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 - y = 2
Rewriting in terms of y,
Subtract x from both sides.
-y = -x + 2
Divide by -1 so that the y is positive.
y = x - 2
Answer:
(2, 4)
Step-by-step explanation:
y = 3x - 2
y = -2x + 8
3x - 2 = -2x + 8
+ 2 +2
3x = -2x + 10
+2x +2x
5x = 10
/5 /5
x = 2
y = 3x - 2
y = 3(2) - 2
y = 6 - 2
y = 4
(x, y) --> (2, 4)
Hope this helps!
If you add the standard deviation to the average, it is 14.84. Because Marcus's score was lower than that, he will not receive a certificate.
I think this should be right for the reason and the calculation.