The complete question is;
Five people buy individual insurance policies. According to the research, the probability of each of these people not filing a claim 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
Answer:
1) P(all 5 file no claim after 5 years) = 0.132
2) P(exactly 3 file claim after 5 years) = 0.033
Step-by-step explanation:
1) we are told that the probability of each of these people not filing a claim for at least 5 years is 2/3.
Thus, for all 5 of them,
The probability will be;
P(all 5 file no claim after 5 years) = (2/3)^5 = 0.1317 ≈ 0.132
2) since probability of each not filing a claim for last 5 years = 2/3
Then probability of each filing a claim after 5 years = 1 - 2/3 = 1/3
So, P(exactly 3 file claim after 5 years) = (1/3)^3 ≈ 0.037.
The closest answer is 0.033.
The table have the following results:
Hearts – 7
Diamonds – 4
Clubs – 8
Spades – 5
There is a total of 24
The question is asking for the probability of not
selecting a heart.
So we need to add the probabilities of the diamonds,
clubs, and spades since these suits are different from hearts.
So = 4 + 8 + 5 = 17
And we have a total of 24 cards
<span>Therefore the probability is 17/24. </span>
Answer:
B) 5 + 17i is your answer.
Step-by-step explanation:
In order to write this equation as a complex number in standard form, you must first simplify each term.
<em>Apple the distributive property.</em>
21 - 4i - 1 * 16 - (7i) + 28i
<em>Multiply -1 by 16.</em>
21 - 4i -16 - (7i) + 28i
<em>Multiply 7 by -1.</em>
21 - 4i - 16 - 7i + 28i
<em>Now simplify by adding terms :)</em>
<em>Subtract 16 from 21.</em>
5 - 4i - 7i + 28i
<em>Subtract 7i from -4i.</em>
5 - 11i + 28i
<em>Add -11i and 28i.</em>
= 5 + 17i
Answer:
x = 7
y = 3/2 or 1.5 (IF THE ANGLE IS 30 BY THE RATIOS OF A RIGHT TRIANGLE.)
hope it's right
Step-by-step explanation:
FOR X:
Let's solve your equation step-by-step.
4x+3=31
Step 1: Subtract 3 from both sides.
4x+3−3=31−3
4x=28
Step 2: Divide both sides by 4.
4x/4=28/4
x=7
FOR Y:
Step 1: Simplify both sides of the equation.
(3)(7)+6y=30
21+6y=30
6y+21=30
Step 2: Subtract 21 from both sides.
6y+21−21=30−21
6y=9
Step 3: Divide both sides by 6.
6y/6=9/6
y=3/2
