Given data

Length of board= 2.50m

Width of board= 2m

The cover need should have the same area as the board

Area= Length*Width

Area= 2.5*2

Area=5m^2

Hence the area of the cover is 5m^2

In one particular suburb, there are 5 families that own a boxer. If there are a total of
25 families that own a dog in general, then what percentage of dog owners have a boxer?
Round your answer to the nearest whole number if necessary.

Answers

Answer:

60%

Step-by-step explanation:

Explanation:

To get percentages, take the part of a population that is being specified and divided that by the whole population and multiply that value by  

100

%

.

So there are  

30

people that own boxers, this is the specific population that is being compared to the whole dog-owning population, which is comprised of  

50

total families. So

30

50

can be reduced to  

3

5

and that gives us  

.6

When that value is multiplied by  

100

%

, it gives us our percentage of

.6

100

%

=

60

plzzz help I picked A already and it was wrong

Answers

Answer:

probably C I'm terrible at math but that look about right

imma look what dis is

Answers

Answer:

its loading but ill help!

Step-by-step explanation:

I don’t see anything it’s just grey and when you press on it it’s black

Here are the first four terms of a number sequence.
8
14
20
26
Write down the next term of the number sequence and explain how you found your answer

Answers

8,14,20,26

8 to 14 is 6
14 to 20 is 6
20 to 26 is 6


The next term will be 26 + 6 = 32

Because there is a gap of 6 between each number

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

x = 12

Step-by-step explanation:

The area of a rectangle is 2- 3/4 inch. ^2 If the length of the rectangle is 1/2 inch, what is the measurement of the width?

Answers

Answer:

The width of the rectangle = 1.15 inches

Step-by-step explanation:

Explanation:-

Given that the length of the rectangle = [tex]\frac{1}{2} inch[/tex]

The area of the rectangle = [tex]\frac{2.3}{4}[/tex] inch²

We have to find the width of the rectangle

The area of the rectangle = length × width

                                  [tex]\frac{2.3}{4} = \frac{1}{2} X width[/tex]

                    ⇒     2 × 2.3 = 4× width

                   ⇒      4.6 = 4 w

                  ⇒      w = 1.15 inches

Final answer:-

The width of the rectangle = 1.15 inches

A statistician chooses 27 randomly selected dates, and when examining the occupancy records of a particular motel for those dates, finds a variance of 34.34 and a standard deviation of 5.86 rooms rented. If the number of rooms rented is normally distributed, find the 95% confidence interval for the population standard deviation of the number of rooms rented. Interpret your interval in context.

Answers

Answer:

Confidence interval variance [21.297 ; 64.493]

Confidence interval standard deviation;

4.615, 8.031

Step-by-step explanation:

Given :

Variance, s² = 34.34

Standard deviation, s = 5.86

Sample size, n = 27

Degree of freedom, df = 27 - 1 = 26

Using the relation for the confidence interval :

[s²(n - 1) / X²α/2, n-1] ; [s²(n - 1) / X²1-α/2, n-1]

From the chi distribition table :

X²α/2, n-1 = 41.923 ; X²1-α/2, n-1 = 13.844

Hence,

[34.34*26 / 41.923] ; [34.34*26 / 13.844]

[21.297 ; 64.493]

The 95% confidence interval for the population variance is :

21.297 < σ² < 64.493

Standard deviation is the square root of variance, hence,

The 95% confidence interval for the population standard deviation is :

4.615 < σ < 8.031

The population variance of 95% confidence interval is [tex]4.615<\sigma<8.031[/tex] and this can be determined by using the given data.

Given :

Variance = 34.34Standard Deviation = 5.86Sample Size = 2795% confidence interval

First, determine the degree of freedom.

[tex]df = 27-1=26[/tex]

The determine the confidence interval using the below formula:

[tex]\left(\dfrac{s^2(n-1)}{X^2_{\alpha/2,(n-1) }}\right);\left(\dfrac{s^2(n-1)}{X^2_{(1-\alpha)/2,(n-1) }}\right)[/tex]

Now, using the chi distribution the above expression becomes:

[tex]\left(\dfrac{34.34\times 26}{41.923 }}\right);\left(\dfrac{34.34\times 26}{13.844 }}\right)[/tex]

Simplify the above expression.

(21.297 ) ; (64.493)

So, the population variance of 95% confidence interval is:

[tex]\begin{aligned}\\21.297&<\sigma^2<64.493\\4.615&<\sigma<8.031\\\end{alingned}[/tex]

For more information, refer to the link given below:

https://brainly.com/question/7635845

The sales tax for an item was $36.80 and it cost $460 before tax.
Find the sales tax rate. Write your answer as a percentage.

Answers

Answer:

16,928

Step-by-step explanation:

just solve it in calculation so you can see the answer

and remember study hard to go to bts concert joke to your dream

10 MINUTES UNTIL I HAVE TO TURN TEST IN
HELP PLS :)

Answers

Answer:

10) Total Discount = $15 dollars; New Amount = $60 dollars.

11) Total Markup = $3,750 dollars; New Amount = $28,750 dollars.

12a) Percent Increase from $100 to $150: 50% increase.

12b) Percent Decrease from $150 to $100: 33.33% decrease.

Step-by-step explanation:

I would be more than happy to show my work, but I see that you have to submit your test soon, so I will just leave it at this for now. If you need any clarification, I am more than happy to help. Feel free to give me Brainliest if you feel this helped! Have a good day, and good luck on your test. :)

If you invested $250 at 16% interest, how much would you have after 18 years?

Answers

Answer:

4,000

Step-by-step explanation:

Mr. Marlon pays minimum wage to the cashiers in his store. If minimum wage is $7.25 per hour, how much does a cashier make who works 40 hours per week?

Answers

Answer:

$290

Step-by-step explanation:

Because 7.25×40=290

Marine biologists are concerned that pollution from a nearby factory has affected the health of local sea urchins. Which of the following is most likely to be the population of interest?
Choose the correct answer below
A 4 sea urchins with abnormal coloration
B. All of the sea urchins near the plant
C. All of the sea urchins in the entire ocean
D. 20 sea urchins gathered from tidal pools

Answers

Answer:

its C. all of the sea urchin in the entire ovean is the most likely to be the population of interest

The population of interest will most likely be option B. all of the sea urchins near the plant.

The term 'population of interest' refers to the group or number from which inference is made or done for research purposes. And from this group, the researcher will try to draw conclusions from his/her study.

A population of interest is generally taken for studies or statistical references.In the given scenario, the biologists found that the nearby factory is directly affecting the health of the local urchins.And in conducting the research, the population of sea urchins near the plant will be taken or regarded as the population of interest.

For the marine biologists to determine the extent of the factory's effect on the sea urchins, they would consider or take the sea urchins near the factory population as the population of interest. Thus, the correct answer is option B.

Learn more about population of interest here:

brainly.com/question/16976252

A rectangular prism is 12 cm long 6 cm wide and 5 cm high what is the volume of the rectangular

Answers

9514 1404 393

Answer:

  360 cm³

Step-by-step explanation:

The volume is the product of the given dimensions:

  V = LWH

  V = (12 cm)(6 cm)(5 cm) = 360 cm³

Set up an equation and use it to solve for X
(6x + 3)
33°

Answers

9514 1404 393

Answer:

  24

Step-by-step explanation:

The angles of a linear pair are supplementary.

  (6x +3)° +33° = 180°

  6x = 144 . . . . . . . . . . . divide by °, subtract 36

  x = 24 . . . . . . . . divide by 6

-(-10)=?
Please help me with this equation!!

Answers

Answer:

+10

positive 10

:))))))))))

Write 34% as a fraction or mixed number in simplest form

Answers

17/50 = 34% Hope this helped

The city of Gainesville is trying to determine the average price for a gallon of gas. They randomly sampled 28 gas stations and found the sample mean to be $2.58 with a standard deviation of $0.09. Assume that all of the assumptions are met. Calculate a 95% confidence interval for the population mean gas price in Gainesville.

Answers

Answer:

The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 28 - 1 = 27

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0.52

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.052\frac{0.09}{\sqrt{27}} = 0.04[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is $2.58 - $0.04 = $2.54

The upper end of the interval is the sample mean added to M. So it is $2.58 + $0.04 = $2.62.

The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.

can someone show me the problems to 4/3 x 2/5 and 2/5 divided by 4/3

Answers

Answer:

8/15 and 3/10

PLSSS HELP NOW I WILL GIVE BRAINLIEST WHO EVER ANSWERS THIS QUESTION

Answers

I dont have my calculator with me but first find the square root of 6 and it will give u a decimal number and then just plot it

Answer:

√6: 2.44

Step-by-step explanation:

first one since it's closer to the square root of 6

60% of what number is 33?

Answers

60 percent (calculated percentage %) of what number equals 33? Answer: 55.

Answer:

55 :)

Step-by-step explanation:

You have inherited land that was purchased for $65,000 in 2015. The value of the land
increased by approximately 5% per year. What is the approximate value of the land in
the year 2030?

Answers

Answer:

in 2030 the land will aproxmatly be worth $113750

Step-by-step explanation:

every computer that a business owner purchases will lose most of its value after 5 years of use. the owner plans to purchase a computer for $2.100 and replace it after 4 years.

The business owner bought a computer that cost $2,400 instead of $2,100. the owner plans to replace the computer after 3 years instead of 4 years. Comparing both methods, which statement is true about the remaining value of this computer after 3 years of use ?

Answers

Answer:

Step-by-step explanation:

a) Data and Calculations:

Estimated useful life of a computer = 5 years

Cost of a computer purchased = $2,400

Annual depreciation expense = $480 ($2,400/5)

This means that the business owner chooses to spread (expense) the cost of the computer over 5 years at a rate of $480.

After 3 years, the cost already expensed = $1,440 ($480 * 3)

The Remaining value of this computer after 3 years of use will be $960 ($2,400 - $1,440).

b) Depreciation is an accounting method for spreading (or expensing) the cost of a long-term asset over its useful life.

Combine the like terms to create an equivalent expression. \large{7k-k+19}7k−k+19

Answers

A is correct trust promise

Answer:

The simplified expression is 6k+19 .

Step-by-step explanation:

Suppose you have $20 in your bank account. You start saving $5 each week. Your friend has $5 in his account and is saving $10 each
week. Assume that neither you nor your friend makes any withdrawals.
After how many weeks will you and your friend have the same amount of money in your accounts? How much money will each of you
have?

Answers

Answer:

The answer is after 3 weeks you will have the same amount of money

Step-by-step explanation:

5x + 20 = 10x +5

5x - 10x = 5 -20

-5x = -15

x = -15/-5

x = 3

what fraction does each get if six people share one whole pizza​

Answers

Answer:

Does it say how many peices the pizza has? (if not then 1/6 ^^)

Which expression means the same as "25 less that 5y"

Answers

Answer:5y-25

Step-by-step explanation:

Answer:

5y - 25

Step-by-step explanation:

that expression shown 25 less than 5y

hope this helps...

what is the remainder when 849,400 is divided by 216​

Answers

The anserws is 88 so your welcome

Answer:

The remainder is 88

Step-by-step explanation:

The Remainder of a Division

We have to find the remainder when we divide 849,400 by 216.

It could be found by doing the long division, but we'll do it with a calculator.

Entering the division in the calculator we get:

849,400/216=3,932.4074...

We take the whole part of the quotient (3,932) and multiply it by the divisor:

3,932*216=849,312

The remainder is obtained by subtracting 849,400-849,312=88

The remainder is 88

Which point is a solution to the equation 2x - y = 4?

Answers

Answer:

2x=  1 /2 y+ 2

Step-by-step explanation:

Solve for x.

2x−y=4

Add y to both sides.

2x−y+y=4+y

2x=y+4

Divide both sides by 2.

2x /2  =  y+4 /2

x= 1/ 2 y+2

The required point that is the solution to the equation 2x - y = 4 is at (2, -4)

In order to get the solution to the equation, we will need to get its x and y-intercept.

x- intercept is the point where y is zero.

Given the equation 2x - y = 4

If y = 0

2x - 0 = 4

2x = 4

x = 4/2

x = 2

Get the y-intercept

y intercept is the point where x = 0

if x = 0

2(0) - y = 4

-y = 4

y = -4

Hence the y-intercept is -4

The required point that is the solution to the equation is at (2, -4)

Learn more here: https://brainly.com/question/24609929

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