The Customer Service Center in a large New York department store has determined that the amount of time spent with a customer about a complaint is normally distributed, with a mean of 10.1 minutes and a standard deviation of 2.8 minutes. What is the probability that for a randomly chosen customer with a complaint, the amount of time spent resolving the complaint will be as follows. (Round your answers to four decimal places.)(a) less than 10 minutes (b) longer than 5 minutes (c) between 8 and 15 minutes

Answers

Answer 1

Answer:

0.6395 ; 0.9657 ; 0.7333

Step-by-step explanation:

Given that:

Mean (m) = 10.1

Standard deviation (s) = 2.8

Obtain the following probabilities :

a) less than 10 minutes

P(x < 10)

Z = (x - m) / s

Z = (10 - 10.1) / 2.8

Z = 0.1 / 2.8

Z = 0.0357142

P(Z < 0.357) = 0.6395 ( Z probability calculator)

(b) longer than 5 minutes

P(x > 5)

Z = (x - m) / s

Z = (5 - 10.1) / 2.8

Z = −1.821428

P(Z < - 1.821) = 0.9657 ( Z probability calculator)

(c) between 8 and 15 minutes

P(8 < x < 15)

P(x < 8)

Z = (x - m) / s

Z = (8 - 10.1) / 2.8

Z = − 0.75

P(Z < - 0.75) = 0.22663 ( Z probability calculator)

P(x < 15)

Z = (x - m) / s

Z = (15 - 10.1) / 2.8

Z = 1.75

P(Z < 1.75) = 0.95994 ( Z probability calculator)

P(Z < 1.75) - P(Z < - 0.75)

0.95994 - 0.22663 = 0.7333


Related Questions

Hi guys how are you I am new to brainly I really need help please don’t wanna fail please help

Consider the equation 2(3x + 4) = ax + b
Part 1
Find one value for a and one value for b so that the equation has infinitely many solutions.

For the value of a you determined above what is the value for b so that the equation has infinitely many solutions

Support your answer. Explain your reasoning

Part 2
Find one value for a and one value for b so that the equation has no solution.

Find the value of a you determined above what is the value for b so that the equation has no solution.

Support your answer explain your reasoning.

Answers

Answer:

Let's solve for a.

2(3x+4)=ax+b

Step 1: Flip the equation.

ax+b=6x+8

Step 2: Add -b to both sides.

ax+b+−b=6x+8+−b

ax=−b+6x+8

Step 3: Divide both sides by x.

ax

x

=

−b+6x+8

x

a=

−b+6x+8

x

Step-by-step explanation:

Sin(0)= cos(6) what is the value of 0?

Answers

We need to find Ο for : sin(Ο)= cos(6)

We know that:

cos θ =sin (90 - θ), so if we call θ = 6 then O will be:

O = 90 - θ

O = 90 - 6

O = 84

The value of 0 is 84.

Given that,

Sin(0)= cos(6).

Based on the above information, the calculation is as follows:

cos θ =sin (90 - θ),

So in the case when θ = 6

So, O will be

O = 90 - θ

O = 90 - 6

O = 84

Learn more: brainly.com/question/17429689

(4 points) A tank initially contains 50 gallons of brine, with 30 pounds of salt in solution. Water runs into the tank at 6 gallons per minute and the well-stirred solution runs out at 5 gallons per minute. How long will it be until there are 25 pounds of salt in the tank

Answers

you look like a dung beetle rolling up a hunk a sh^t

In the context of a hypothesis test for two proportions, which of the following statements about the pooled sample proportion, , is/are true? I. It estimates the common value of p1 and p2 under the assumption of equal proportions. II. It is obtained by averaging the two sample proportions 1 and 2. III. It is equal to the proportion of successes in both samples combined.

Answers

Answer:

The statements that are true about a hypothesis test for two proportions are:

I. It estimates the common value of p1 and p2 under the assumption of equal proportions.

II. It is obtained by averaging the two sample proportions 1 and 2.

Step-by-step explanation:

We use the two sample proportion z-test to determine whether the proportions of the two groups differ. This test calculates the range of values that is likely to include the differences between the sample proportions of p1 and p2.

A bouquet of flowers contains 46 flowers and half of them are roses. How many of the flowers are not roses? *
can someboby plz help

Answers

Answer:

23

Step-by-step explanation:


What is the value of y in the solution to this system of equations?
4x - 2y = 14
3x + y = 3
Ay = 3
By=-2
C y = 2
Dy=-3

Answers

Answer:not clear

Step-by-step explanation:

Sale
65% OFF!
What is the sale price of a grandfather clock originally priced at $120?

Answers

Answer:

the sale price is 42

Step-by-step explanation:

120-65% = 42

Multiply. (2.1 X 10/2) X (3.5 X 10/5)

Answers

we first solve each bracket

we can write 2.1 as 21/10 and 3.5 as 35/10

(21/10x10/2)x(35/10x10/5)

the 10's simplify

21/2x35/5=21/2x7=147/2=73.5

X^2 + 1/2x + _ =2 + _

Answers

The blanks should be 0

Answer:

0.5x  x (2x+1)

Step-by-step explanation:

What is 6 pounds equal to in ounces?

Answers

Answer:

96

Step-by-step explanation:

jdjejrjjrirjrjttig

Answer: 96 ounces

Step-by-step explanation:

1 pound = 16 ounces

1 x 6 = 6 pounds

16 x 6 = 96 ounces

So in conclusion, 6 pounds = 96 ounces.

Hope this helps!

What’s the measure for x

Answers

The answer is 35 degree
The answer for your question is 35 degrees!

SOMEONE PLEASE HELP NOW ILL GIVE YOU A EAST 11 POINTS


What is the value of the expression 2106÷162?

Answers

Answer:

Hi

it will be 13

Order the following expressions by their values from least to greatest.

PLEASE ANSWER NOW FOR TESTT!!!

Answers

Answer:

l , k , j

Step-by-step explanation:

j is near to 1 so, j has greatest value

k has second great value

l has negative value

So,

l has least value also negative value.

6
The formula for the volume of a cylinder is as follows, where V is the volume of the cylinder, r is the radius of the base, and l is the length of the cylinder.

V=\pi r^2lV=πr
2
l

Solve for l in terms of V and r then find the length of a cylinder that has a volume of 1256 cubic inches and whose base has a radius of 7 inches. Round your answer to the nearest tenth of an inch; use 3.14 for π.

Answers

Answer:

8.2 in

Step-by-step explanation:

Volume formula:

V = πr²l

Solving for l:

l = V/(πr²)

Length of the given cylinder:

l = 1256/(π7²) = 1256/(3.14*49) = 8.2 in rounded

8.2 in is the correct answer to the question

6

The formula for the volume of a cylinder is as follows, where V is the volume of the cylinder, r is the radius of the base, and l is the length of the cylinder.

V=\pi r^2lV=πr

2

Complete the congruence statement by naming the corresponding angle or side.
50 Points

Answers

Step-by-step explanation:

Triangles WXY and RPY are congruent.

Since letters X and P are both the 2nd letter in their respective triangles, angle X = angle P (A).

Estimate the sum.

10 1/9 + 5 14/15

Answers

The answer is 16 6/135

what is the sum of the fractions?
3/8+1/6

Answers

Answer: It would be 13/24










What is the major difference between mutual funds and certificates of deposit? How are mutual funds and certificates of deposit alike? What is the major difference in bonds and treasury notes, and which would you prefer as an investor? How are bonds, treasury notes, mutual funds alike?

Answers

Answer:

Mutual funds differ from CDs in a multitude of ways. Mutual funds are diversified portfolios of stocks and bonds managed by a financial advisor or broker. They typically offer substantially higher returns than CDs, and while they are riskier than CDs, they are not considered high risk investments.

A researcher comparing the means of dependent samples consisting of 30 matched pairs and obtained a mean difference of 5 and a standard error of the mean difference of 2. The confidence interval for the mean difference was (1.6, 8.4). What confidence level was used in constructing the interval

Answers

Answer:

91.08%

Step-by-step explanation:

Confidence interval = (1.6, 8.4)

Sample size (n) = 30

Standard Error (E) = 2

Mean (m) = 5

The confidence interval is obtained using the relation :

Mean ± Zcritical * standard error

5 ± Zcritical * 2

5 - (Zcritical * 2) = 1.6

5 - 2Zcritical = 1.6

5 - 1.6 = 2Zcritical

3.4 = 2Zcritical

Zcritical = 3.4 / 2

Zcritical = 1.7

From Z probability calculator

P(Z < 1.7) = 0.044565

α = 1 - (0.044565 * 2) = 0.91087

0.91087 * 100% = 91.08% = 91%

Hence, confidence level = 91.08%

A restaurant sells coffee refill mugs for $5.75. Each refills
costs $1.50. Last month James spent $24.50 on mug and refill
Write an equation you can find the number of refills James bought.
Let, r, represent the number of refills.

Answers

12.5 refills
See work in attached picture

Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7?

Answers

Answer:

no

Step-by-step explanation:

here, f (x)=x^3 - 4x^2 + 3x + 7

when, factor is (x + 5)

x - a =x + 5

a = -5

Reminder= f (a)

= (-5)^3 - 4 (-5)^2 + 3×(-5) + 7

= -233

Since Reminder = -233 which is not 0 .

(x + 5) is not a factor of f (x)=x3-4x2+3x+7

2 3/8 x 1/2 PLEASE ILL GIVE BRAINLIEST

Answers

Answer:

1 3/16

Step-by-step explanation:

Answer:

1.1875 or 1 3/16

Step-by-step explanation:

you just put it into a calculator

Jonas earns tips serving customers in a restaurant. He uses a certain method to correctly determine a tip of 20% of the cost of a meal. If c is the cost of a meal, which of the following can be the method Jonas uses?
A.
Move the decimal point two places to the right, and then double that amount.
B.
Move the decimal point one place to the right, and then double that amount.
C.
Move the decimal point two places to the left, and then double that amount.
D.
Move the decimal point one place to the left, and then double that amount.

Answers

Answer:

b

Step-by-step explanation:

1. Is an arithmetic sequence a function?
Sometimes, it depends on the arithmetic sequence.
Yes, always.
Not enough information is given.
No, never

Answers

Yes, always.

A sequence is a function that takens a positive integer and maps it some other number. For any integer you plug into the sequence, you only ever get one output.

Which is the correct answer?

A. Function f is both even and odd

B. Function F is odd


C. Function f is neither even or odd


D. Function f is even




(Please explain your answer)​

Answers

Answer:

B. Function F is odd

Step-by-step explanation:

If a function is odd, then -f(x) = f(-x), for all values of x.

For such function an origin symmetry is obtained just like the image uploaded.

Also, for such function, there is an equal distance between f(x) and f(-x), just like the image uploaded (d₁ = d₂).

Thus, the correct option is "B"

Are the ordered pairs below an arithmetic sequence or geometric
sequence?
(1,55)
(2, 45)
(3, 35)
(4, 25)

Answers

Answer:

the answer is (2, 45) geometric

Samuel rode his bicycle down the street. The distance he traveled in time was recorded. What equation best represents the data in the table?

y = -5x + 10
y = 5x
y = 5x + 10
y = -5x

Answers

Answer:

Step-by-step explanation:

Y=5x

Answer:

2nd one

Step-by-step explanation:

Help me please thank you so much if you did

Answers

Answer:

I just answed this question today!Your asnwer is 144.

Step-by-step explanation:

1:5:3

48 total.

Divide 48 and get 16

Multiply 16 x1

Multiply 16 x5

Multiply 16x 3

16:80:48

Please give the person above brainlest, and I hope you have a great day! Happy holidays!

(-8x + 2) + (-5x + 7)

Answers

Answer:

Step-by-step explanation:

(-8x + 2) + (-5x + 7)

-8x + 2 - 5x + 7

- 13x + 9

Question
You flip a coin 10 times and get heads 6 times. Based on this experiment, what is the probability of flipping a coin and
getting heads?
Select the correct answer below:
FEEDBACK
Content attribution
MORE INSTRUCTION
SUBMIT

Answers

you have 10 tries. you got heads 6 times. the probability is 6/10. if you put this fraction into your calculator, or you divide 6 and 10, you’ll get .6 or .60. changing it into a percent would be 60 percent. Just check what your assignment calls for. if it says a fraction or proportion then use 6/10. if it wants a percentage use 60%.
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