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Lana71 [14]
3 years ago
10

Question 8 of 1010 Points

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
4 0

Answer:

C

Step-by-step explanation:

  • In a quadrilatteral PQRS,angle P and angle S are not opposite angles
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At a local company, 15% of the employees are women. every day, 9% of them bring their lunch to work, while only 3% of the men br
fenix001 [56]

Answer:

a) 0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.

b) 0.09 = 9% probability that a randomly selected employee brings their lunch to work given that person is a woman.

c) 0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

Questions a/c:

Questions a and c are the same, so:

Event A: Brings lunch to work.

Event B: Is a woman.

Probability of a person bringing lunch to work:

9% of 15%(woman)

3% of 100 - 15 = 85%(man). So

P(A) = 0.09*0.15 + 0.03*0.85 = 0.039

Probability of a person bringing lunch to work and being a woman:

9% of 15%, so:

P(A \cap B) = 0.09*0.15

Desired probability:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09*0.15}{0.039} = 0.3462

0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.

Question b:

Event A: Woman

Event B: Brings lunch

15% of the employees are women.

This means that P(A) = 0.15

Probability of a person bringing lunch to work and being a woman:

9% of 15%, so:

P(A \cap B) = 0.09*0.15

Desired probability:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09*0.15}{0.15} = 0.09

0.09 = 9% probability that a randomly selected employee brings their lunch to work given that person is a woman.

4 0
2 years ago
(10 POINTS) answer ASAP if you can
Goryan [66]
I think that the answer is R
8 0
3 years ago
Read 2 more answers
A taxi driver had 50 fares to and from the airport last Monday. The price for a ride to the airport is $10, and the price for a
Rina8888 [55]

Answer:

Number of Fares to airport is 25 and number of fares from airport is 25.

Step-by-step explanation:

Given:

Total Number of fares =50

Let number of fares to airport be x.

Let number of fares from airport be y.

hence the equation can be framed as;

x+y=50 \ \ \ \ equation \ 1

Also Given

Total Money Collected = $375

Cost to airport = $10

Cost from Airport = $5

Total Money Collect is equal to Cost to airport multiplied by number of Fares to airport plus Cost from airport multiplied by number of Fare from airport.

10x+5y=375

Dividing by 5 on both side we get;

2x+y = 75 \ \ \ \ equation \ 2

Now Subtracting equation 1 from 2 we get;

(2x+y)-(x+y)=75-50\\2x+y-x-y=25\\x=25

Substituting the value of x in equation 1 we get;

x+y=50\\25+y=50\\y=50-25\\y=25

Hence Number of Fares to airport is 25 and number of fares from airport is 25.

5 0
3 years ago
Round 8,764 to the nearest hundred
Zigmanuir [339]

Answer: 8,800

Step-by-step explanation:

Since the hundredth place is 764 we will round up to 800

which will give you 8,800!

Tip: Rounding the number up only takes place if the last two digits in the number are 50 or above.

If not, Round down if the last two digits in the number are 49 or below.

IF the last digits are 00 no rounding takes place.

5 0
2 years ago
Read 2 more answers
Will give brainliest!
muminat

Answer: Honey you have to do that no one on here can plus just a tip

(use a ruler it makes it easy)

7 0
3 years ago
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