Let x = width
x+1 is then the length
2x+2(x+1)=66
2x+2x+2=66
4x=64
x=16
deck will be 16x17, nice for a BBQ. :)
Answer:
His 95% confidence interval is (0.065, 0.155).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
For this problem, we have that:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

His 95% confidence interval is (0.065, 0.155).
Answer:

Step-by-step explanation:
Carlie is running two different business.
She needs to pay:
- For the childcare business,
100$ for the materials
12$ per hour for each associate for her childcare business, so if we call:
= the number of hours worked by each associate
= the number of associates
The total cost for the childcare business is:
(1)
- For the lawn care business,
275$ for the materials
10$ per hour for each associate for her lawn care business, so if we call:
= the number of hours worked by each associate
= the number of associates
The total cost for the lawn care business is:
(2)
Therefore, the total expenses from both businesses is the sum of (1) and (2):

Answer:
<em>The amount of animal feed left was 86.4 kilograms.</em>
Step-by-step explanation:
Initial amount of animal feed in the barn was 96 kilograms.
The barn leaked and
of the feed was wasted.
So, <u>the amount of feed wasted</u>
kilograms.
<em>Now, for finding the amount of feed that was left, we need to subtract the amount of wasted feed from the initial amount of feed.</em>
So, the amount of animal feed left 
Answer:
The function of the graph is y = 3 cos (4x) ⇒ answer A
Step-by-step explanation:
- If the equation is y = A cos (B x)
* A is the amplitude
- The amplitude is the height from highest to lowest points and
divide the answer by 2
* The period is 2π/B
- The period is the distance from one peak to the next peak
* Lets look to the graph
- The maximum value is 3 and the minimum value is -3
∵ The height from the maximum point to the minimum point is
3 - (-3) = 3 + 3 = 6
∴ The amplitude is 6/2 = 3
∵ A is the amplitude
∴ A = 3
- The distance between two consecutive peaks is π/2
∵ The period is the distance from one peak to the next peak
∴ The period = π/2
∵ The period = 2π/B
∴ 2π/B = π/2 ⇒ divide both sides by π
∴ 2/B = 1/2 ⇒ by using cross multiplication
∴ B = 4
- Lets write the form of the function
∵ y = A cos (Bx)
∵ A = 3 and B = 4
∴ y = 3 cos (4x)
* The function of the graph is y = 3 cos (4x)