Answer:
x=-3
Step-by-step explanation:
-4(-2x+5)-5x+5=-24
8x-20-5x+5=-24
3x-15=-24
3x=-9
x=-3
I hope that this helped you!
Answer:
x = 11.4 m
y = 21 m
man's shadow = 9.6 m
Step-by-step explanation:
measure of third angle must be 50 degrees (180 - (40 + 90))
you can take tan50° = 15/y and 'y' will equal approx. 21
to find 'x' you can take tan21° = (21-x) /25 and 21 - x = 25 · tan21°
21 - x = 9.6
-x = -11.4
x = 11.4
man's shadow is the difference of 21 and 11.4, which is 9.6
We will see that the probability of x taking on a value between 75 to 90 is P = 0.5
<h3>
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