Attached the solution and work.
Eight children sit together at story time. Seven children sit in a circle and one child sits in the middle to tell the story. In
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Answer:
The value of x is hours.
Step-by-step explanation:
Machine A = 5 hours
Machine B = x hours
Machine A and B = 2 hours
Using the formula:
where:
T is the time spend by both machine
A is the time spend by machine A
B is the time spend by machine B
Let multiply the entire problem by the common denominator (5B)
2x + 10 = 5x
Collect the like terms
10 = 5x - 2x
10 = 3x
3x = 10
Divide both side by the coefficient of x (3)
hours.
Therefore, Machine B will fill the same lot in hours.
Answer:
Option D.
Step-by-step explanation:
Let
x -----> the original price of one game
y ----> the original price of one security programs
Remember that
The total pay with discount is
we have that
Find the total pay without discount
The amount saved is the difference
Answer:
The 95% confidence interval for the average price of a home in Gainesville of this size is between 183,772.5 square feet and 242,207.5 square feet.
Step-by-step explanation:
We have the standard deviation of the sample, so we use the students t-distribution.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 6 - 1 = 5
Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of 0.95(). So we have T = 2.015
The margin of error is:
M = T*s = 2.015*14500 = 29217.5.
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 212990 - 29217.5 = 183,772.5 square feet
The upper end of the interval is the sample mean added to M. So it is 212990 + 29217.5 = 242,207.5 square feet
The 95% confidence interval for the average price of a home in Gainesville of this size is between 183,772.5 square feet and 242,207.5 square feet.