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
Answer:
The average rate of change from x=0 to x=1 for f(x) is 0.
Step-by-step explanation:
We are given the function 
.
Now, the rate average rate of change of a function from 
to 
is given by 
.
As, we need the rate of change from x = 0 to x = 1.
So, we will find the values of f(0) and f(1).
i.e. 
i.e. f(0) = 3
and 
i.e. 
i.e. f(1) = 3
Thus, the rate of change from x=0 to x=1 is 
i.e. 
i.e. 0
Hence, the average rate of change from x=0 to x=1 for f(x) is 0.
Answer:
d = 12
Step-by-step explanation:
d - 5= 7
( d - 5 ) + 5 = 7 + 5
d - 5 + 5 = 12
d = 12
Answer:
B. 152 + 7
Step-by-step explanation:
(8x + 16) + (7x - 9)
8x + 16 + 7x - 9
15x + 16 - 9
15x + 7
None of these options have this answer, so we see A and B:
A. x + 7
B. 152 + 7
It can't be A because we have 15x and A is x + 7
By process of elimination we have B. 152 + 7
x = 10 and 2/15
Average speed = total distance travelled / time taken
in this case total distance = 2x miles
time taken for first half of the journey = x/10 hours and for second part its x / 8 hours
average speed = 2x / ( x/10 + x/8) = 2 x / ( 4x + 5x / 40)
= 2x * 40 / 9x = 80 / 9 mph 8.89 mph
