Answer:
0.99145 is the probability that the system will work properly.
Step-by-step explanation:
We are given the following information:
The components function independently of one another.
We treat component working properly as a success.
P(component working properly) = 0.9
Then the number of components follows a binomial distribution, where

where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 5 and x = 3
For the system to function if atleast 3 out of 5 will work properly.
We have to evaluate:

0.99145 is the probability that the system will work properly.
Answer:
8 is the answer
Step-by-step explanation:
If you must cut all loaves the same, it is the smallest number that gives at least 50 slices.
From the figure, we immediately have
cos(θ) = 8/17
sin(θ) = 15/17
By definition of tangent,
tan(2θ) = sin(2θ)/cos(2θ)
Recall the double angle identities:
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1
Then
tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)
tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)
tan(2θ) = -240/161
Answer:
A
Step-by-step explanation:
Iwis
Answer:
There are only 1
Pairs of integers satisfying a÷b = -2
Step-by-step explanation: