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

If you partition ¼ into 6 equal segments, how long is each segment?

Answers

Answer:

1/24

Step-by-step explanation

I'm pretty sure that you just do 1/4 times 6 to get 1/24 so each segment will be 1/24.

First one to answer gets BRAINLIEST no cap look at the picture.

Answers

Answer:

your answer will be 56 square millimeters

Step-by-step explanation:

hope it helps

Answer:

34 square meaters.

Step-by-step explanation:

Look at picture below!

9
On a field trip, there are 3 adults for every 45 students. Which graph models a relationship with
the same unit rate?
А
с
101
9
10
9
8
7
7
6
5
4
b
6.
5
4
3
2
3
2
1
0
30
60
90 120 150
30
60 90 120 156
B
D
10T
9
8
10
9
6
5

Answers

Answer:

I believe the answer is C

Simplify.

4a(6) + 3a

24 a2 + 3 a
13 a
27 a
27 a2

Answers

Answer:

24a + 3a

27a

we didn't multiply a since it is addition so it can not be a²

please give brainiest

Answer:

27a

Step-by-step explanation:

Just distribute. First multiply 4 times 6 which would be 24a. 24a+3a would then be 27a ;)

A cook needs 12 pounds of flour. He wants to spend the least amount of money. If a 2-pound bag costs $1.59 and a 5-pound bag costs $2.89, how many bags of each type of flour should he buy? What will be the total cost?

Answers

He should get 2 5-pound bags and 1 2-pound bag, it will cost him in total 7.37 dollars

If you were to calculate the average rate of change of a function over a variety of intervals and you found that they were all the same, what conclusion could you draw and why

Answers

You could infer that there was the same amount of every interval.

Can someone please help I forgot how to do this.

Answers

Answer:

5²+1×2 - 4(4) = 11

Step-by-step explanation:

up top when it says a = 4

and b = 5 that's means b and a are those numbers.

then while 4 is touching a that means to multiply. And the 2 up top of b means 5×5, then do order of operations to find the answer. If you dont you'll get it WRONG.

Order of operations is this

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

A house was sold for $60,000 ten years ago. It has increase in value 55%. What is the value of the house now?

Answers

93,000 ? i believe. tell me if i’m wrong.

Help plz....................

Answers

Answer:

x = 136°

y = 44°

Step-by-step explanation:

x + 44° = 180° (Adjacent angles of a parallelogram)

x = 180° - 44°

x = 136°

y = 44° (Opposite angles of a parallelogram)

Please Help me, what the answer

Answers

It’s either 1. Or 2. I’m really not sure which one tho so sorry! There’s not enough information given but if I had to guesstimate I would say 1.

What is the surface area of a cube with a side length of 5? Please answer ASAP, I’m marking brainliest!!!!!

Answers

The answer for this is 5x5=25 25x6=150

Answer:

150

Step-by-step explanation:

5x5=25

25 is the surface area of one of the sides.

25x6=150

150 is the surface area of the whole cube

Michelle's quiz grades are 73, 75, 89, and 91. What score on her fifth quiz will make her average quiz grade at least 85?​

Answers

Answer:

in order to have an average of 85 on 5 tests, she needs to score a total of 85x5.

that's 425 points.

on the first 4 quizzes, she has earned 328 points.

she needs to score 97 points on the 5th quiz to average 85.

she needs to study very hard!

Please help meeeeeeeeee

Answers

The measure of the largest angle is 74°

question plz helpppppppppp

Answers

Answer:

the answer is 38.25

Step-by-step explanation:

45-15%

=38.35

Answer:

$6.75

Step-by-step explanation:

To solve any percent problem, u can use the equation part         %

                                                                                           -------   =   ---

                                                                                         whole       100

(the lines are fraction bars btw, when u right out the problem, write it as fractions)

In this problem, the whole is 45, because that is the original, or whole price. The % is 15, because u want to find 15%. The part would be x, because that's what u want to find. Cross multiply, so ur problem should look like this:

100x = 675.

Then, divide 675 by 100 to get x = 6.75.

So Natalie saves $6.75.

hope this helps!

Can someone help me please I don’t know if I did it right.

Answers

Answer:

1st, third and last options are correct answers

Step-by-step explanation:

e + 3 + e + 3

2e + 6

2(e + 3)

If you make a batch of cookies and your sister eats 10% of them, what percent remains?

Answers

Answer:

I love cookies

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

1 batch would be the same as 100%

So, 100%-10%=90%

Hope I helped you!!!!!

First one to answer gets BRAINLIEST no cap look at the picture.

Answers

Answer:

63 sq meters

Step-by-step explanation:

[tex]A=\frac{a+b}{2} h\\\\A=\frac{11+7}{2} *7\\\\A=\frac{18}{2} *7\\\\A=9*7\\A=63[/tex]

A=a+b/2 •9
A=11+7/2 •9
A=18/2 •9
A=9•9
A=81 m^2

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]

please help on this question i give brainliest

Answers

Answer:

1. 9 bounds of carbon dioxide

2.  27 bounds of carbon dioxide

Step-by-step explanation:

So let's find a unit rate: 1 to 9

"Why is it 1:9?"

If I can find divide 72 pounds into 8 hours? What would I find? You would find the pounds for each other

Example: 72/8=9. So If 9 carbon dioxide per hour. I can do 3 hours is 27 pounds of carbon dioxide.

So to sum it up, 72/8=9 so 1:9 can be used to figure out any amount of pounds used in a certain number of hours. So If 3 hours, then 27 pounds.

Answer:

1. 9 pounds of carbon dioxide

2. 27 pounds of carbon dioxide

Step-by-step explanation:

Well, I just know it.

Wanda created the poster shown below:
Tin
Att
1 N
STOPI
width - 36 cm
length - 32 cm
What would be the dimensions of the poster at 4 times its current size? (5 points)
O Length - 128 cm, width = 144 cm
O Length - 28 cm, width - 32 cm
O Length = 36 cm, width =
O cm
O Length = 8 cm, width = 9 cm

Answers

Answer:

Length=8 cm ,width=9 cm .

Step-by-step explanation:

Given in rectangle

Length of the rectangle=32 cm

Width of the rectangle= 36 cm

According to question

Length of poster= times length of rectangle

Length of poster=

Length of poster=8 cm.

By simplification

Width of poster= times width of rectangle

Width of poster=

Width of poster= 9 cm

By simplification

Hence, Length of poster=8 cm and width of poster=9 cm.

A news report states that the 99% confidence interval for the mean number of daily calories consumed by participants in a medical study is (1850, 2000). Assume the population distribution for daily calories consumed is normally distributed and that the confidence interval was based on a simple random sample of 18 observations. Calculate the sample mean, the margin of error, and the sample standard deviation based on the stated confidence interval and the given sample size. Use the t distribution in any calculations and round non-integer results to 4 decimal places.

Answers

Answer:

The sample mean is of 1925 calories.

The margin of error is of 75 calories.

The sample standard deviation is of 109.7992 calories.

Step-by-step explanation:

Sample mean:

The sample mean is the mean value of the two bounds of the confidence interval. So

[tex]M = \frac{1850 + 2000}{2} = 1925[/tex]

The sample mean is of 1925 calories.

The margin of error

Difference between the bounds and the sample mean. So

2000 - 1925 = 1925 - 1850 = 75 calories.

The margin of error is of 75 calories.

Sample standard deviation:

Here, I am going to expand on the t-distribution.

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 = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.898

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

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

Since [tex]M = 75, T = 2.898, n = 18[/tex]

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

[tex]75 = 2.898\frac{s}{\sqrt{18}}[/tex]

[tex]s = \frac{75\sqrt{18}}{2.898}[/tex]

[tex]s = 109.7992[/tex]

The sample standard deviation is of 109.7992 calories.

Please sombody actually help me im stuck on this.​

Answers

Answer:

A=6

B=19

C=55

D=119

E=70

Answer:

Blank A = 6

Blank B = 19

Blank C = 55

Blank D = 119

Blank E = 70

The temperature in Mansfield, Ohio was -3 degrees in the afternoon. After the sun went down, the temperature dropped 6 degrees. What was the temperature after the sun went down? *


GET right i give brainly

Answers

-9
Because if you have negative three and it drops 6 then it becomes negative 9

2
Solve for x. Round answer to the nearest tenth.
11
35
to

Answers

Answer:

x ≈ 18.3°

Step-by-step explanation:

Reference angle = x

Opposite side = 11

Hypotenuse = 35

Apply SOH:

Sin x = opp/hyp

Sin x = 11/35

[tex] x = sin^{-1}(\frac{11}{35}) [/tex]

x ≈ 18.3°

Emil was dividing his candy among 15 friends and himself. If eachperson received 4 pieces, how many pieces of candy did Emil have to start with? Define a variable and write an equation. Solve the equation and check your solution.

Answers

I think it’s probably 2

8y + -5(-y + 2)
Pls help simplify the expression !!

Answers

Answer:

13y-10

Step-by-step explanation:

Expand: -5(-y+2):    5y-10

Add similiar elements: 8y+5y=13y

=13y-10

Answer:

-5 x -y = 5y

-5 x 2 = -10

8y + 5y = 13y

therefore your expression is:

13y - 10

A + A =2,A + B =3,A + B × 2 =??..only for geniuses​

Answers

Answer: 5

Step-by-step explanation:

1. What is the value of x?
41°
72
Your answer

Answers

triangles add up to 180°, so the answer is 67
It is 67 because the triangle is at 180 degrees so 180-72=108 than do 108-41=67.

PLEASE HELP ILL GIVE BRAINLIEST FOR BEST ANSWER!!



Palindrome numbers are numbers that read the same forward or backward. here are some palindrome numbers: 11, 121, 75257, and 1234321. The smallest three digit palindrome is 101. How many palindrome numbers are there between 10 to 1000?​

Answers

There are 99 palindromic numbers between 10 and 1000: 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 222, 232, 242, 252, 262, 272, 282, 292, 303, 313, 323, 333, 343, 353, 363, 373, 383, 393, 404, 414, 424, 434, 444, 454, 464, 474, 484, 494, 505, 515, 525, 535, 545, 555, 565, 575, 585, 595, 606, 616, 626, 636, 646, 656, 666, 676, 686, 696, 707, 717, 727, 737, 747, 757, 767, 777, 787, 797, 808, 818, 828, 838, 848, 858, 868, 878, 888, 898, 909, 919, 929, 939, 949, 959, 969, 979, 989, 999.

which diagram shows 1 and 2 as vertical angles

Answers

there’s no photo attached
Other Questions
Consider an economy with two types of firms, S and I. S firms always move together, but I firms move independently of each other. For both types of firms there is a 70% probability that the firm will have a 20% return and a 30% probability that the firm will have a -30% return. The standard deviation for the return on an portfolio of 20 type S firms is closest to ________. Plssss help Write the equation in slope intercept form:3x + 6y = 18 5. What's the fraction 18/24 reduced to its lowest terms?O A. 18/24. .O c. %12D. 2418 If one movie ticket cost $15, how much will 5 movie tickets cost How old am I if 400 reduced by 3 timesmy age is 181? help vvvvvvvvvvvvvvvvvvv Please help please please Hard steering can be caused by Helppp!!!!!I need answer to both of theseThis is importantYou will be mark brainliest you give me and answer to this True or False questions How is it possible for person B to be both the son and grandson of person A? How does that even happen? what is the following sum El pap dio a su hijo. (los medicamentos) Single-celled organisms need a microscope to be seen...O TrueO False Amber is on a family cell phone plan with the other 2 members of her family. The family gets 744 shared cell phone minutes a month, and each family member is limited to his or her equal share of the minutes. The only free calls are calls between family members. How many minutes per day can Amber talk on her cell phone with her friends during a 31-day month, without going over her share of the minutes? -6n-2n=16 This isn't urgent Help me pls! Ill mark brainliest if correct! Tysm Help please thanks!Q #1 options are: 1928, 1932 or 1934Q #2 options are: Should intervene or Should NOT interveneQ # 3 options are: Create new programs, Refuse cash bonuses or end federal aid how does air pressure affect weather Put the following equation of a line into slope-intercept form, simplifying all fractions. 4y - 4x -32 examples of musical drama