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
The difference between one-third of a number and 11 is 10 in number form
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?
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??
What is the volume of the triangular prism?
A) 12 cm3
B) 18 cm3
C) 24 cm3
D) 48 cm3
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
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?
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?
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
Answer:
B) 4x − 5y = 2
24x − 47y = 22
m∠IJK=155° and m∠ZJK=35°. Find m/∠IJZ
Answer this correctly I’ll give brainalist + 10 points
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
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
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?
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?
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 =
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.
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
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
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
Step-by-step explanation:
answer is C
the process is shown in picture
What are the first four terms of a geometric sequence if its common ratio is 4 and its first term is 3.2?
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
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
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
Answer:
5t+20
Step-by-step explanation:
Someone please help me
Answer:
6) K is less than negative seven.
7) m is less than or equal to two and three fifths.
Step-by-step explanation:
Which is NOT a line of symmetry?
what is the slope of the line y=4?
Answer:
there is no slope, or a slope of 0.
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
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???
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.
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?
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,
$21Get discount,
20%or,
0.2Now,
→ 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