Answer:
It is a linear function because there is a constant rate of change in both the input and output values
Step-by-step explanation:
To determine if the function is linear, calculate the differences between the y values.
If the differences are constant, or the same value, the equation is linear and has a constant slope. If the differences are not the same, the equation is not linear.
<u>difference between y values (output)</u>
7 - 4 = 3
3 - 1 = 3
1 - -2 = 3
⇒ the function is linear
<u>difference between x values (input)</u>
-2 - -5 = 3
-5 - -8 = 3
-8 - -11 = 3
⇒ the function is linear as there is a constant rate of change in both the input and output values
Shawn can expect to make 12 free throw in his next game
8 ft up the building is where the top of the ladder touches (use Pythagorean Theorem)
<span />
From top to bottom
31
13
-41
-68
-104
Answer:
He needs to score below 68.88 in order to advance to the next round
Step-by-step explanation:
Z-score
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:

He needs to score below what value in order to advance to the next round?
Below the 20th percentile, so below the value of X when Z has a pvalue of 0.20. So it is X when 




He needs to score below 68.88 in order to advance to the next round