Answer:
Step-by-step explanation:
A regular polygon is a shape with equal sides and angles. Because of this, we can write the following equation to set two sides equal to each other:
Solving, we will get a in terms of b:
Now we can substitute a for (b+3) into our equation:
Therefore, the length of each side of this polygon is 
.
Since the perimeter of the polygon consists of all five sides, the perimeter is:
Answer:
115.2 inches
Step-by-step explanation:
What we must do is calculate the ratio between the real version and the version to be imitated, in this case the ice cream cone.
To calculate the ratio, we will do it through the diameter:
48 / 2.5 = 19.2
So the ratio is 19.2: 1
Which means that one inch of the ice cream cone represents 19.2 inches in the real version.
Therefore, in the case of height it would be:
6 * 19.2 = 115.2
Therefore, the height should be 115.2 inches.
Answer:
The 95% confidence interval for the difference of the two populations means is ( 2.4, 41.6)
Step-by-step explanation:
Confidence intervals are usually constructed using the formula;
point estimate ± margin of error
In this question we are required to construct a 95% confidence interval for the difference of two populations means. The point estimate for the difference of two population means is the difference of their sample means which in this case is 22.
Assuming normality conditions are met, since we have no information on the sample sizes, the margin of error will be calculated as;
margin of error = z-score for 95% confidence * standard deviation of the difference of the sample means
The z-score associated with a 95% confidence interval is 1.96
The standard deviation of the difference of the sample means is given as 10
The 95% confidence interval for the difference of the two populations means is thus;
22 ± 1.96(10) = 22 ± 19.6 = ( 2.4, 41.6)
