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

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.

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

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

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

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.

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

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.

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

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.

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

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:

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

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.

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

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

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]

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.

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

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

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

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]

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!

5(t+4) please heelllpppp

Answers

Answer:

5t+20

Step-by-step explanation:

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

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.

what is the slope of the line y=4?

Answers

Answer:

there is no slope, or a slope of 0.

Step-by-step explanation:

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.

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:

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]

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

Other Questions
students recorded the total number of pages and chapters in each of several books on the scatterplot. Based on the sbcatterplot, which is the best prediction of the number of chapters in a book with 200 pages Tone is _________________answer choicesthe authors attitude toward the subject he/she is writing aboutThe deep message the author wants us to understandThe way the characters interactNo answer text provided. Which gene mutation would have the greatest impact on a protein's amino acid sequence? Need help fast!!!!!!! Using Pascal triangle, write down the binomial expansion of [tex] {(1+y)}^{8} [/tex]simplifying all the terms. What is (10x+30)+(7x+14) ? What is 3/4 divided by 2 The United States did NOT want Japan to follow in the footsteps of China and Vietnam and set up a _________ government. DemocracticCommunistTheocratic Two trains, train a and train , weigh a total of 466 tons. Train A is heavier than train b. The difference of there weights is 326 tons. What is the weight of each train Measurements show that unknown compound X has the following composition:element mass %carbon 74.8% hydrogen 25.1%Write the empirical chemical formula of X. please help please help me !! find the missing side and round to the nearest tenth !! Can anybody that speaks Spanish or is good with it help me out with this work? ABC is reflected over the y-axis what are the vertices of A'B'C' Please help this is for my final Explain why the relation represented by each equation is or is not linear.a. y=2+3xb. y=2x(x - 5) - 2x2C. y=4x2d. y= 500Please help T-T PLS HELP I NEED HELP QUICK THNX Find the X & Y value Rebounding is the art of anticipating, of always being prepared to grab it. But you cant drop the ball.What does it mean to you? 5-6 sentences, please La poesa es una serie de explicaciones de la vida que se esfuman en horizontes demasiado rpidos para explicaciones.expliquen esta frase pls what is your first step when solving x/15 = 3/5? ExplainI need this by tonight describe the steps that occurs in the process of fission