Answer: <em>-2 is the correct answer </em>
Step-by-step explanation: All the other values in the options represent an input (x) instead of an output f(x). Al the values in the chart that are on your left are x inputs and all the values on the right are f(x) outputs Leaving you with -2 as the only correct answer.
<em>Hope this helps have a good one!</em>
The total cost of a cake that serves 20 people is $35.
<u>Step-by-step explanation</u>:
- Total cost = y
- Number of additional servings = x
- The number of additional servings = 20 - 12 = 8. (x=8)
<u>The equation can be formed as</u>:
- Total cost = basic cost + (No. of additional serving
cost per additional serving) - y = 25 + x1.25
- Substitute x=8 in the above equation
- y = 25 + 8(1.25)
- y =25+10
- y = 35
Therefore, the total cost of a cake that serves 20 people is $35.
Answer:
x=80
Step-by-step explanation:
Take the derivative of C(x) using the power rule
C'(x)=4x-320
Set this equal to 0 and solve for x
4x=320
x=80.
Sign analysis shows this to be a minimum because for values larger than 80 C'(x)>0 and for values less than 80 C'(x)<0
Answer:
Step-by-step explanation:
We want to determine a 90% confidence interval for the true population mean textbook weight.
Number of sample, n = 22
Mean, u = 64 ounces
Standard deviation, s = 5.1 ounces
For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
64 ± 1.645 × 5.1/√22
= 64 ± 1.645 × 1.087
= 64 ± 1.788
The lower end of the confidence interval is 64 - 1.788 = 62.21 ounces
The upper end of the confidence interval is 64 + 1.788 = 65.79 ounces
Therefore, with 90% confidence interval, the true population mean textbook weight is between 62.21 ounces and 65.79 ounces
