Answer:

Step-by-step explanation:
The z-score tells us how many standard deviations a value is away from the mean.
The formula is:

where x is the value,
is the mean, and s is the standard deviation.
We want to find the z-score for the score of an 83, the mean is 72, and the standard deviation is 5.

Substitute the values into the formula.

Solve the numerator.

Divide.

The z-score is 2.2, which means the score of 83 is 2.2 standard deviations above the mean.
Answer:
Only one extreme value of f(x) is possible.
Step-by-step explanation:
We are given the quadratic function of independent variable x which is f(x) = x² - 7x - 6 ......(1)
Now. the condition for extreme values of f(x) is 
Hence, differentiating both sides of equation (1) with respect to x, we get
= 0
⇒ x = 3.5.
So there is only one value of x for which f(x) has extreme value which is x = 3.5.
Therefore, only one extreme value of the given function is possible. (Answer)
Answer:
Least to greatest: 2, 3, 1
Step-by-step explanation:
Square root of 8 over 2 is about 1.41 which makes it the least value
2 is obviously equal to 2 which puts it in the middle
Square root of 7 is about 2.64 which makes it the greatest value
Answer:
2 1/10 miles.
Step-by-step explanation:
She has already jogged 2 1/2 + 3 2/5 miles. This is 2 5/10 + 3 4/10 or 5 9/10. 8 miles is also equal to 7 10/10 miles. So, to find the remaining amount of miles, we can do 7 10/10 - 5 9/10 = 2 1/10.
Answer:
if im not mistaken its 143