The director of a customer service center wants to estimate the mean number of customer calls the center handles each day, so he randomly samples 29 different days and records the number of calls each day. The sample yields a mean of 279.4 calls with a standard deviation of 25.1 calls per day. He can be 99% confident that the mean number of calls per day is between 266.5 and ________. (Round your answer to 1 decimal place.)

Answers

Answer 1

Answer:

He can be 99% confident that the mean number of calls per day is between 266.5 and 292.3.

Step-by-step explanation:

Confidence interval:

A confidence interval is symmetric, which means that the difference between the sample mean and the lower bound is the same as the difference between the upper bound and the sample mean.

In this question:

Sample mean: 279.4 calls

Lower bound: 266.5 calls

Upper bound: x calls

Due to the symmetry of the confidence interval:

[tex]x - 279.4 = 279.4 - 266.5[/tex]

[tex]x = 12.9 + 279.4[/tex]

[tex]x = 292.3[/tex]

So

He can be 99% confident that the mean number of calls per day is between 266.5 and 292.3.


Related Questions


Write the expression as a single logarithm. Then simplify if possible.
log 6 - log 3 + 2 log 7
log 56
log 78
log 45
log 98

Answers

Answer:log 98

Step-by-step explanation:

1. Which of the following values are greater than 20? Select ALL correct answers.
(3 Points)
81-43
52 +3
2 - 10
32 +42

Answers

Answer:81-43, 52+3, 32+42

Step-by-step explanation:Just do simple addition .

Miles : 3/5
Hours : 1/3
_____ miles in 1 hour

Answers

Answer:

9/5 miles in 1 hour

Step-by-step explanation:

As we are finding here the miles distance in 1 hour so we have to use here the formula which is

Rate = Distance / Time

Rate = 3/5 divided by 1/3

SO using third proportion rule we have to change the Numerator of second fraction with denominator and denominator with numerator  and division sign will be change into Multiplication so this one will be

3/5 x 3/1

9/5 will be the answer

Which statement is true?
A A right triangle always has two acute angles.
B An obtuse triangle always has two obtuse angles.
C An acute triangle always has a right angle.
D A triangle always has an obtuse angle

Answers

Answer:

A

Step-by-step explanation:

All triangles have angle measures that must add up to 180

The answers is A cuz one Sid would be a right angle and the other two are acute angles

The greater number
Is 0.098% greater than 7 1/3

Answers

Answer:

the greater number is 7 1/3.

pleasee helpp meeee with this problemmmm

Answers

Answer:

C

Step-by-step explanation:

Answer:

I'm going to say B

Step-by-step explanation:

I hope this helps! If right may I please have brainliest? :)

Solve for x leave your answers as a simplified radical

Answers

Answer:

D) 3√13

Step-by-step explanation:

6²+9²=x²

36+81=x²

117=x²

x=√117

x=√9√13

x=3√13

Find the perimeter of this semi-circle with diameter, d = 45cm. Give your answer rounded to 1 DP.

Answers

Answer:

P = 70.6 cm

Step-by-step explanation:

Given that,

The diameter of the semicircle, d = 45 cm

Radius, r = 22.5 cm

We need to find the perimeter of the semicircle. The formula for the perimeter of a semicircle is given by :

[tex]P=\pi r\\\\P=\pi \times 22.5\\\\P=70.6\ cm[/tex]

So, the required perimeter is 70.6 cm.

Out of numbers: 5, 7, 21, 25, 28, 35, 42, 56, 75, and 80, choose those which are not factors of 42

Answers

Answer:

5, 25, 28, 35, 56, 75 80 are not the factors of 42

$4,900 is invested in an account earning 7.9% interest (APR), compounded daily.
Write a function showing the value of the account after t years, where the annual
growth rate can be found from a constant in the function. Round all coefficients in
the function to four decimal places. Also, determine the percentage of growth per
year (APY), to the nearest hundredth of a percent.

Answers

do 4.9k divided by 7.9 pie

The list below shows all of the possible outcomes for flipping four coins.

Answers

Answer:

Each one has two possibilites, so the total is 2*2*2*2 = 16

Step-by-step explanation:

TTTT

TTTH

TTHT

TTHH

THTT

THTH

THHT

THHH

HTTT

HTTH

HTHT

HTHH

HHTT

HHTH

HHHT

HHHH

If you eliminate the duplicates, ie, the coins are identical, you get 4

TTTT

TTTH

TTHH

THHH

HHHH

4n + 8 = 20
Which value of n from the solution set 3, 8, 10, 12) will make the equation true?
B
8
© 10​

Answers

Answer:

The answer is 3

Step-by-step explanation:

4 x 3 = 12

8 + 12 = 20

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]105km[/tex]

Step-by-step explanation:

It is given that; ([tex]2.5cm : 15km[/tex]) is the proportion by which distances are scaled down on a map. One can use this to make a proportion and solve to find how many ([tex]km[/tex]) would represent ([tex]17.5cm[/tex]). ([tex]x[/tex]) will represent the unknown or the number of ([tex]km[/tex]) that one has to solve for.

[tex]2.5 : 15 = 17.5 : x[/tex]

Cross products,

[tex]262.5 = 2.5x[/tex]

Inverse operations,

[tex]262.5 = 2.5x\\/2.5\\\\105 = x[/tex]

Answer ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: babes it blurry i cant see .

Step-by-step explanation:


What is the scale factor between 4 cm and 10 cm?
B:10 cm
A:4 cm

Answers

Answer: B

Step-by-step explanation:

To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides. If you begin with the smaller figure, your scale factor will be less than one. If you begin with the larger figure, your scale factor will be greater than one. The ratio of any two corresponding lengths in two similar. geometric figures.  Corresponding Angles: Angles in matching locations of two shapes

A parking lot costs $1300 a month to operate, and it spends $260 each
month for every car that parks there. The parking lot charges a monthly fee of
$450 to park a car. If n is the number of cars, which equation represents the
profit function of the parking lot?
A. p= 710n+ 1300
B. p = 710n- 1300
c. p= 190n - 1300
D. p= 190n + 1300
SUBMIT
A

Answers

Answer:

[tex]p = 190n - 1300[/tex]

Step-by-step explanation:

Given

[tex]Monthly = 1300[/tex]

[tex]Expenses = 260[/tex] per car

[tex]Charges = 450[/tex] per car

Required

Determine the profit

Let the number of cars be n. So:

Express on n cars is: 260n

Charges on n cars is 450n

The profit (p) is then represented as:

[tex]p = Charges - Expenses - Monthly\ Expenses[/tex]

[tex]p = 450n - 260n - 1300[/tex]

[tex]p = 190n - 1300[/tex]

What is 27.5 divided by 22

Answers

Answer:

1.25

Step-by-step explanation:

Find the indicated function values

Answers

Answer:

f(-4) = 6

f(0) = -6

f(1) = -4

Step-by-step explanation:

One-Third The Difference Between 2/3 And 1/2​

Answers

Answer:

1/18

Step-by-step explanation:

2/3-1/2=1/6

1/3 x 1/6=1/18

The mean length of 9 childrens' big finger is 6.8cm.
The mean length of 3 adults' big finger is 11cm.
What is the mean length (rounded to 2 DP) of these 12 people's big finger?

Answers

Answer:

The mean length of these 12 people's big finger is of 7.85 cm.

Step-by-step explanation:

Mean value:

Sum of the values of all observations divided by the number of observations.

In this question:

9 + 3 = 12 total observations

Sum:

[tex]9*6.8 + 3*11 = 94.2[/tex]

So

[tex]M = \frac{94.2}{12} = 7.85[/tex]

The mean length of these 12 people's big finger is of 7.85 cm.

Which of the following are accurate assessments of trends displayed in this graph?
I. Sales of teddy bears decreased by about 2.9% between September and October.
II. The change in sales of rabbits is roughly equal to the change in sales of all toys.
III. Roughly 24.1% fewer horses were sold in October than in September.

a. I and II
b. II only
c. I and III
d. III only

Answers

Answer:

✅ D. III only

got it right on the test⬇️

The correct statement is

Roughly 24.1% fewer horses were sold in October than in September.

What is Data?

Data refers to any information, regardless of how it is presented or represented. A data can be a numeric expression, a piece of text like a name or address, or it can be a number.

We have,

                       September         October      Trend

Teddy bears         346                   308       -10.98%

Rabbits                  297                    260       -12.46%    

Cats                       199                     285        +43.22%

Horses                  245                     186        -24.08%

Others                  225                     275         +22.22%

Total                     1,312                    1,314         +0.15

Now, Sales of teddy bears decreased by about 2.9% between September and October.

That reduced by around 11%, thus it is untrue.

II. The change in sales of rabbits is roughly equal to the change in sales of all toys.

It is untrue because variations in the sales of rabbits do not correspond to variations in the sales of all toys.

III. Roughly 24.1% fewer horses were sold in October than in September.

Yes, this is correct.

Learn more about Data here:

https://brainly.com/question/14570958

#SPJ7

What is the least common multiple (LCM) that could be
used to find a common denominator for the fractions
and
o 2
8
0 12

Answers

Answer:

the greatest common factor will be 3

20 points!!!!! The table represents a linear function

Answers

I believe the answer is 5. I multiplied 5 to -4 and that’s -20 and I’m guessing since slope-intercept form is y=Mx+b I’m thinking b=4 and the slope being 5 matches the output. -16=5(-4)+4

What is the slope of the line X=-3?

Answers

Answer:

undefined

Step-by-step explanation:

Answer:

The slope is undefined

Step-by-step explanation:

What is the answer plz​

Answers

answer: area of the shape is 180m2 (2 means squared)

Answer:

A = 180m²

Step-by-step explanation:

To find the area of the bottom rectangle subtract the height of the top rectangle. Hope that makes sense if you want a another just ask.

The total cost of 4 starfish was $7.20. Write and solve an equation to find how much one starfish cost.

Answers

Answer:

$1.80

Step-by-step explanation:

4x = 7.20

x = 1.80

What’s the value of u , help please

Answers

Step-by-step explanation:

u-42+u-43+u-44=180

3u -129 = 180

3u = 309

u = 103

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

105

Step-by-step explanation:

17.5÷2.5=7

7x15=105

A sample of 100 cars driving on a freeway during a morning commute was drawn, and the number of occupants in each car was recorded. The results were as follows: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Occupants 1 2 3 4 5 Number of Cars 64 19 12 3 2 Find the sample median number of occupants.

Answers

Answer:

The sample median number of occupants is 1.

Step-by-step explanation:

Median:

The measure that separates the lower half of the distribution from the upper half.

In this question:

Total of 100 cars.

64 have 1 occupant.

19 have 2 occupants

12 have 3 occupants

3 have 4 occupants

2 have 5 occupants.

Median:

In the cumulative distribution

100/2 = 50

While we count until 64, it has 1 occupant, so 50 is one occupant, which means that the sample median is 1.

The sample median number of occupants is 1.

The lengths of the sides of a triangle are in the extended ratio 4 : 5 : 8. The perimeter of the triangle is 85 centimeters. Find the length of the shortest side.​

Answers

Answer:

the answer is 20

Step-by-step explanation:

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