Answer:
a) The formula is given by mean 
the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.
b) 
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
If the distribution for X is normal or if the sample size is large enough we know that the distribution for the sample mean 
is given by:
Part a
The formula is given by mean the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.
Part b
The confidence interval for the mean is given by the following formula:
Answer:
We can use excel regression data analysis tool to find the equation of the regression line that best fits the data.
The excel output is attached here.
Therefore, the equation of the linear regression is:
Where:
21.9028 is the intercept and 1.5736 is the slope.
Assuming that this field is rectangular with 2 semi-circles (one on both ends of the field), we must first calculate the total area of the field. this is done by adding the area of the rectangular portion and the circular portion. This is done below:
Given:
Rectangular length = 95 yards
Rectangular width = semi-circle diameter = 49 yards
Area of rectangle = length * width = 95 * 49
Area of rectangle = 4655 yd^2
The area of the 2 semi-circles can be obtained by treating both as one circle.
Area of circle = pi * (d/2)^2 = 3.1416 * (49/2)^2
Area of circle = 1885.74 yd^2
Total area = 1885.74 + 4655 = 6540.74
We multiply the area by the cost of fertilizing:
Total cost = cost per sq. yd * total area
Total cost = 0.08 * 6540.74
Total cost = $523.26
Answer:
100
Step-by-step explanation:
130 - 30 = 100
27 cookies are oatmeal raisin cookies.
3/5ths of the cookies are oatmeal raisin, and 3/5ths of 45 is 27.
