9514 1404 393
Answer:
Step-by-step explanation:
Let w represent the width of the garden. Then w+9 represents the length. The perimeter is given by the formula ...
P = 2(L+W)
Filling in the known information, we have ...
262 = 2((w+9) +w)
131 = 2w +9 . . . . . . . divide by 2
122 = 2w . . . . . . . . . subtract 9
61 = w . . . . . . . . . . . divide by 2 (width)
w+9 = 70 . . . . . . . . length
The length of the garden is 70 feet; the width is 61 feet.
Answer:
We need a sample size of 564.
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:
The margin of error is:
95% confidence level
So , z is the value of Z that has a pvalue of , so .
Based upon a 95% confidence interval with a desired margin of error of .04, determine a sample size for restaurants that earn less than $50,000 last year.
We need a sample size of n
n is found when
So
Rounding up
We need a sample size of 564.
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-5, 7)
Point (-7, 1)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract/Add:
- Divide:
And we have our final answer!
To find the constant of proportionality, divide the variables - in this case, 25/2=12.5 is our answer.
An equation to describe this would be 12.5t=s, where t is the time, in hours, and s is the speed, in miles per hour. This is because each speed variable is 12.5 times the time in hours.