Answer:
<u>x = 1.2√2</u>
Step-by-step explanation:
Taking the cosine value of the angle :
- cos 45° = 1.2/x
- 1/√2 = 1.2/x
- <u>x = 1.2√2</u>
Answer:
2
Step-by-step explanation:
![(x^{y})^z{}=x^{y*z}\\8^{3n}=8^6\\n=2](https://tex.z-dn.net/?f=%28x%5E%7By%7D%29%5Ez%7B%7D%3Dx%5E%7By%2Az%7D%5C%5C8%5E%7B3n%7D%3D8%5E6%5C%5Cn%3D2)
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:
![P(X=4)=^8C_4(0.87)^4(1-0.87)^{8-4}](https://tex.z-dn.net/?f=P%28X%3D4%29%3D%5E8C_4%280.87%29%5E4%281-0.87%29%5E%7B8-4%7D)
![=\dfrac{8!}{4!(8-4)!}(0.87)^4(0.13)^4\\\\= 70(0.57289761)(0.00028561)\\\\=0.0114537700474\approx0.01145](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B8%21%7D%7B4%21%288-4%29%21%7D%280.87%29%5E4%280.13%29%5E4%5C%5C%5C%5C%3D%2070%280.57289761%29%280.00028561%29%5C%5C%5C%5C%3D0.0114537700474%5Capprox0.01145)
Hence, the required probability is 0.01145.
Answer:
sss
Step-by-step explanation:
There are 3 even numbers: 2,4,6. If you add 3 there is 4. There is 6 possible outcomes 1,2,3,4,5,6. So the probability is 4/6, 2/3, 66.666....% or 0.6666666....