The following data were given in a study of a group of 1000 subscribers to a certain magazine. In reference to job, marital status, and education, there were
312 professionals,
470 married persons,
525 college graduates,
42 professional college graduates,
147 married college graduates,
86 married professionals,
25 married professional college graduates.
(i) Let a person be picked at random. Determine the probability that the person is married or professional or college graduate.
(ii) Explain why the numbers reported in the study must be incorrect.

Answers

Answer 1

Answer:

[tex](a)[/tex]  [tex]P(M\ or\ P\ or\ C) = 1.307[/tex]

(b) See Explanation

Step-by-step explanation:

Given

[tex]P = 312[/tex] ---- Professionals,

[tex]M = 470[/tex] ----- Married persons,

[tex]C = 525[/tex] ---- College graduates,

[tex]PCG = 42[/tex]  ----- Professional college graduates,

[tex]MCG = 147[/tex] ----- Married college graduates,

[tex]MP = 86[/tex]  ---- Married professionals,

[tex]MPCG = 25[/tex] ---- Married professional college graduates

[tex]Total =1000[/tex]

Solving (a): P(M or P or C)

This is calculated as:

[tex]P(M\ or\ P\ or\ C) = P(M) + P(P) + P(C)[/tex]

[tex]P(M\ or\ P\ or\ C) = \frac{n(M) + n(P) + n(C)}{Total}[/tex]

[tex]P(M\ or\ P\ or\ C) = \frac{470 + 525 + 312}{1000}[/tex]

[tex]P(M\ or\ P\ or\ C) = \frac{1307}{1000}[/tex]

[tex]P(M\ or\ P\ or\ C) = 1.307[/tex]

(b) In probabilities, the probability of an event or collection of events must not exceed 1 and must not go below 0.

In (a) above, the calculated probability exceeds 1.

Because of this single reason, the collected data is incorrect


Related Questions

what is the sum of 6 1/2 + 2 1/3

Answers

Answer:

8 5/6

common denominator

Answer:

8 5/6

Step-by-step explanation:

Need help on this question!
Award brainliest!!!
Thanks!

Answers

Answer:

Quintrell's number is 9.

Step-by-step explanation:

Let [tex]x[/tex] be equal to Quintrell's number.

"When 35 is added to my number, the answer is 4 times my original number plus 8."

[tex]35+x=4x+8[/tex]

Subtract both sides by [tex]x[/tex]

[tex]35+x-x=4x+8-x\\35=3x+8[/tex]

Subtract both sides by 8

[tex]35-8=3x+8-8\\27=3x[/tex]

Divide both sides by 3

[tex]\frac{27}{3} =\frac{3x}{3} \\9=x[/tex]

Therefore, Quintrell's number is 9.

I hope this helps!

SOMEONE PLZ ANSWER THIS FAST

Kevin can walk 14 miles in 5 hours. How far can he walk in 3 1/2 hours?

Answers

Answer:

9.8  miles

Step-by-step explanation:

14/5= 2.8mph

2.8*3.5= 9.8 miles in 3.5 hours

1/3 and 2/6 how is each pair equivalent?

Answers

Answer:

By multiple by 2

Step-by-step explanation:

1 multiplied by 2 = 2

3 multiplied by 2 = 6

In that case they equivalent due to the number 2.

A number more than nine is more than twenty.

write as an inequality

Answers

Answer:

I think it is 20 < x > 9. But I am not completely sure.

Plot the zeros of this function:

f(x) = (x – 1)(x – 7).

Drawing Tools
Click on a tool to begin drawing.

Answers

The zeros are 1 and 7

8 1/3 33/4 8.287 8.29 order from least to greatest

Answers

Answer:

33/4 - 8.287 - 8.29 - 8 1/3

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

pls can i get brainliest it took soo long to figure out

find the area of 12m and 8m​

Answers

Answer:

Hiya!!

12m * 8m = 96m

Step-by-step explanation:



[tex] \frac{2}{6 } + \frac{1}{4} = [/tex]
how do we solve?

Answers

Answer:

7/12

Step-by-step explanation:

We cannot add fractions without the same denominator. 4 does not equal 6

ok

2/6 is the same as 4/12 because we multiply proportionately

we multiply the numerator and denominator by the same factor

2/6 x 2/2 = 4/12

now 1/4 is the same as 3/12 because we multiply by 3x3

(realize something we are not changing the value of the fraction. 2/2 is the same as 1 and 3/3 is also the same as 1)

now they have the same denominator

4/12 + 3/12+ = 7/12

The hypotenuse is NOT:

Answers

Answer:

NOT found in obtuse triangles

Step-by-step explanation:

you only talk about hypotenuse, adjacent, and opposite in right triangle

US
Find the measure of 48.
48
97/83
97
48 = [?]
Enter

Answers

it’s 83°

step by step :

PLEASE HELP!!!50 POINTS!!GIVING BRAINIEST!!!Noah is helping his band sell boxes of chocolate to fund a field trip. Each box contains 20 bars and each bar sells for $1.50.
boxes sold (b) money collected (m)
1 $ ?
2 $ ?
3 $ ?
4 $ ?
5 $ ?
6 $ ?
7 $ ?
8 $ ?
b. Write an equation for the amount of money, m, that will be collected if b boxes of chocolate bars are sold.

c. What is the independent variable? (m or b?) What is the dependent variable?(m or b?)

d. Write an equation for the number of boxes, b, that were sold if m dollars were collected. (use / to show division)

e. What is the independent variable?(m or b?)
What is the dependent variable? (m or b?)

Answers

i might have read this problem wrong since i didnt get a clear understanding because of the wording of this problem but i will do the best i can!

step-by-step explanation:

first step is to make a table! and ill just make one on here so you can get a better understanding on this problem :)

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

| boxes sold (b) | money collected (m) |

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

|    1    |          1.50           |

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

|    2    |          3           |

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

|    3    |          4.50            |

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

|    4    |          6           |

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

|   5    |          7.50           |

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

|   6    |          9           |

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

|   7    |          10.50           |

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

|   8    |          12           |

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

(b * 1.50) = m

the independent variable = boxes sold (b)

the dependent variable = money collected (m)

hope this helps you and please tell me if i did something wrong or if you need extra help understanding this problem! :)


A line passes through the point (-8, -7) and has a slope of 5/4

Write an equation in slope intercept form for this line


Plzzz help

Answers

Answer:

y = 5/4x + 3

Step-by-step explanation:

Find the GCF of each pair of monomials.

1. 20, 45x

2. 15r, 25

3. 8xy, 14x

4. 16mn, 24m

5. 25f, 60g

6. 33c, 55cd​​

Answers

1. 5
2. 5
3. 2x
4. 8m
5. 5
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Answers

Its the second one............

Round the number 52.810 to the nearest hundredth.

Answers

Answer:

rounded to the nearest hundredth it would be 52.81

Answer:

52.81

Step-by-step explanation:

Rounded to nearest hundreth

PLEASE HELP MEEE
I will give a crown to the right answer

Answers

your answer is b. hope this helps!

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Answers

2560 fluid ounces in pints is 160 which is A.

If this is incorrect, please don't refrain to tell me and I'll correct my answer. Thank you.

The area of the triangle below is 3/25 square feet. What is the length of the base? Express your answer as a fraction in simplest form.
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Answers

Answer:

b = 0.6 ft

Step-by-step explanation:

area = 3/25

area = 1/2bh

3/25 = 1/2b(2/5)

1/2b = (3/25)/(2/5) = 15/50 = 3/10 or 0.3

b = 2(0.3) = 0.6 ft

The length of the base as a fraction in the simplest form is 3/5 feet.

What is a Triangle?

Every three-sided polygon having three edges and three vertices is referred to as a triangle in geometry. The most important attribute of a triangle is that its interior angles sum to 180 degrees. This characteristic is known as the triangle's angle sum property. Every triangle has a length, base and height.

As per the given data:

Area of the triangle (A) = (3/25) sq feet

Height of the triangle (h) = (2/5) feet

A = (1/2) × base × height

(3/25) = (1/2) × base × (2/5)

base = (3 × 2 × 5)/(25 × 2)

base = 15/25

base = 3/5 feet

Hence, the length of the base as a fraction in the simplest form is 3/5 feet.

To learn more on Triangle, click:

brainly.com/question/19976619

#SPJ3

I need help please!!

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Answer:

Sorry I could only find the answer to the second part.

y=56x

A quadrilateral has one pair of parallel sides with lengths 134 inches and 114 inches, and two angles that each measure 36°.

Answers

Answer:

Explanation:

1) The two parallel sides of different legths 1\frac{3}{4}143 and 1\frac{1}{4}141 constitute the bases of a trapezoid.

2) The two equal anglesare the base angles of the trapezoid, and mean that it is an isosceles trapezoid.

An isosceles trapezoid is truncated isosceles triangle.

The definition of trapezoid is a quadrilateral with at least two parallel sides.

The drawing is attached: only the green lines represent the figure, the dotted lines just show how this is derived from an isosceles triangle.

Kelly flies a distance of 2,100 miles. the trip takes 4 2/3 hours
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Answers

Answer: A=450

Step-by-step explanation:

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Answers

Answer:

x= 12

Step-by-step explanation:

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NEED HELP ON THIS ASAP

Answers

Answer:

CosF=A/H

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Q. A mechanic has a radiator hose that
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Answers

B 6 whole peices

explanation

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Answer:

hi how may i help

Step-by-step explanation:

how can i help u

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Answers

There is no picture or context
If you put a picture or explain I could of maybe help you!!!

True or False: 53 = 15

Answers

Answer:

false

Step-by-step explanation:

53 doesn't have the same value as 15. sorry if this is wrong or not helpful.

The dimensions of a rectangular pool table are: (x + 4)(x + 10), What is the area of the table?

Answers

Answer:

D. x^2 +14x + 40

Step-by-step explanation:

(x+4)(x+10)

x^2+10x+4x+40

x^2+14x+40

Answer:

d) x^2+14x+40

Step-by-step explanation:

You gotta multiply (x + 4)(x + 10)

4. According to the graph above, which of
the following best represents the number of
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calorie diet should consume?
A. 450
B. 550
C. 625
D. 650

Answers

The answer to this is D!!!!

Answer: B:550.                  You do percent over 100 equals part over whole.you put 25 as your percent over 100 then you put 2,200 as your whole put x on part then you multiply 25x2,200=55,000 then you dived 55000 and 100 and you get 550

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