A local country club has a membership of 600 and operates facilities that include an 18-hole championship golf course and 12 tennis courts. Before deciding whether to accept new members, the club president would like to know how many members use each facility. A survey of the membership indicates that 75% use the golf course, 50% use the tennis courts, and 5% use neither of these facilities. One club member is chosen at random. What is the probability that the member uses the golf course but not the tennis courts

Answers

Answer 1

Answer:

0.45 = 45% probability that the member uses the golf course but not the tennis courts

Step-by-step explanation:

I am going to solve this question using the events as Venn sets.

I am going to say that:

Event A: Uses the golf courses.

Event B: Uses the tennis courts.

5% use neither of these facilities.

This means that [tex]P(A \cup B) = 1 - 0.05 = 0.95[/tex]

75% use the golf course, 50% use the tennis courts

This means, respectively, by:

[tex]P(A) = 0.75, P(B) = 0.5[/tex]

Probability that a member uses both:

This is [tex]P(A \cap B)[/tex]. We have that:

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

So

[tex]P(A \cap B) = 0.75 + 0.5 - 0.95 = 0.3[/tex]

What is the probability that the member uses the golf course but not the tennis courts?

This is [tex]P(A - B)[/tex], which is given by:

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

So

[tex]P(A - B) = 0.75 - 0.3 = 0.45[/tex]

0.45 = 45% probability that the member uses the golf course but not the tennis courts


Related Questions

5(t+4) please heelllpppp

Answers

Answer:

5t+20

Step-by-step explanation:

The function for the cost of materials to make a hat is f(x)=1/2 x+1 where x is the number of hats. The function for the selling price of those hats is g(f(x)) where g(x)=x+2 find the selling price of 10 hats???​

Answers

Answer:

Step-by-step explanation:

g(f(10)) = g(½·10+1)

= g(6)

= 6+2

= 8

Answer:

the answer is 10

Step-by-step explanation:

When the polynomial 4x4–13x2–2x + 1 is divided by the polynomial x –2, what is the remainder?
A) -23
B) 1
C) 9
D) 17

Answers

Step-by-step explanation:

answer is C

the process is shown in picture


The answer is either A or D

Which is NOT a line of symmetry?

Answers

Answer is 3. If you fold the triangle like the the point of the triangle will be hanging off the bottom bc it is not symmetrical.

m∠IJK=155° and m∠ZJK=35°. Find m/∠IJZ

Answers

120° because 155-35=120 since IJZ is inside the IJK so you would have to subtract the ZJK from the IJZ.

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

No solutions.

Step-by-step explanation:

No solutions because these two lines are parallel.

You can tell by the slopes. Both slopes are equal -3.

The -2 and [tex]\frac{5}{8}[/tex] vertically shift the lines.

Answer this correctly I’ll give brainalist + 10 points

Answers

Answer: 118

Step-by-step explanation:

These angles are a linear pair. They sum to 180 degrees.

62 + x = 180

-62 -62

X= 118

Answer part C. I want step by step on this problem.

Answers

Answer:

[tex]Rate = 58007956.5217[/tex]

Step-by-step explanation:

Solving (c): The rate of change:

In this concept, the formula to use is:

[tex]Rate = \frac{V2 - V1}{t2 - t1}[/tex]

Where

[tex](t1,v1) = (0,62817000)[/tex] ----- In 2004

[tex](t2,v2) = (23,1397000000)[/tex] ------ In 2026

So, we have:

[tex]Rate = \frac{1397000000 - 62817000}{23 - 0}[/tex]

[tex]Rate = \frac{1334183000}{23}[/tex]

[tex]Rate = 58007956.5217[/tex]

pls answer for me I mark Brainlest​

Answers

Answer:

B. 54

Step-by-step explanation:

For surface area you have to plug in the side length to the Surface area equation being: A=6a^2

When you plug 3 in for a, you get 54

Hope this helped!

Determine the equivalent system for the given system of equations.


4x − 5y = 2

10x − 21y = 10


A. 4x − 5y = 2

3x − y = 4

B. 4x − 5y = 2

24x − 47y = 22

C. 4x − 5y = 2

10x + 3y = 15

D. 4x − 5y = 2

14x + 26y = 12

Answers

Answer:

B) 4x − 5y = 2

24x − 47y = 22

the speed of the current in a creek is 2 mph. A person can kayak 4 mi upstream in the same time that it takes him to kayak 8 mi downstream. What is the speed of the persons kayak in still water?

Answers

Answer:

I think 6 mph

Step-by-step explanation:

I needore characters so ingnor this sentence.

Both Dominic and Zoe are 4 feet 6 inches tall. What is their combined height in inches?

Answers

Answer:

Their combined height is 108 inches

Step-by-step explanation:

1 ft = 12 inches

12 * 4 = 48 inches

48 + 6 = 54 inches

54 * 2 = 108 inches

Answer:

9 ft and 0 inches

Step-by-step explanation:

4 ft 6 inch + 4 ft 6 inch = 8ft 12inch

12 inches = 1 foot

8 ft + 1 ft = 9ft

Someone please help me

Answers

Answer:

6) K is less than negative seven.

7) m is less than or equal to two and three fifths.

Step-by-step explanation:

6) K is less than negative 7
8) m is less than or equal to negative two and three over five

An insurance company divides its policy holders into three categories: low risk, moderate risk, and high risk. The low-risk policy holders account for 55% of the total number of people insured by the company. The moderate-risk policy holders account for 25%, and the high-risk policy holders account for 20%. The probabilities that a low-risk, moderate-risk, and high-risk policy holder will file a claim within a given year are respectively 5%, 15% and 60%. Given that a policy holder files a claim this year, what is the probability that the person is a moderate-risk policy holder?

Answers

Answer:

0.2027 = 20.27% probability that the person is a moderate-risk policy holder

Step-by-step explanation:

Conditional Probability

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

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

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

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Policy holder files a claim.

Event B: The person is a moderate-risk policy holder.

Probability of filling a claim:

5% of 55%(low risk)

15% of 25%(moderate risk)

60% of 20%(high risk).

So

[tex]P(A) = 0.05*0.55 + 0.15*0.25 + 0.6*0.2 = 0.185[/tex]

Files a claim and is moderate risk:

15% of 25%(moderate risk)

So

[tex]P(A \cap B) = 0.15*0.25 = 0.0375[/tex]

Given that a policy holder files a claim this year, what is the probability that the person is a moderate-risk policy holder?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0375}{0.185} = 0.2027[/tex]

0.2027 = 20.27% probability that the person is a moderate-risk policy holder

a snowboard at a local shop normally cost $400 over a Labor Day weekend the snowboard is on sale for 60 60% off what is the sale price of the snowboard​

Answers

Answer:

240

Step-by-step explanation:

If I worked 7:30pm and got out at 6am how many hours did I worked

Answers

Step-by-step explanation:

you have worked for 10 and a half hours I.e 10½ hours

Your test scores in one class are 79 and 83. What possible scores can you earn on your next test to have a test average between 81 and 87, inclusive?

Answers

Answer:

83 and 84

Step-by-step explanation:

these numbers will both work because if you make an equation 79+83+x=y, with 87≥y≥81, and plug in these numbers for x, the answers are around 82 which is within the range.

SO BAD RN SMH SMH...HELP ME WITH MATH
4 x 2 - 5 + 63 + 1 =

Answers

Answer:

67

Step-by-step explanation:

4x2= 8-5= 3 + 63 = 66 + 1 = 67

What is the volume of the triangular prism?
A) 12 cm3
B) 18 cm3
C) 24 cm3
D) 48 cm3

Answers

Answer:

I believe that the volume of the triangular prism is 24 cm

Corrie breathed 1 × 10^7 times in a year. She blinked 8 × 10^6 times that year. How many more times did Corrie breathe in a year than she blinked in that year? Write your answer in standard notation

Answers

Snskskskjssksj28828384838188:$2&82:&/&:&

Step-by-step explanation:

1 × 10 ^7 - 8 × 10 ^ 6

2 × 10 ^ 6 which is also equivalent to 2,000,000

Jason wants to score at least 15 points in his basketball game. He scored 8 points in the first half of the game. He needs to score b points to reach his goal. Which inequality can be used to find the possible values for b?
A. b +8 ≥ 15
B. b +8 > 15
C. b - 8 ≤ 15
D. b - 8 < 15

Answers

Answer:

A.

Step-by-step explanation:

Let's say that b=7. This would mean that he has equaled his goal. If it is greater than 7, the equation still makes since.

Which statements are true??

Answers

A is true, B is false, C is false, D is true and E is true :]
True false false true and true

2. In triangle ABC, SA is a right angle, and m B = 45°
(1 point)
C
16 ft
A
B.
What is the length of BC? If your answer is not an integer, leave it in simplest radical form.
O 16 ft
O 16.2 ft
O 16.5 ft
O 32 ft

Answers

Answer:

[tex]16\sqrt{2}[/tex]

Step-by-step explanation:

The given triangle shown is a 45-45-90. We can use this picture attached to figure out BC.

n in this case is 16ft

Based on the picture, we can get BC's length, which is n[tex]\sqrt{2}[/tex]

BC = [tex]16\sqrt{2}[/tex]

Help me me please now

Answers

Answer:

AAA

Step-by-step explanation:

The AAA (angle-angle-angle) theorem proves they have 3 congruent angles, but not congruent sides.

What are the first four terms of a geometric sequence if its common ratio is 4 and its first term is 3.2?

Answers

Answer:

3.2, 12.8, 51.2,204.8

Step-by-step explanation:

simply use the common formula of geometric series:

tn= a.r^(n-1)

where, tn= nth term (term whose value you want to obtain)

a= first term

r= common ratio

n= nth value

The difference between one-third of a number and 11 is 10 in number form

Answers

1/3n - 11 = 10
1/3n = 21
n= 21x 3
n = 63

Answer:

63

Step-by-step explanation:

The difference between one-third of a number and 11 is 10. x = 3*21, x = 63.

what is the slope of the line y=4?

Answers

Answer:

there is no slope, or a slope of 0.

Step-by-step explanation:

You have different lengths of material to use for a craft project:

0.93m 1.24m 0.62m 3.41m 1.5m 1.4m

Convert each length to centimetres, and then add them together to correctly calculate the total length.

Answers

Answer:

[tex]Lengths: 93cm, 124cm, 62cm, 341cm, 150cm, 140cm[/tex]

[tex]Total := 910cm[/tex]

Step-by-step explanation:

Given

[tex]Lengths: 0.93m, 1.24m, 0.62m, 3.41m, 1.5m, 1.4m[/tex]

Required

Convert to length and calculate the total

To calculate to centimeters, we simply multiply each length to 100.

So, we have:

[tex]Lengths: 0.93m, 1.24m, 0.62m, 3.41m, 1.5m, 1.4m) * 100[/tex]

[tex]Lengths: 93cm, 124cm, 62cm, 341cm, 150cm, 140cm[/tex]

The total is:

[tex]Total := 93cm+ 124cm+ 62cm+ 341cm+ 150cm+ 140cm[/tex]

[tex]Total := 910cm[/tex]

in a grocery store, a $21 case of toilet paper is labeled, “get a 20% discount” what is the discount? what is the sale price of the toilet paper?

Answers

Answer:

$16.8

Step-by-step explanation:

put 20% into decimal form 20/100 = 0.2

0.2 x 21 = $4.2

21-4.2 = $16.8

The Discount will be "$4.2" and the Sale price will be "$16.8".

According to the question,

Labeled case of toilet paper,

$21

Get discount,

20%

or,

0.2

Now,

20% of $21 will be:

= [tex]0.2\times 21[/tex]

= [tex]4.2[/tex] ($) (Discount)

→ The sale price will be:

= [tex]Labeled \ case - Discount[/tex]

By substituting the values, we get

= [tex]21-4.2[/tex]

= [tex]16.8[/tex] ($)

Thus the above approach is right.

Learn more:

https://brainly.com/question/11672774

If lin has at most 20 dollars in his pocket can he have 10 dollars?

Answers

Answer:

Yessir

Step-by-step explanation:

Answer:

Yes!!

Step-by-step explanation:

Yes, Lin can have 10 dollars in his pocket

We know that 10[tex]\leq[/tex]20 so therefore it is possible for him to have $10

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