Answer:
r=21.01 cm
Step-by-step explanation:
2r = diameter
Circumference of a circle = pi 2r
difference = 90
pi2r - 2r =90
2r (pi-1) =90
90/(2(pi-1) = r = 21.01 cm
Answer:
See explanation
Step-by-step explanation:
The ordered pair (25,20) shows that Chef Allen pays $20 for 20 pounds of beans. The ratio of pounds to dollars is

A. Another plotted points are (5,4), (10,8), (15,12) and (20,16). Find the ratio of pounds to dollars in each case:

All points show the same ratio.
B. The line connecting given points is the graph showing how much Chef Allen pays for different amounts of beans. This line starts at the origin (0,0) and passes through the points (5,4), (10,8), (15,12) and (20,16).
C. If he cost of 25 pounds of beans is $20, then the cost of 50 pounds of beans is $40.
Answer:
B 120 different combinations
Step-by-step explanation:
There are 6 letters to choose from
Picking a letter for the first spot 6
Then there are 5 letters left
Picking a letter for the second spot 5
Then there are 4 letters left
Picking a letter for the second spot 4
6*5*4
= 120
Answer:
Step-by-step explanation:
15/45 * 100
=33.33%
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.