Answer:
Step-by-step explanation:
In order to find the value of y, first we need to find the length of the perpendicular dropped from one of the vertices of the triangle to its opposite side.
By geometric mean theorem:
Length of the perpendicular
Next, by Pythagoras theorem:

Answer:
The tax amount is 15.17$
The tax rate is 12.4%.
Step-by-step explanation:
First we subtract the cost from the selling price.
137.17 - 122 = 15.17
We have found the tax amount, now for the tax rate.
If tax rate is x, then
122 * x = 137.17
Divide both sides by 122 to get
x = 137.17/122 = 1.124, or .124.
Then convert into percentage by moving the decimal to the right 2 times.
.124 = 12.4%
Hope this helps you
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 :


F(x) = g(x)
3(2) - 4 = (2)² - 2
6 - 4 = 4 - 2
2 = 2
I just substituted all the values in the domain to see which one would work. That's not really the quickest way but that's the only way I know