The hypotenuse of a 45°-45°-90° triangle measures 7 StartRoot 2 EndRoot units.
2 answers:
You might be interested in
Answer:
d. The average is equal to 12 ounces.
Step-by-step explanation:
In this problem, the drink filling machine must be perfectly calibrated at 12 ounces since it needs to be shut down in cases of overfilling (mean > 12 ounces) and underfilling (mean < 12 ounces). Therefore, the correct approach would be to test if the mean is 12 ounces and the correct set of hypothesis would be:
The correct alternative is d. The average is equal to 12 ounces.
Constant rates are used to illustrate linear functions.
- The average rate of change is $9.0 per hour
- The function that models the table is:
- The amount earned in 7.5 hours is $67.5
<u>(a) The average rate of change</u>
This is calculated using:
So, we have:
Hence, the average rate of change is $9.0 per hour
<u>(b) A function that models the table of values</u>
Let x represent hours, and y represent the earnings.
So, we have:
Where:
m =Rate = 9.0
So, we have:
Expand
Represent as a function
Hence, the function that models the table is:
<u>(c) Amount earned for 7.5 hours</u>
This means that x = 7.5
So, we have:
Hence, the amount earned in 7.5 hours is $67.5
Read more about constant rates at: