Historically, the industries with the most complaints to the Better Business Bureau have been banks, cable and satellite television companies, collection agencies, cellular phone providers, and new car dealerships. The results for a sample of complaints are contained in the file BBB. Click on the datafile logo to reference the data. a. Construct a frequency distribution for the number of complaints by industry. Category Observed Frequency Bank Cable Car Cell Collection Total b. Using , conduct a hypothesis test to determine whether the probability of a complaint is the same for the five industries. The test-statistic is (to 3 decimals). -value (to 4 decimals) What is your conclusion

Answers

Answer 1

Answer:

χ² = 19

Pvalue = 0.0008 ( 4 decimal places)

WE reject the H0 and conclude that probability of complaint is not the same for the 5 industries

Step-by-step explanation:

H0 : probability of complaint is the same for the 5 industries.

H1: probability of complaint is not the same for the 5 industries.

Category ____ observed frequency

Bank _______ 26

Cable _______44

Car _________42

Cell _________60

Collection ____ 28

Total ________200

The test statistic ;

χ² = (O - E)² / E

O = Observed Frequency ; E = Expected Frequency

Expected Frequency, E = (1 / n) * total

n = number of industries = 5

Expected frequency, E = (1/5)*200 = 40

Expected frequency is the same for all, thus E for all 5 industries = 40

χ² = Σ(O - E)² / E;

χ² = (26-40)² / 40 + (44-40)² / 40 + (42-40)² / 40 + (60-40)² / 40 + (28-40)² / 40

χ² = 19

At α = 0.05 ; df = n-1 = 4 ; χ²critical = 0.000786

Since Pvalue < α ; WE reject the H0 and conclude that probability of complaint is not the same for the 5 industries.


Related Questions

identify the constant term in the given expression : -3xy + 10
plz​

Answers

Step-by-step explanation:

well, what does the word "constant" tell you ?

e.g. "this is a constant reminder of ..."

a constant is steady and unchanging. always the same.

so, what could be the constant part/term in the expression ?

-3xy ? is that always the same value ? no matter what values you assign to x, y (and whatever other variables there might be in the system)?

or

10 ? is that always the same value, no matter what values are assigned to x, y, ... ?

there are no other parts/terms I can see here.

so, please use your common sense and pick the right one. you can do that !

this is so simple. to outright write the answer to this feels like an offense. also against your own intelligence.

There are 45 applicants for two Software
Maker positions.
I

Answers

I honestly don’t know because I honestly don’t know

enter the number that belongs in the green box

Answers

5x - 2 = 4 + 2x

3x - 2 = 4

3x = 6

x = 2

Hope this helps!

Solve the given differential equation by using an appropriate substitution. The DE is of the form dy/dx = f(Ax + By + C), which is given in (5) of Section 2.5. dy/dx = 4 + (y − 4x + 6)^1/2

Answers

dy/dx = 4 + √(y - 4x + 6)

Make a substitution of v(x) = y(x) - 4x + 6, so that dv/dx = dy/dx - 4. Then the DE becomes

dv/dx + 4 = 4 + √v

dv/dx = √v

which is separable as

dv/√v = dx

Integrating both sides gives

2√v = x + C

Get the solution back in terms of y :

2√(y - 4x + 6) = x + C

You can go on to solve for y explicitly if you want.

√(y - 4x + 6) = x/2 + C

y - 4x + 6 = (x/2 + C

y = 4x - 6 + (x/2 + C

An unknown number becomes 30 when rounded to the nearest ten. Which could NOT be the unknown number?
A. 24
B. 25
C. 28
D. 31

Answers

Answer:

A. 24

Step-by-step explanation:

Five and above rounds up

so 25,26,27,28,29 rounds up to 30

We leave it alone when 4 or less

34,33,32,31,30 remains at 30

24 would not round to 30

I need help guys thanks so much

Answers

Answer: A & C

Step-by-step explanation:

[tex]i=\sqrt{-1}[/tex]

[tex]\sqrt{-1} *\sqrt{4} =\sqrt{-4}[/tex]

You can also simplify the above by taking the -4 out of the radical

It becomes 2 x [tex]\sqrt{-1}[/tex], which can be simplifed to C

The purchase price of a new machine is 3500 000 dinars. its value will decrease by
300 000 dinars each year.write a linear model that expresses the value of the
machine (t) years after its purchased :

A) p = 300 000 -3500000t

B) p = 3500 000 +300000t

C) p = 3500 000-300000t

D) p = 300 000+3500000t

Answers

The answer is C. The original value of the machine is 3,500,000. We know that is decreases in value by 300,000. Our equation should be 3,500,000-300,000(t ). We know it’s subtraction since the value is decreasing.

In this problem, assume that the probability that a person is born on a given day is 1/365. (For simplicity, ignore Feb 29.) In a group of 100, what is the expected number of pairs of people who have the same birthday

Answers

Answer:

the expected number of pairs of people who have the same birthday is 14

Step-by-step explanation:

The computation of the expected number of pairs of people who have the same birthday is as follows:

= 100 (100 - 1) ÷ 2 × 365

= 100 × 99 ÷ 730

= 9900 ÷ 730

= 13.5616

= 14

Therefore, the expected number of pairs of people who have the same birthday is 14

HELP PLS ! ! !
What is |1 − 8i|?

A) √-65

B) 65

C) √65

D) √13

Answers

Answer:

C) SQRT(65)

Step-by-step explanation:

the magnitude of 1-8i is given by the following:

sqrt(a^2+b^2)  

sqrt(1^2+8^2)

=sqrt(1+64)

=sqrt(65)

It is to be noted that the magnitude of   |1 − 8i| is √(65) (Option C)

What is the computation of the above?

To find the magnitude (or absolute value) of a complex number, we use the formula |a + bi| = √(a² + b²). In this case, the complex number is 1 - 8i.

Using the formula, we have  -

|1 - 8i| = √(1² + (-8)²)

= √(1 + 64)

= √65

Hence, the magnitude of 1 - 8i is √65.

So the correct answer is C) √65.

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According to the American Academy of Cosmetic Dentistry, 75% of adults believe that an unattractive smile hurts career success. Suppose that 25 adults are randomly selected. What is the probability that 15 or more of them would agree with the claim?

Answers

Answer:

0.9703 = 97.03% probability that 15 or more of them would agree with the claim.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they agree with the claim, or they do not. The probability of an adult agreeing with the claim is independent of any other adult, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

75% of adults believe that an unattractive smile hurts career success.

This means that [tex]p = 0.75[/tex]

Suppose that 25 adults are randomly selected.

This means that [tex]n = 25[/tex]

What is the probability that 15 or more of them would agree with the claim?

This is:

[tex]P(X \geq 15) = 1 - P(X < 15)[/tex]

In which:

[tex]P(X < 15) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 13) + P(X = 14)[/tex]

14 is below the mean, so we start below and go until the probability is 0. Then

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 14) = C_{25,14}.(0.75)^{14}.(0.25)^{11} = 0.0189[/tex]

[tex]P(X = 13) = C_{25,13}.(0.75)^{13}.(0.25)^{12} = 0.0074[/tex]

[tex]P(X = 12) = C_{25,12}.(0.75)^{12}.(0.25)^{13} = 0.0025[/tex]

[tex]P(X = 11) = C_{25,11}.(0.75)^{11}.(0.25)^{14} = 0.0007[/tex]

[tex]P(X = 10) = C_{25,10}.(0.75)^{10}.(0.25)^{15} = 0.0002[/tex]

[tex]P(X = 9) = C_{25,9}.(0.75)^{9}.(0.25)^{16} \approx 0[/tex]

Then

[tex]P(X < 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.0002 + 0.0007 + 0.0025 + 0.0074 + 0.0189 = 0.0297[/tex]

And

[tex]P(X \geq 15) = 1 - P(X < 15) = 1 - 0.0297 = 0.9703[/tex]

0.9703 = 97.03% probability that 15 or more of them would agree with the claim.

Which line is parallel to y = -2x + 8

Answers

Answer:

y=-2x-7

Step-by-step explanation:

after putting the choices with the question in a graph I found that that ones stays in a line with the question

Brainliest please!!

Can someone do #8 #9 & #10 for me please?!❤️

Answers

Answer:

8. 72% × 850

= 72/100 × 850

= 72 × 8,5

= 612 ( b )

9. Poin B = 4 ( b )

Answer:

8. B

9. B

10. C

Step-by-step explanation:

8. To find 72% of 850, you would multiply 0.72 x 850. When you do that, it gives you 612.

9. B is on the number 4.

10. The expression is asking, "What is the absolute value of 28?". Absolute value means that the number inside will always be positive. For example, if it was -28, the absolute value would turn to 28. Since the question has 28 already positive, there is no change, so the answer would be 28.

find the missing length indicated​

Answers

I think x is 144 by using tan theta=p/b

explainion:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Use The (Pythagorean Theorem) to find the length of any side of a right triangle. Form it like its shown in picture above. Follow the instructions that also shown in the picture above.

4 t-shirts and a hat costs £31.00
2 t-shirts and a hat costs £17.00.
How much does a t-shirt cost?
How much does a hat cost?

Answers

Answer:

t- shirt cost £7, hat cost £3

Step-by-step explanation:

let t represent cost of t- shirt and h represent cost of hat , then

4t + h = 31  → (1)

2t + h = 17 → (2)

Subtract (2) from (1) term by term to eliminate h

(4t - 2t) + (h - h) = 31 - 17 , that is

2t = 14 ( divide both sides by 2 )

t = 7

Substitute t = 7 into either of the 2 equations and solve for h

Substituting into (1)

4(7) + h = 31

28 + h = 31 ( subtract 28 from both sides )

h = 3

t- shirt cost £7 and hat cost £3

A line passes through the point (-3, -3) and has a slope of 1/2 What is the equation of the line?

Answers

Answer:

y= 1/2x-3/2

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = 1/2x+b

Using the point for x and y we can find b

-3 = 1/2(-3)+b

-3 = -3/2 +b

-6/2 = -3/2+b

Add 3/2 to each side

-6/2 +3/2 = b

-3/2 = b

y= 1/2x-3/2

Answer:

Step-by-step explanation:

y + 3 = 1/2(x + 3)

y + 3 = 1/2x + 3/2

y + 6/2 = 1/2x + 3/2

y = 1/2x - 3/2

what is sqrt 2x-3 = sqrt 3x-9

Answers

Answer:

x=6

Step-by-step explanation:

sqrt (2x-3) = sqrt (3x-9)

Square each side

(sqrt (2x-3))^2 = (sqrt (3x-9))^2

2x-3 = 3x-9

Subtract 2x from each side

2x-3-2x = 3x-2x-9

-3 = x-9

Add 9 to each side

-3+9 = x-9+9

6 =x

Check solution

sqrt (2*6-3) = sqrt (3*6-9)

sqrt (9) = sqrt (9)

3=3

Solution is valid

sqrt (2x-3) = sqrt (3x-9)

Square each side

(sqrt (2x-3))^2 = (sqrt (3x-9))^2

2x-3 = 3x-9

Subtract 2x from each side

2x-3-2x = 3x-2x-9

-3 = x-9

Add 9 to each side

-3+9 = x-9+9

6 =x

sqrt (2*6-3) = sqrt (3*6-9)

sqrt (9) = sqrt (9)

3=3

Therefore ans x = 6

Answered by Gauthmath must click thanks and mark brainliest

The speed of the light is approximately 3x10^14 centimeters per second.how much will it take light to Tavel 9x10^14 centimeters

Answers

Answer:

3 seconds

Step-by-step explanation:

First, let's calculate the approximate speed of light.

3 · 10^14 = 3 · 100,000,000,000,000

              = 300,000,000,000,000

Approximately, light travels 300,000,000,000,000 centimeters per second.

Now, let's simplify 9x10^14.

9 · 10^14 = 9 · 100,000,000,000,000

              = 900,000,000,000,000

To find out how many seconds light takes to travel 900,000,000,000,000 centimeters, we have to divide this number by 300,000,000,000,000, the approximate speed of light.

900,000,000,000,000/300,000,000,000,000 = 3

Therefore, it will take 3 seconds for light to travel 900,000,000,000,000 centimeters.

It will take 3 seconds to cover the distance of 9×10¹⁴ cm.

What is scientific notation?

We use the scientific notation of numbers to write very large numbers in compact form.

In the scientific form, we write a number in the form of base×10ⁿ.

Where 0 ≤ base < 10 and n can be any rational number.

Given the speed of light s approximately 3×10¹⁴ cm/sec.

∴ It will take (9×10¹⁴/3×10¹⁴) = 3 seconds.

We know that exponents are added when the same base is multiplied and exponents are subtracted when the same base or integral multiple of the same base is divided.

learn more about scientific notation here :

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Suppose you choose a marble from a bag containing 4 red marbles, 2 white marbles, and 3 blue marbles. You return the first marble to the bag and then choose again. Find P(red then blue).

Answers

Answer:

4/27

Step-by-step explanation:

total number of marbles=9

probability of red=4/9

since you returned the first marble, the total number of marbles remains the same

prob(Blue)=(3/9)=1/3

P(red then blue)=(4/9)*(1/3)

=4/27


Bill's father is three times Bill's age. Three years ago, Bill's father was four times Bill's age.
By forming two equations, find Bill's age now.

Answers

Answer:

12 and 36

Step-by-step explanation:

Call the age of both Bill and his father is a and b, respectively

we have:

b=3a

b-3=4(a-3) ->b=4a-12 -> 3a=4a-12 ->a =12 -> b=36

What type of equation is 9x-3y=27

Answers

Answer:

a first degree equation

Study the scatterplot and trend line. Which two points can be used to find the equation of the trend line?

Which points are on the trend line?
(1, 30) and (9, 95)
(2, 30) and (6, 70)
(2, 45) and (8, 90)
(3, 50) and (7, 65)

Answers

Answer:

C

Step-by-step explanation:

Just trust

Answer:

C

Step-by-step explanation:

I did the assignment in edge and got it right.

Proof:

I want a correct answer you can take your time. If I was born on December 24, two thousand and four ( 24 / 12 / 2004 ) and my classmate was born on April 9, two thousand and six ( 09 / 04 / 2006 ), how many months, years and days are we apart?

Answers

Answer:

8 months 11 days 1 year

Which ordered pair is a solution to the system of inequalities? y ≥ –x + 2 y > x – 5


A) (–5,–2)

B) (–1,1)

C) (0,0)

D) (3,2)

Answers

Answer:

it should be letter c

Step-by-step explanation:

I hope this help

Answer:

D) (3,2)

Step-by-step explanation:

One way of solution is to plot the lines and points and confirm the answer visually.

See attached.

Another way is to substitute the coordinates and verify if they satisfy both of the inequalities.

Each of the methods gives us the correct answer choice of D.

Pls Help! I'll mark the correct answer brainliest <3

A new computer virus is infecting computers and handheld devices connected to the internet. The number of devices affected by the virus n, in thousands, as a function of t days after it was discovered is n(t)=235(1.24)t. Interpret the rate of change within the context of this situation.


a) The number of devices infected with the virus increases by 24% each day.


b) The number of devices infected with the virus increases by 24% each hour.


c) The number of devices infected with the virus decreases by 76% each day.


d) The number of devices infected with the virus is 235,000 when the virus was discovered.

Answers

Answer:

The number of devices infected with the virus increases by 24% each day.

Step-by-step explanation:

Have a nice day! ♡

3x+2y <
11 2x-y<9
Does this graph match this equation?

Answers

Answer:

No.

Step-by-step explanation:

3x+2y<11 doesn't have a y-intercept of 6 and doesn't have a x-intercept of 4.

2x-y<9 is not the same direction as 3x+2y<11.

substitute for A,P and T in the fomula A=P (1+r)^t,give that A=1 000 000,P=10 000 and T=2,and express as a quadratic equation​

Answers

A = 10,00,000

P = 10,000

T = 2

1000000 = 10000(1+r/100)^2

1000000 = 10000((100 + r)/100)^2

1000000 = 10000× 100 + r/100 × 100 + r/100

1000000 = 10000 + r^2

1000000 - 10000 = r^2

990000 = r^2

√99000 = r

Quadratic Equation

10000(1+r/100)^2

Stuck on this one!!

Shelly believes the honor roll students at her school have an unfair advantage in being assigned to the math class they request. She asked 500 students at her school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?" The results are shown in the table below:

Honor roll Not on honor roll Total
Received math class requested 125 215 340
Did not get math class requested 80 80 160
Total 205 295 500

Help Shelly determine if all students at her school have an equal opportunity to get into the math class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.

Answers

Answer: No, there isn't equal opportunity

======================================================

Explanation:

Let's define the two events

A = person is on the honor rollB = person got the math class they requested

From the table, we see that

P(B) = 340/500 = 0.68

meaning that there's a 68% chance of picking someone who got the class they wanted (i.e. 68% of the people got the class they wanted)

------------

Now let's assume that the person is on the honor roll. This means we only focus on the "honor roll" column. There are 125 people here that got the class they wanted out of 205 honor roll students total.

So,

P(B given A) = 125/205 = 0.609756

which rounds to 0.61

This says that if a person is on the honor roll, then they have roughly a 61% chance of getting the class they want.

The chances have gone down from 68% to 61% roughly.

------------

It appears that being on the honor roll does affect your chances of getting into the class you want.

Therefore, all students do not have the same equal opportunity.

We would need to have P(B) and P(A given B) to be the same exact value for true equal opportunity to happen.

All students do not have equal opportunity.

From the table, we have the following parameters:

205 people are on honor roll call340 people got the math class requested500 people were surveyed

The above means that:

The probability that a person is on honor roll call is:

p1 = 205/500

p1 = 0.41

The probability that a person got the math class requested

p2 = 340/500

p2 = 0.68

Both probabilities are not equal.

Hence, it is true that all students do not have equal opportunity.

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A city has a population of 220,000 people suppose that each year the population grows by 8.75% what will the population be after 12 years

Answers

The question is wrong since population is not counted in points . for question like these use formula :P(1+R/100)^t where p is current population,r is rate and t is time.

Please help im begging you

Find the domain of the function expressed by the formula:
y = 1/x - 7

Answers

Answer:

the domain is ALL reals numbers except ZERO

- ∞ < x < 0    ∪   0 <  x < ∞

Step-by-step explanation:

Answer:

(-∞,0) ∪ (0,∞), {x|x≠0}

Step-by-step explanation:

I think this is it. Im not completely sure though

6. If gallon A has 8L of water and gallon B has 800 ml of water, calculate the total volume of water in both the gallons.​

Answers

Answer:

send me again I can't understand question

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