Answer: 0.01145
Step-by-step explanation:
We use Binomial distribution , where the probability of getting x successes in n trial is given by :-
, p = probability of getting each success in each trial.
As per given
The proportion that a car with a certain protection system will be recovered= p=0.87
n= 8
Let x be the number of cars will be recovered.
Then, the probability that 4 of 8 stolen cars will be recovered:


Hence, the required probability is 0.01145.
To find the measure of the s angle que are going use the cosine law because we know all the sides of the triangule:
s² = r² + t² - 2*r*t * cos(S)
Then solve the equation
s² -r² - t² = -2*r*t * cos(S)
arccos ((s² -r² - t² /-2*r*t)) = S
arccos (((250)² -(850 cm)²-(940 cm)² /(-2* 850 cm*940 cm) = S
14.9 = S
round to the nearest 10th of a degree
15º = S
Answer:
= 85
Step-by-step explanation:
given m = - 2, and n = -4
Substitute the given values into the polynomial expression:

![[(-2)^{4} + 5] - (-4)^{3}](https://tex.z-dn.net/?f=%5B%28-2%29%5E%7B4%7D%20%2B%205%5D%20-%20%28-4%29%5E%7B3%7D)
= (16 + 5) - (-64)
= 21 + 64
= 85
Therefore, the correct answer is 85.