1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gavmur [86]
3 years ago
5

(1) An insurance agency sells various types of insurance policies. 40% of their clients buy auto insurance policies, 30% of thei

r clients buy home insurance policies, and 15% of their clients buy both home and auto insurance policies. a. Compute the probability a randomly selected client buys a home or auto insurance policy.
Mathematics
1 answer:
yaroslaw [1]3 years ago
6 0

Answer:

55% or 0.55(as a decimal)

Step-by-step explanation:

40% of their clients buy auto insurance policies = P(A)

30% of their clients buy home insurance policies = P(H)

15% of their clients buy both home and auto insurance policies = P( A ∩ H)

The probability a randomly selected client buys a home or auto insurance policy = P (A ∪ H) is calculated as

P ( A ∪ H) = P(A ) + P ( H ) - P( A ∩ H)

= 40% + 30% - 15 %

= 70% - 15%

= 55%

Therefore, the probability that a randomly selected client buys a home or auto insurance policy is 55% or expressed as decimal = 0.55

You might be interested in
If 160 is divided by x, then the remainder is 4. What is the remainder when 315 is divided by x?
frutty [35]
Let us rewrite this equation as:
<em>160/x = some number + 4/x
</em>we can assume that some number of x's can fit into 160, but x is greater than 4 so we have a remainder.
We can figure out by using the remainder that x is completely divisible into (160-4) or 156. Knowing this we can assume that x is some factor of 156 that is greater than 4. 
Let us list the factors of 156
1,2,3,4,6,12,13,26,39,52,78,156
Now let us refer back to the restrictions we put on x.
<em>x must be > 4 as anything less than 4 would divide at least 1 more time into it. So now we are left with a bunch of other factors. And the cool thing is that all of the factors excluding anything that is = or < 4 all work for getting a remainder of 4. Thus we can use the largest factor and set it equal to x.
</em>So x = 156
then if we divide 315 by x or <em>315/x = 315/156 = 2 and a remainder of 3
so the answer would be 3.</em>
4 0
3 years ago
How would you solve this: x^2-9x+18
Ostrovityanka [42]
Hope this helps you!!!

7 0
4 years ago
Read 2 more answers
Is 678.05 greater than 67.805
Doss [256]
Yes 678.05 is greater than 67.805 (because obviously 678 is greater than 67 right? ^ - ^)
5 0
3 years ago
Read 2 more answers
Sherrell mowed 2/5 of the lawn and Trace power 1/3 of it. How much more of the lawn did Sherrell mow than Trace?
Sergeeva-Olga [200]
Sherrell mowed 1/15 more than Trace because when you convert the fractions to equivalent fractions with the same denominator, you get 6/15 and 5/15.
6 0
3 years ago
A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.49, 0.39
Lostsunrise [7]

Answer: cops are pigs

Step-by-step explanation: they smell like bacon

8 0
3 years ago
Other questions:
  • What is the answer for 3k+16=5k. Please show work.
    7·2 answers
  • After how many places the decimal expansion of 13/40 will terminate?
    6·1 answer
  • Can someone help me plssssssss<br> !!!!!!!!!!
    12·1 answer
  • A tiny area on a computer chip measures 2.3x10^-3mm by 1.7 x10^-4mm.
    12·1 answer
  • If you can read 18 words in 8 seconds how long does it take to read 63 words
    12·2 answers
  • 5th Grade Math (Please help, due today!)
    8·2 answers
  • Solve the equation <br> 7x^2+21=0
    12·1 answer
  • Evelia paid $70 for 8 movie tickets. Each ticket costs the same amount. What is the cost of each movie ticket in dollars and cen
    12·2 answers
  • What are the coordinates of the point on the directed line segment from (-10, 10)(−10,10) to (-5, 5)(−5,5) that partitions the s
    15·1 answer
  • Claire is a salesperson who sells computers at an electronics store. She makes a base pay of $80 each day and then is paid a $20
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!