This year there are 900 rabbits which represents 200% of last year's population, means that last year the number of rabbits was:
x = 900 (100/200) = 450 rabbits.
The mathematical expression can be derived by a simple rule of three.
So, for last year the population was 450 rabbits.
Square root of 4096 is 6.4 so the answer is 64 + 6.4 = 70.4.
Given the scores on a statewide standardized test are normally distributed
Mean = μ = 78
Standard deviation = σ = 3
Normalize the data using the z-score by using the following formula and chart:

Estimate the percentage of scores of the following cases:
(a) between 75 and 81
so, the z-score for the given numbers will be:

As shown, the percentage when (-1 < z < 1) = 68%
(b) above 87

The percentage when (z > 3) = 0.5%
(c) below 72

The percentage when (z < -2) = 0.5 + 2 = 2.5%
(d) between 75 and 84

The percentage when ( -1 < z < 2 ) = 68 + 13.5 = 81.5%
Answer:
2.7%
Step-by-step explanation:
Since the probability of having and accident or exceed the deductible does not depend on the color of the car, the events are independent.
Recall that if two events A and B with probabilities P(A), P(B) of occurrence are independent, then
P(A ∩ B) = P(A)P(B)
There is a 300/1000 = 0.3 probability of choosing a random car. So, if the actuary randomly picks a claim from all claims that exceed the deductible,the probability that the claim is on a red car is
0.3*0.10*0.9 = 0.027 or 2.7%
Answer:
20x?
Step-by-step explanation: