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
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
A kite is shown below with given dimensions in inches. What is the area in square units
Answer:
320
80
Step-by-step explanation:
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
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:
Write an equation to represent the total cost y for x days of renting a mid-size car from each of these companies. *
Answer:
Step-by-step explanation:
Hindi ko alm hehe
#5
(10 pts) You are jumping on a trampoline. For one jump, your height y (in feet) above the trampoline after t seconds can
be represented by y = -16t² + 24t. How many seconds are you in the air?
Answer:
1.5 seconds
Step-by-step explanation:
i took a test with the same question
Answer:
1.5
Step-by-step explanation:
taking the test
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.
I am 20 years older than twice my daughter's age how old is my daughter you should already know my age in the last problem
17 years ago I was half the age I am now how old am I
this question is 100 points
Answer:
You are 34 years old
Step-by-step explanation:
Because, 34-17=17
17 is half of 34.
2x+20=y
y-17=0.5y
+17 +17
y=0.5y+17
2(0.5y+17)+20=0.5y+17
y+34+20=0.5y+17
y+54=0.5y+17
y=34
Answer:
Step-by-step explanation:
x= "I" age
x is 20 years older than x's daughter's age.
To find out daughter's age = 17x2 (34)
34-20 = 14
The daughter is 14.
Please help i will give branliest!!!
Answer:b
Step-by-step explanation:
3.5*5*.5=8.75
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 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
Which one is a unit rate?
sk
5 pounds in 2 bags
15 miles per gallon
$8.00 for 3 boxes of oranges
22gallons of water in 5 days
Express as a difference: a+b, a+5
Answer:
a - (-b), a - (-5)
Step-by-step explanation:
A double negative negative is a positive, so a - (-b) = a + b, and a - (-5) is a + 5. However, a double negative is still a difference, so this answer works.
Answer:
The answer is a-(-b)
Step-by-step explanation:
It says difference, so you delete plus sign with minus sign
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.
m∠IJK=155° and m∠ZJK=35°. Find m/∠IJZ
math HELPPP MEEEEEEEE
Answer: I HAVE YOUR ANSWER!!!!!
Step-by-step explanation:
51x + 26y + 17
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]
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.
Help ?? Anyone and how
Answer:
just insert the x numbers in the calculation.. so for x = - 3 - > (- 3) / 2 +4 = 2.5
Step-by-step explanation:
x - 2 = y 3
and so on
Is the sum of the
angle measures always equal to the
sum of the arc measures
Yes or no ?
what is 1+1? pls, I need help. its for school
Answer:
its 2 :)
Step-by-step explanation:
Answer:
oh what a stiff XD
Step-by-step explanation:
ok 1+1=2 lol ❤️✌️ hey where you from I'm anmol kulkar from India
Simplify the expression 1/2(h+4) - 1/8(h+4) by combining like terms.
A. 1/6 (h+4)
B. 3h/8 + 2/10
C. 3/8 (h-4)
D. 3/8 (h+4)
WILL GIVE BRAINLIEST IF THE ANSWER IS CORRECT.
Answer:
3h/8+3/2
Step-by-step explanation:
Answer:
D. should be the correct answer.
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]
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
Can someone please help me I’m it’s kinda blurry but you have to zoom in
Answer:
1 is x=53
2 is x=37
3 is x=45
4 is x=180
5 is x=130
6 is x=90
7 is x=15
8 is x=60
9 is x=20
10 is x=140
11 is x=47
12 is x=18
Step-by-step explanation: These can all be solved using vertical angles, complimentary angle theorem, and supplementary angle theorem! Really fancy names to say that opposite angles are equal, vertical angles (like #5). Two angles that add up to 180 degrees forming a straight line, complimentary angles (like in #1). And in a right angle two angles will always add up to 90 degrees (#7 for example). 10 11 and 12 require you to use vertical angles and complimentary angles to solve them.
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
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
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