Answer:


Step-by-step explanation:
We know that the mean and the standard error of the sampling distribution of the sample proportions will be :-


, where p=population proportion and n= sample size.
Given : The proportion of students at a college who have GPA higher than 3.5 is 19%.
i.e. p= 19%=0.19
The for sample size n= 25
The mean and the standard error of the sampling distribution of the sample proportions will be :-


Hence , the mean and the standard error of the sampling distribution of the sample proportions :


The total distance that the family has driven is the sum of the distances from Phoenix to San Francisco,
d = sqrt ((5 - -16)² + (-36 - -12)²) = 10.63
from San Francisco to Blythe,
d = sqrt ((-9 - 5)² + (-20 - -36)²) = 21.26
from Blythe to Los Angeles,
d = sqrt ((-4 - -9)² + (-33 - - 20)²) = 5.83
Adding the distances, we get 37.72.
Answer:
a = 84°
b = 36°
c = 24°
d = 84°
e = 132°
Step-by-step explanation:
The parameters of the workers in the office are;
The number of staffs in the office = 60 staffs
The take-aways are pizza, curry, fish & chips, kebab and other
The frequency for the above take-aways = 14, 6, 4, 14, and 22 respectively
The variables for the angles representing the above take-aways on the pie chart = 'a', 'b', 'c', 'd', and 'e'; respectively
In order to find the size of the angles that represent each group of workers in the pie chart, we find the ratio of the group size to the total number of workers and we multiply the result by 360° as follows;
∠a = 360° × 14/60 = 84°
∠b = 360° × 6/60 = 36°
∠c = 360° × 4/60 = 24°
∠d = 360° × 14/60 = 84°
∠e = 360° × 22/60 = 132°
1/3 of 6=2(4 left)
3/8 of 4=1 1/2
1 1/2 yards left