We will see that the probability of x taking on a value between 75 to 90 is P = 0.5
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How to get the probability?</h3>
We know that x is a continuous random variable uniformly distributed between 65 and 85.
This means that the probability that x value y in the range is such that:
1 = P(y)*(85 - 65) = P(y)*20
1/20 = P(y).
Now, the probability of x taking a value between 75 and 85 is:
P(75 to 85) = (1/20)*(85 - 75) = 10/20 = 0.5
And the probability between 85 and 90 is zero (because the maximum value that x can take is 85, so this part does not affect).
Then we conclude that the probability of x taking a value between 75 to 90 is:
P(75 to 90) = P(75 to 85) + P(85 to 90) = 0.5 + 0 = 0.5
If you want to learn more about probability, you can read:
brainly.com/question/251701
√(x+7) = x + 1
Squaring on both sides,
x + 7 = (x + 1)²
x + 7 = x² + 2x + 1
x² + x - 6 = 0
x² + 3x - 2x - 6 = 0
x(x + 3) - 2(x + 3) = 0
(x - 2)(x + 3) = 0
x = 2 or -3
Hope this helps!
Step-by-step explanation:
For the Cuboid, the formula will be:
Width x Height x Length
For the cylinder the volume formula will be:
Answer:
Thank you for the points.
Step-by-step explanation:
Have a great day!
You are very kind. :D
f(x) + n - move the graph n units up
f(x) - n - move the graph n units down
n · f(x) - stretch by n in the y-direction
1/n · f(x) - compress by n in the y-direction
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First:
Second: