Answer:
0.749
Step-by-step explanation:
We start by calculating the z-score
Mathematically:
z-score = (x-mean)/SD
z-score = (75-77)/3 = -2/3 = -0.67
The probability we want to calculate is;
P( X > -0.67)
we can use the standard normal distribution table for this
Using this table, the probability has a value 0.74857 which is 0.749 to the nearest thousandth
Answer:
Step-by-step explanation:
I figured this out with calculus since it's easier that way. The position function for the ball is
. The first derivative of position is velocity, so we need to find the first derivative of the position function which is
v(t) = -32t + 64
Now, where the ball is at its highest point is where the velocity is equal to 0, so setting the velocity function equal to 0 allows us to determine how many seconds it takes to get to that max height.
0 = -32t + 64 and
-64 = -32t so
t = 2 seconds. It takes 2 seconds to get to its max height. In order to determine that max height, we sub 2 in for t in the position function:
and
s(2) = 66 feet. The max height of the ball is 66 feet.
It looks like you are missing one value in your table. You have 6 sides of the die, however only 5 outcomes. Without this, we can't get a final answer. However, I can tell you how to solve the problem.
For the experimental probability, you need to add up all the 2's and 4's. Then, divide that number by the total amount of numbers. <span />
Answer:
Hence the slope of a line is 2
(3,4) and (5,8)
Slope of a line= 8–4/5–3 (y2-y1/x2-x1)
4/2
2
We know that f(x) = 7x + 8. So, take the derivative of this function with respect to x.
This gives
f'(x) = 7
Now, you probably realized that the x value disappeared. This means that no matter what value of x you use, the derivative of this function is always going to be 7, even at x = 5. That is, the rate of change of this function is always going to be a rate of 7.
