Answer:
Width = 9 yds
Length = 28 yds
Step-by-step explanation:
Width = x
Length = 2x + 10
Area is 252 yd²
x(2x + 10) = 252
2x² + 10x - 252 = 0
2 (x + 14) (x - 9) = 0
(x + 14) (x - 9) = 0
x = - 14 or x = 9
Width = 9 yds
Length = 2x9 + 10 = 28 yds
Starting with x=1, subtract 1 from each side,
(x-1)=0
Our polynomial will have multiplicity of 2 for this particular zero,
(x-1)(x-1)
and do similar with the x=-4, add 4 to each side,
(x+4)=0
So our final result is: (x-1)(x-1)(x+4)
Expand out the brackets if you need this in standard form.
Assuming that the x is not part of the ^-1 the range would be
[0,π/2) U (π/2,<span>π]</span>
Answer:
The 99% confidence interval for the percentage of people who own a tablet computer is between 71.59% and 88.41%
Step-by-step explanation:
Confidence interval for the proportion of people who own a tablet:
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:

99% 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:

Percentage:
Multiply the proportion by 100.
0.7159*100 = 71.59%
0.8841*100 = 88.41%
The 99% confidence interval for the percentage of people who own a tablet computer is between 71.59% and 88.41%