Answer:
reflection over the x-axis and a vertical compression by a factor of 8
Step-by-step explanation:
The parent function is given as

The transformed graph has equation:

The factor of 8, indicates a vertical stretch.
The negative sign indicates a reflection in the x-axis.
Therefore the transformation is a reflection over the x-axis and a vertical compression by a factor of 8.
Answer:
C. Probability is 0.90, which is inconsistent with the Empirical Rule.
Step-by-step explanation:
We have been given that on average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches.
First of all, we will find z-score corresponding to 87.5 and 107.5 respectively as:










Now, we need to find the probability
.
Using property
, we will get:

From normal distribution table, we will get:



Since the probability is 0.90, which is inconsistent with the Empirical Rule, therefore, option C is the correct choice.
Answer:
\sqrt(217)
Step-by-step explanation:
(19)^2=(12)^2
361 - 144 + 217
\sqrt(217)