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
Tom [10]
3 years ago
7

Five people buy individual insurance policies. According to the research, the probability of each of these people not filing a c

laim for at least 5 years is 2/3.
The probability that all 5 have not filed a claim after 5 years is A: 0.132 B: 0.868 C: 1 , and the probability that exactly 3 will have filed a claim after 5 years is A: 0.016 B: 0.033 C: 0.067 .
Mathematics
2 answers:
prohojiy [21]3 years ago
7 0

The first part is .132 and the second is .033

Arlecino [84]3 years ago
3 0
P(no claim after 5 years) = (2/3)^5 =  0.132
You might be interested in
Constructing a brick staircase: A brick staircase has a total of 30 steps. The bottom step requires 100 bricks. Each successive
galben [10]
A) The first step needs 100 bricks, the second needs 98, the third needs 96, and so on. Therefore the number of bricks for the nth step is: a_n = a_1 + d(n-1), where a_1 = 100 (the first term), d = -2 (difference).
a_n = 100 - 2(n-1) = 102 - 2n, and for the 30th step, a_30 = 102 - 2*30 = 42. So the top step will need 42 bricks.

b) The total staircase will need: 100 + 98 + 96 + ... +  44 + 42, and there are n = 30 terms. Using the formula for the sum of an arithmetic sequence:
S = (a_1 + a_n)*n/2 = (100 + 42)*30/2 = 2130
Therefore, 2130 bricks are required to build the entire staircase.
7 0
3 years ago
A probability experiment is conducted in which the sample space of the experiment is upper s equals startset 4 comma 5 comma 6 c
olchik [2.2K]
The correct question statement is:

A probability experiment is conducted in which the sample space of the experiment is S = {4,5,6,7,8,9,10,11,12,13,14,15}. Let event E={7,8,9,10,11,12,13,14,15}. Assume each outcome is equally likely. List the outcomes in E^{c}. Find P(E^{c}).

Solution:

Part 1:

E^{c} means compliment of the set E. A compliment of a set can be obtained by finding the difference of the set from the universal set. The universal set is the set which contains all the possible outcomes of the events which is S in this case.

So, compliment of E will be equal to S - E. S - E will result in all those elements of S which are not present in E. So, we can write:

E^{c}=S-E \\  \\ 
E^{c}=(4,5,6,7,8,9,10,11,12,13,14,15)-(7,8,9,10,11,12,13,14,15) \\  \\ 
E^{c}=(4,5,6)

Thus the set compliment of E will contain the elements {4,5,6}.So

E^{c} = {4,5,6}

Part 2)

P(E^{c}) means probability that if we select any number from the Sample Space S, it will belong the set E compliment.

P(E^{c}) = (Number of Elements in E^{c})/Number of elements in S

Number of elements in set S = n(S) = 12
Number of elements in set E^{c} = n(E^{c})=3

So, 

P(E^{c})= \frac{n(E^{c}) }{n(S)} \\  \\ 
P(E^{c})= \frac{3}{12} \\  \\ 
P(E^{c})= \frac{1}{4}
7 0
3 years ago
Priya rode her bike 1250 feet. If her bike wheel has a diameter of 2.5 feet, how many times did her wheel make a full rotation?
Alex17521 [72]

Answer:

  • 159 times

Step-by-step explanation:

<h3>Given</h3>
  • d = 2.5 ft
  • Distance = 1250 ft
<h3>To find</h3>
  • Number of rotations
<h3>Solution</h3>

<u>Circumference of the wheel is the one full rotation:</u>

  • C = πd = 3.14*2.5 = 7.85 ft

<u>Number rotations:</u>

  • 1250/7.85 = 159.2

<u>Correct option is</u> 159 times

5 0
3 years ago
10. Make q the subject of the formula 5(q + p) = 4 + 8p
vichka [17]

The formula subject to q is \frac{4+3p}{5}

Explanation:

The given formula is 5(q+p)=4+8 p

We need to determine the formula subject to q.

<u>The formula subject to q:</u>

The formula subject to q can be determined by solving the formula for q.

Let us solve the formula.

Thus, we have;

5q+5p=4+8p

Subtracting both sides by 5p, we have;

5q=4+3p

Dividing both sides by 5, we get;

q=\frac{4+3p}{5}

Thus, the formula subject to q is \frac{4+3p}{5}

5 0
3 years ago
Forever 21 has a student discount of 7%. The total for your items is $24 what is your total after the discount?
Ksju [112]

Answer:

the answer is $22.32

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the area of polygon IJKL?
    8·2 answers
  • Write an equation of the line in point slop form that passes through the two given points
    5·1 answer
  • What do you call it when 50 people stand on a wooden dock
    11·2 answers
  • Simplify m3 + m3<br><br> And <br><br> Simplify 10+3c+5d-7c+d
    13·1 answer
  • Find the equation lines<br> (4, 5)(7, 3)
    7·1 answer
  • Consider the function f(x)=−2/3x+5 . What is f(1/2) ?
    10·2 answers
  • What is the value of 1 in 0.01?
    7·1 answer
  • Evaluate the algebraic expression w + 2z when w = 12, x = 10, y = 5 and z = 9. A. 35 B. 30 C. 28 D. 23
    8·2 answers
  • What is the product of 100 and 75
    14·2 answers
  • Try this B E Given: BELO, BOLE Prove ABEL ALOB Complete the Proof Statements 1. 2. BO=LE 3. 4. ∆BEL =∆LOB REASONS 1.GIVEN 2. 3.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!