The answer would be 2x^2+2x-24
using foil, you would multiply together x & x, x & 6, -4 & x, and -4 & 6, then add them together.
The number of square feet of the carpet is the area of the carpet
The number of square feet of outdoor carpet is 32 feet
<h3>How to determine the number of square feet</h3>
To do this, we simply divide the carpet to regular shapes.
The outdoor carpet can be divided to the following shapes from top to bottom
- Rectangle of 4 ft by 2 ft
- Rectangle of 6 ft by 2 ft
- Rectangle of 6 ft by 2 ft
So, the area of the outdoor carpet is:
Area = 4 * 2 + 6 * 2 + 6 * 2
This gives
Area = 32
Hence, the number of square feet of outdoor carpet is 32 feet
Read more about areas at:
brainly.com/question/24487155
Answer:
a)
, in which z is related to the confidence level.
b) A sample size of 991 is needed.
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 
.
The margin of error is:
In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent
This means that 
a. What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03 (round up to the next whole number).
This is n for which 
. So
, in which z is related to the confidence level.
Question b:
99% confidence level,
So 
, z is the value of Z that has a pvalue of 
, so 
.
Rounding up
A sample size of 991 is needed.
