A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 14% of the employees needed corrective shoes, 21% needed major dental work, and 3% needed both corrective shoes and major dental work. What is the probability that an employee selected at random will need either corrective shoes or major dental work

Answers

Answer 1

Answer:

0.32 = 32% probability that an employee selected at random will need either corrective shoes or major dental work.

Step-by-step explanation:

We solve this question treating these events as Venn probabilities.

I am going to say that:

Event A: Needing corrective shoes.

Event B: Needing major dental work.

14% of the employees needed corrective shoes

This means that [tex]P(A) = 0.14[/tex]

21% needed major dental work

This means that [tex]P(B) = 0.21[/tex]

3% needed both corrective shoes and major dental work.

This means that [tex]P(A \cap B) = 0.03[/tex]

What is the probability that an employee selected at random will need either corrective shoes or major dental work?

This is:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So, from the values given by the exercise:

[tex]P(A \cup B) = 0.14 + 0.21 - 0.03 = 0.32[/tex]

0.32 = 32% probability that an employee selected at random will need either corrective shoes or major dental work.


Related Questions

What is 58.2 x 33.9 = ?​

Answers

Answer:

Fraction: 1972 and 49/50

Decimal: 1972.98

Step-by-step explanation:

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Answer:

A and D; she needs 1/12 cups of corn

Step-by-step explanation:

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Answer:

1. Area = 22cm square cm 2. Area = 9m square m 3. Area = 18m square mHope it help ♥ heart and vote po plz..

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Answer:

$79.38

Step-by-step explanation:

First find the area of the parallelogram: b*h

= 8.1* 3.5

= 28.35 square meters

now multiply by the cost (2.80) by 28.35 to get the final answer: 79.38

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4 i think sorry if i’m wrong

is -1 equivalent to -3 - (-12)

Answers

Answer:

no

Step-by-step explanation:

-1 - (-12)

the two negative signs before the 12 cancel out so it ends up being

-1+12

-1+12=11

11 and -1 are not equal to each other

Answer:

No

Step-by-step explanation:

-3-(-12)=-3+12

-3+12=9

PLS HELP!!

What is the volume, in cubic centimeters, of a cube with an edge length of 15
centimeters?

Answers

Answer:

3375

Step-by-step explanation:

The formula for volume is

volume = length x height x width

or in simpler terms (only works for cubes i think)

v = a^3

so we know that the side is 15cm long, so we substitute that back into the equation, so,

3375 = 15 x 15 x 15

or

3375 = 15^3

I hope that this helps you out :)

Which equation could be solved using this application of the quadratic formula? x = (- 3 plus/minus sqrt(3 ^ 2 - 4(1) * (24)))/(2(1)) A. x ^ 2 + 6x + 24 = 3x B 3x ^ 2 + 3x + 24 = 3 C. x ^ 2 + 3x - 24 = 3 D x ^ 2 + 3x + 24 = 3

Answers

Answer:

[tex]x^2 + 3x + 24 = 0[/tex]

Step-by-step explanation:

Given

[tex]x = \frac{-3\±\sqrt{3^2 - 4*1*24}}{2*1}[/tex]

Required

Select equation with the above solution

The solution is represented as:

[tex]x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

By comparison:

[tex]b= 3[/tex]       [tex]a = 1[/tex]       [tex]c = 24[/tex]

So, the equation is:

[tex]ax^2 + bx + c = 0[/tex]

[tex]x^2 + 3x + 24 = 0[/tex]

Which option best shows X ≤ -3

Answers

Step-by-step explanation:

the answer is b because the circle is filled with color as it should be and shows that x is equally to number 3 too

Answer:

yep, it's b.

Step-by-step explanation:

a line with a closed circle means that it's less than or equal to.

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Answers

Answer:

(-3,5) and (2,3). That's the answer. Plug this number and it would be fine

If 2x+y=16 and 4x-y, find the value of x and y​

Answers

Answer:

Step-by-step explanation:

A carpenter is putting a skylight in a roof. If the roof measures 10 + 8 by 8 + 6 and the skylight measures + 5 by 3 + 4, what is the area of the remaining roof after the skylight is built?
a. 77^2 + 115 + 68
b. 77^2 + 105 + 28
c. 83^2 + 115 + 68
d. 77^2 − 105 + 28

Answers

Yea what the other girl said

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=69°, and FD = 64 feet. Find the length of DE to the nearest tenth of a foot.

Answers

Answer:

Step-by-step explanation:

HELP PLZ and thank you

find the measure of the arc or central angle indicated. assume that lines which appear to be diameters are actual diameters.

Answers

Answer:

Step-by-step explanation:

Circle degrees total 360 .  

360 - 126 -54-54 (other side of vertical angles) equals 126 degrees left for the other two remaining sections.  

14x+4  +15x+6 =126

19x+10 = 126

29x = 116

x=4 .  answer .

-5n = 15
show your work

Answers

Answer: 15 divided by -5 = -3

Answer:

n=-3

Step-by-step explanation:

divide both sides

-5n/(-5)=15/(-5)

divide both sides

n=15/(-5)

n=-3

3(x - 2) – 2x + 3 = -12

Answers

Answer:

hii

Step-by-step explanation:

3(x-2)-2x+3=-12

3 times x = 3x

3 times -2 = -6

3x-6-2x+3=-12

3x + 2x = 5x

-6 + 3 =-3

i don't know the rest I'm sorry

the difference of 4 and 5 times h ​

Answers

Answer:

4-5h

Step-by-step explanation:

difference = minus sign

and 5 times h

Answer:

Step-by-step explanation:

There are two answers to this making the question slightly ambiguous.

1) 4 - 5*h

2) (4 - 5)*h

It is impossible to tell which answer is the correct one. However, if I had to guess, I would say it is 4-5*h

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Answers

Answer:

4,000 to the tenth power is 1.045876E36

Step-by-step explanation:

−4.5=−0.5(x−7.1)

solve for x and teach me how to give brainliest

Answers

-4.5 = -0.5 (x - 7.1)

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——————————
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———————
-0.5

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Answers

Answer:

40 min.

Step-by-step explanation:

5/25=1/5

1/5=0.2

8/0.2=40

Answer:

40 mins

Step-by-step explanation:

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PLEASE ANSWER ASAP WILL GIVE BRAINLIEST

Answers

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Answers

Answer:

3

Step-by-step explanation:

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slope

Answers

Answer:

0/8

Step-by-step explanation:

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Answers

Answer:

0.025

Step-by-step explanation:

Kim bought her Supreme shoes for $52 on eBay. She marks up the shoes to resell on GOAT for 120% of the price.



a) What is the amount of markup? $




b) What is the price of the shoes after markup? $

Answers

A) $10.40
B) $62.40
hope this helps!!

Answer:

a) $10.4

b) $62.4

Step-by-step explanation:

a) What is the amount of markup? $

$52 - 100%

$X   - 120%

100X = 52*120

100X = 6240

X = 6240/100

X = $62.4

62.4-52=

$10.4  

b) What is the price of the shoes after markup? $

$62.4

5/6 minus (- 3/4)
HELP PLS

Answers

Answer:

In order to solve this problem, you have to find the lowest common denominator.  Take multiples of both 6 and 4 and see which is the lowest you have in common.

4: 4, 8, 12, 16, 20

6: 6, 12, 18, 24

So 12 is the lowest common multiple....

5/6 x ?/? = ?/12 (you have to multiply the numerator and the denominator by the same number)

3/4 x ?/? = ?/12 (you have to multiply the numerator and the denominator by the same number)

When the denominators are the same, you can subtract the numerators.  The denominator will stay 12!

Step-by-step explanation:

YAY! I want a brain

Answer:

Exact Form: 19/12

Decimal form:1.583

Mixed number form: 1 7/12

Step-by-step explanation:

hope i was right!

calculate the volume of a liquid with a density of 5.45g/km and a mass of 65g ​

Answers

Answer:

11.93 ml

rounded to two significant figures: 12ml

Step-by-step explanation:

65/5.45=11.93 ml

Please mark me as brainliest

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Answers

Answer:

2x^4

Step-by-step explanation:

When multiplying variables with exponents multiply the coefficients (the number before the variable) and add the exponents.

SO to solve you have to find a number that when multiplied by 32 equals 64 and a number when added to 8 gives you 12.

2*32=64

8+4=12

So the answer is 2x^4

If this helped please consider giving brainliest.

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Answers

Answer:

16.2

Step-by-step explanation:

I think it is the answer. not sure

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Using L Hospital's rule, evaluate :
lim
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Answers

Answer:

0

Step-by-step explanation:

L Hospital's rule states that as long as u have the form

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In this case as X tends to 0, the numerator tends to 0

Denominator will also tends to 0.

We have the 0 / 0 form, which means we can take the derivative for its numerator and denominator which gives

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Based on this equation, as x tends to 0

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So we take its second derivative,

(2 - 2Cos2x) / 2

Now as x -> 0,

we will get (2 - 2)/2 = 0

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