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.
Use the Pythagorean theorem

to find the missing side length of a right triangle
In this case, after you plug in the given numbers your equation is

Then, Just solve that equation for y.



y = 16
So the answer is B, 16 cm.
I hope this helps, please feel free to ask questions if you're still confused :)
S = πr(r + √(h² + r²))
400.2 = 3.14(6)(6 + √(h² + 6²))
400.2 = 18.84(6 + √(h² + 36))
18.84 18.84
21¹⁰⁹/₄₇₁ = 6 + √(h² + 36))
- 6 - 6
15¹⁰⁹/₄₇₁ = √(h² + 36)
231²²¹⁰⁰⁵/₂₂₁₈₄₁ = h² + 36
- 36 - 36
195²²¹⁰⁰⁵/₂₂₁₈₄₁ = h²
14 ≈ h
Answer:
It's the third option: (x^2 - 5)(x - 7).
Step-by-step explanation:
x^3 – 7x^2 – 5x + 35
= x^2(x - 7) - 5(x - 7) The (x - 7) is common so we have:
(x^2 - 5)(x - 7).
Answer:
x = 180 - (37 + 53)
Step-by-step explanation:
x + 37 + 53 = 180
x = 180 - (37 + 53)
All of the angles have to equal 180 due to the supplementary angles thm