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Answer:
The dimensions of the work area are 16 ft by 36 ft
Step-by-step explanation:
Let
x ----> the length of the work area in feet
y-----> the width of the work area in feet
we know that
The perimeter of the work area is equal to

simplify
----> equation A
The area of the work area is equal to
---> equation B
substitute equation A in equation B
solve the quadratic equation by graphing
using a graphing tool
The solutions are
x=16 ft, y=36 ft
or
x=36 ft, y=16 ft
see the attached figure
therefore
The dimensions of the work area are 16 ft by 36 ft
Answer:
x=0
Step-by-step explanation:
First distribute -4 to x and -5 and get -4x+20-25=-5
Then you combine like terms and get -4x-5=-5
Then add 5 to both sides and get -4x=0
Then divide both sides by -4 and get x=0
Answer:
So we use the t-distribution to compute a confidence interval for the average age of people using online dating services
Step-by-step explanation:
Confidence interval for a mean.
We have to decide between the t-distribution and the z-distribution.
T-distribution: We use the sample standard deviation.
Z-distribution: We use the population standard deviation.
In this problem:
The average age of those that were using online dating services was 35 years old with a sample standard deviation of 12 years.
So we use the t-distribution to compute a confidence interval for the average age of people using online dating services
1/2 of the class are 5th and 4th
1/2 of 96= 48
1/4 of 48 =12