9514 1404 393
Answer:
x = -7, x = 9
Step-by-step explanation:
We presume your equation is ...
x² -2x -63 = 0
Factors of -63 that have a sum of -2 are -9 and +7. Then the factored equation is ...
(x -9)(x +7) = 0
Solutions make the factors zero.
x -9 = 0 ⇒ x = 9
x +7 = 0 ⇒ x = -7
The solutions to the quadratic equation are x = -7 and x = 9.
Answer:
40 passes
Step-by-step explanation:
we know that
Bobby catches 8 passes in 3 football games
so
using proportion
Find out how many passes does he catch in 15 games
Answer:
a)
And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %
b)
So one deviation below the mean we have: (100-68)/2 = 16%
c)
For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%
Step-by-step explanation:
For this case we have a random variable with the following parameters:
From the empirical rule we know that within one deviation from the mean we have 68% of the values, within two deviations we have 95% and within 3 deviations we have 99.7% of the data.
We want to find the following probability:
We can find the number of deviation from the mean with the z score formula:
And replacing we got
And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %
For the second case:
So one deviation below the mean we have: (100-68)/2 = 16%
For the third case:
And replacing we got:
For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%