Answer:
f(-10) = -19
f(2) = 4
f(-5) = -9
f(-1) = 1
f(8) = -5
Step-by-step explanation:
This is relatively simple if you understand the concept. All you have to do is take each number and then look at each inequality to see where it fits.
For example, if you take 2 and look at the first inequality, you see that 2 is not less than or equal to 5. Now if you look at the second inequality, you see that 2 is both greater than -5 and less than 5. Since 2 fits in the second inequality, you plug it into the second equation.
These functions where you have to see where the x-value fits are called piecewise functions and you will see them a lot in higher level math.
(disclaimer: I evaluated the numbers quickly, so I would doublecheck it, but I am pretty sure I didn't mess up)
The numbers 5, 12 and 13 can be used to correctly identify the sides of a right triangle, and this can be proven by using the Pythagorean Theorem.
5² + 12² = 13²
25 + 144 = 169
169 = 169
5 and 12 are the legs, and 13 is the hypotenuse. Hopefully this is what the question is asking. :)
Answer:
4.75% probability that the battery will last more than 9 hours before running out of power
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability that the battery will last more than 9 hours before running out of power g
This is 1 subtracted by the pvalue of Z when X = 9. So
has a pvalue of 0.9525
1 - 0.9525 = 0.0475
4.75% probability that the battery will last more than 9 hours before running out of power
Answer: 462
Step-by-step explanation:
