Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the advertising expenditures for 60 manufacturing companies located in the Southwest. Estimate the mean and the standard deviation of advertising expenses. (Round squared deviations to nearest whole number and final answers to 2 decimal places.) Advertising Expenditure ($ millions) Number of Companies 25 up to 35 5 35 up to 45 10 45 up to 55 21 55 up to 65 16 65 up to 75 8 Total 60
Mean
Standard deviation

Answers

Answer 1

The estimated mean of advertising expenses is $52 million, and the estimated standard deviation is $11.23 million.

To estimate the mean and standard deviation of advertising expenses, we need to calculate the midpoint of each class interval, the product of the midpoint and the frequency, and the squared deviation from the mean.

Here's a table to organize the calculations:

Class Interval (x)     Frequency (f)     Midpoint (x)       fx

25 up to 35                   5                       30                 150

35 up to 45                   10                      40                 400

45 up to 55                   21                      50                1,050

55 up to 65                   16                      60                 960

65 up to 75                   8                        70                  560

To calculate the mean, we need to find the sum of the products of the midpoint and the frequency, divided by the total frequency.

Mean = (fx) / Total Frequency

Mean = (150 + 400 + 1,050 + 960 + 560) / 60

Mean = 3,120 / 60

Mean = 52

Calculate the squared deviation from the mean for each class interval.

(x - mean)² × f

(30 - 52)² × 5 = 484 × 5 = 2,420

(40 - 52)² × 10 = 144 × 10 = 1,440

(50 - 52)² × 21 = 4 × 21 = 84

(60 - 52)² ×  16 = 64 × 16 = 1,024

(70 - 52)² ×  8 = 324 × 8 = 2,592

Calculate the sum of the squared deviations.

Sum of (x - mean)× f = 2,420 + 1,440 + 84 + 1,024 + 2,592

= 7,560

Standard Deviation =√(Sum of (x - mean)² × f / Total Frequency)

Standard Deviation = √(7,560 / 60)

Standard Deviation = √(126)

Standard Deviation = 11.23

Hence, the estimated mean of advertising expenses is approximately $52 million, and the estimated standard deviation is approximately $11.23 million.

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ4

Complete question

Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the advertising expenditures for 60 manufacturing companies located in the Southwest. Estimate the mean and the standard deviation of advertising expenses. (Round squared deviations to nearest whole number and final answers to 2 decimal places.)

Advertising Expenditure ($ millions)        Number of Companies

25 up to 35                                                                      5

35 up to 45                                                                    10

45 up to 55                                                                    21

55 up to 65                                                                   16

65 up to 75                                                                   8

Total                                                                               60


Related Questions

What does this question equal: x + 11 < 20

Answers

Any number below 9.

The formula for any geometric sequence is an = a1 · rn - 1, where a n represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the sequence -3, -6, -12, -24, ...?

an = -2 · (-3) n - 1
an = 2 · (-3) n - 1
an = -3 · 2 n - 1
an = -3 · (-2) n - 1

Answers

Answer:

C

Step-by-step explanation:

The formula for any geometric sequence is:

[tex]a_n=a_1\cdot r^{n-1}[/tex]

Where aₙ is the value of the nth term, a₁ is the value of the first term, r represents the common ratio, and n represents the term number.

We want the formula for the geometric sequence:

-3, -6, -12, -24, ...

Note that our first term is -3. Hence, a₁ = -3.

Next, each subsequent term is twice the previous term. Hence, our common ratio r = 2.

Therefore, by substitution, we acquire:

[tex]a_n=-3\cdot (2)^{n-1}[/tex]

Our answer is C.

A parallelogram has an area of 37.72 m² and a height of 4.6 m.

How long is the base of the parallelogram?

Enter your answer as a decimal in the box

Answers

Answer:

8.2m

Step-by-step explanation:

Formula : Area = base x height

rearrange : Base = area ÷ height

37.72÷4.6=8.2m

Answer:

8.2

Step-by-step explanation:

Laura says her triangle has angle measures of 100', 88°, and 72°.

Answers

Answer:

First, realize that angle ABC is the sum of the two other angles. Hence, form an equation in which you subtract the measure of one of the angles from angle ABC to get the measure of the other angle -- the one you are solving for.

Step-by-step explanation:

Mark me brainly please hop this helps.


True or False: This data set represents a function.
{(-5, 8), (-6, 2).(-2,-6), (-1, 8), (4, 6)}
True
False

Answers

Answer:
True


Explanation:
Each of the outputs got their own input but the inputs share a output

h(t)=-16t^2+80t+64 after 40 feet off the ground

Answers

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:


The prism shown has a volume of 35 cm^3
Work out h, the height of the triangular cross section.
Length =7 cm
Base=4 cm

Answers

Answer:

[tex]Height = 2.5[/tex]

Step-by-step explanation:

Given

[tex]Volume = 35[/tex]

[tex]Length =7[/tex]

[tex]Base=4 cm[/tex]

Required

Determine the height

The volume is calculated as:

[tex]Volume = Height * Base\ Area[/tex]

Since, it has a triangular cross-section, the expression becomes:

[tex]Volume = Height * \frac{1}{2} * Base * Length[/tex]

So, we have:

[tex]35 = Height * \frac{1}{2} * 4 * 7[/tex]

[tex]35 = Height * 14[/tex]

[tex]Height = 35/14[/tex]

[tex]Height = 2.5[/tex]

a spinner with four equal-size sections marked M, A, T, and H is spun 100 times. The results are shown below.

What is the theoretical probability of landing on T?

What is the experimental probability of landing on a consonant?

Compare the theoretical probability to the experimental probability of landing on H.

Answers

Answer:

there's four of them so it's a movie 25 / 100 would be the probability of landing on them

The experimental probability of landing on a consonant is more than the theoretical probability of landing on T because P(T) = 1/4 is less than P(Consonant) = 79 / 100.

What is probability?

The probability is given as,

P = (Favorable event) / (Total event)

A spinner with four equal-size sections marked M, A, T, and H is spun 100 times. The results are shown below.

Section       Frequency

   M                    28

   A                     21

   T                     26

   H                    25

The theoretical probability of landing on T will be given as,

P(T) = 1/4

P(T) = 25/100

The experimental probability of landing on a consonant is given as,

P(Consonant) = 79 / 100

The experimental probability of landing on a consonant is more than the theoretical probability of landing on T.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

What is the value of the 11th term in the sequence -3, -6, -12, -24, ...?

-6,144
-118,098
-3,072
-354,294

Answers

Answer:

3072

Step-by-step explanation:

double the number until the 11th time which would be -3072 so C

The value of a certain car after t years is modeled by the expression 15.00000.78. What are the initial cont, I, and the rate of depreciation, r, of this car
$10.500./ 30%
110,500./ 70%
1$ 15,000./ 30%
$15,000./ 70%

Answers

Answer:

15,000,r=30%

Step-by-step explanation:

What 3D solid does this net create​

Answers

I think it makes a square cuz it do be looking like a square

Answer:

cuboid.

................

I am so smart lol lol lollololololololololollololololololollolololololollololo

Answers

Answer:

2. c. 1/2

3. d. 13/16

5. d. 5/12

1. b. simplified

4. b. Nicholas did not divide the numerator and..............

Answer:

i know it’s been months since you posted this question but...

Step-by-step explanation:

2. c) 1/2, 9/18 / 9 = 1/2

3. d) 13/16, 26/32 / 2 = 13/16

5. d) 5/12, 10/24 / 2 = 5/12

1. b) simplified, you can’t simplify 8/9, it’s already smaller.

4. b) Nicholas did not divide the numerator and denominator by the same number, the GCF [greatest common factor]. 4/5 is not equivalent to 20/30. He should have divided by 10. 20/30 = 2/3.

why does that say 20/24 tho?- i think it meant 20/30.

i hope this helped! also, a definition of gcf:

GCF - A set of numbers' greatest common factor (GCF) is the largest factor that all of the numbers share. Twelve, twenty, and twenty-four, for example, all have two common factors: two and four. The GCF of 12, 20, and 24 is 4 since the highest is 4. The GCF method is often used to identify common denominators.

If the total cost is $30, use your expression to determine the cost per person.

Answers

Answer:

Well, how many people are there?

Step-by-step explanation:

We can't solve this without the number of people.

Use trigonometry to find the missing side. Round your answer to the nearest tenth (one decimal place)

Answers

Given:

A figure of a right triangle.

To find:

The missing side by using the trigonometric ratios.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]

In triangle ABC,

[tex]\cos A=\dfrac{AC}{AB}[/tex]

[tex]\cos (31^\circ)=\dfrac{b}{270}[/tex]

[tex]0.857=\dfrac{b}{270}[/tex]

Multiply both sides by 270.

[tex]0.857\times 270=b[/tex]

[tex]231.39=b[/tex]

[tex]b\approx 231.4[/tex]

Therefore, the missing side length is b=231.4 inches.

ABC Bank requires a 20% down payment on all of its home loans. If a house
is priced at $145,000, what is the amount of the down payment required by
the bank?
O A. $290,000
O B. $18,000
O C. $29,000
O D. 814,500

Answers

I think it is A hope it correct
the answer to the question is A

The value of the 6 in the number 60,324 is how many times greater than the value of the 6 in the number 4,621​

Answers

100 hundred times larger

Find the lateral area of this cone. Leave your answer in terms of pi.
25 cm
8 cm

Answers

Answer:

200

Step-by-step explanation:

pi · radius · height

3.14 · 8 · 25 = 200

Stephen has $157.92 in his savings account. He deposited d more dollars into his account after receiving a gift from his grandmother. Enter an equation that represents the total amount of money, t, Stephen now has in his savings account.

Answers

Answer:

157.92 + d =t

Step-by-step explanation:

Plz help this is 400 points. Nancy bought a Reuben sandwich and received her change in several coins. The cashier handed Nancy 2 half dollars, 3 quarters, 4 dimes, 4 nickels, and 1 penny. How much money did Nancy get in change? explain in two sentence

Answers

Answer: After Nancy bought the sandwich, the cashier handed back $2.36

Step-by-step explanation:

Combine Like Terms 4a + 7a

Answers

4a+7a= 11a
There alike terms

Answer:

[tex]11a[/tex]

Step-by-step explanation:

[tex]4a + 7a = 11a[/tex]

Hope this helps you

Can I have the brainliest please?

Help me please & Thx
Not really understanding
If you help me i can help you :>
THANKS <3

*BTW this is pre-algebra*

Answers

Answer: 16 times 20 is 320

Step-by-step explanation: 1 floor is 16 feet. Because of 32/2 to find the rate

Answer is letter: C

Solve for [x]. The pair of polygons are similar.
The scale factor from A to B is 1:2

Answers

Answer:

13

Step-by-step explanation:

Jim is 5 feet tall. What is his height in inches?
Helppppppp

Answers

Answer:

5 feet = 60 inches

Step-by-step explanation:

Every foot is 12 inches, so.. this problem can be turned into simple multiplication..

12 x 5= 60

So, Jim is 60 inches tall.

Hope this helps! :)

Have a nice day!♥

Which of the following theorems verifies that GHI = UVW

Answers

Correct Answer: C / AA

Mark was thinking of a number. Mark subtracts 6.2 from the number and gets an answer of 68. Form an equation with
x
from the information.

Answers

Answer:

X= 6.2 + 68 ???

Step-by-step explanation:

I'm not sure that's what I would write in an exam

Mr.Falcons pizza shop offers two sizes of pizza. The XL large and XXL pizza with diameters of 20 inches and 22 inches. What is the difference between the two pizza?

Answers

Answer:

one is 2 inches bigger that the other.

Step-by-step explanation:

becuase if one of the pizza is 20in ans the other is 22 the 20 on is only 2in away frof the XXL pizza .

determine whether the data in the table display exponential behavior. Explain why or why not
please help

Answers

Answer:

A

Step-by-step explanation:

find the measure of each angle with an expression.

there should be 2 answers.

PLS HELP​

Answers

= -4x + 5 + ( -13x + 39 ) = 180 ( co - interior angle )= -4x + 5 - 13x + 39 = 180 = -4x - 13x + 5 + 39 = 180= -17x + 44 = 180= -17x = 180 - 44= -17x = 136= x = 136 / 17= x = 8Therefore angles are :--27 , -65

what is the answer for number 1?

Answers

Answer:

28.26

Step-by-step explanation:

A = pie x radius*2

The radius is 3, and pie is 3.14. This means the equation is

A = 3.14 x 3*2

3*2 is just 3 x 3, which is 9.

9 x 3.14 = 28.26

subtract (-4305) from |(-2508)+(-3502)|​

Answers

answer:

10315

I used a calculator

step by step

(- 4305) - |(-2508) + (- 3502)|

Rewrite

Remove the parentheses

4305 - |

Calculate

4305 - |

- 2508 - 3502

- 6010

Calculate the absolute value

- 4305 - 6010

Calculate

Solution

- 10315

Other Questions
Name two Earth processes that influence the distribution of natural resources on Earth. what is the meaning of flourish? In the year 2000, the number of bunnies in a certain forest was 320. Since that year the number of bunnies in that forest has increased at a rate of 16% per year. Write a function, f(x), that models the number of bunnies x year after the year 2000. help will mark b if right Please please help me please What is the area of the shaded region? Among the ethical and social challenges facing operations managers are a. honoring community commitments b. maintaining a clean environment c. developing safe quality products d. providing a safe workplace e. all of the above How does the content of the preamble of the Declaration of Independencediffer from that of the grievances? Which date has the longest daylight and the shortest darkness The top of a ramp is 4 feet above the ground. The ramp makes a 21.3 degree angle with the ground. What is the length of the ramp Tariffs may raise the price that foreign customers must pay for goods produced in the United States, negatively impacting a U.S. firm's ability to be pricecompetitive in those markets.True or False(Will give branliest) Please help. You will get a noice amount of points. Pleaseeeeeeee help me on thissssss i need helpppppp Calculate the pressure300 Newtons 5 meters Many Germans accepted Hitler's anti-Semitism and his claims that Germans were a"master race" because they felt humiliated by the Treaty of Versailles and wanted aconvenient scapegoat for Germany's problems. The opposite sides of a parallelogramare A spinner with sections Red, Blue, Yellow, and Green is spun 3 times. What is theprobability that it will land on yellow all 3 times? USING THE GRAPH DETERMINE THE COORDINATES OF THE X INTERCEPT OF THE PARABLOA what is "what"? plz tell me An amusement park ride called the Rotor debuted in 1955 in Germany. Passengers stand in the cylindrical drum of the Rotor as it rotates around its axis. Once the Rotor reaches its operating speed, the floor drops but the riders remain pinned against the wall of the cylinder. Suppose the cylinder makes 26.0 rev/min and has a radius of 3.70 m. 1) What is the coefficient of static friction between the wall of the cylinder and the backs of the riders