Answer:
EH = 3.31
Step-by-step explanation:
We have been given a right angle triangle EKL. As KH has been given as the altitude (perpendicular) of the right angled triangle, and K is the right angle, we can say that EK is tthe base of the triangle and EH is the only side lleft, which is the hypotenuse of the triangle.
Where,
EK = Base = 3
KH = perpendicular altitude
EH = Hypotenuse
m<K = 90
m<E = 25
We know that
cosθ = Base/ Hypotenuse
cos 25 = 3/ EH
EH = 3/cos25
EH = 3.31
Perpendicular alitutude can also be calculated by using the formula for tanθ.
<h2>
Answer with explanation:</h2>
Let
be the population mean lifetime of circulated $1 bills.
By considering the given information , we have :-

Since the alternative hypotheses is two tailed so the test is a two tailed test.
We assume that the lifetime of circulated $1 bills is normally distributed.
Given : Sample size : n=50 , which is greater than 30 .
It means the sample is large so we use z-test.
Sample mean : 
Standard deviation : 
Test statistic for population mean :-


The p-value= 
Since the p-value (0.0433834) is greater than the significance level (0.02) , so we do not reject the null hypothesis.
Hence, we conclude that we do not have enough evidence to support the alternative hypothesis that the average lifetime of a circulated $1 bill differs from 18 months.
The answer is 
Steps: (<em>in the attachment</em>)↓↓↓↓↓
<em>Hope this helps!!</em>
Answer:
W = 7
Step-by-step explanation:
1) Simplify 21/42 into 1/2
w/ 14 = 1/2
2) Multiply both sides by 14.
W = 1/2 · 14
3) Simplify
W = 14/29
4) Simplify (again)
W = 7
Answer:
A) 
B) $1200
Step-by-step explanation:
Let w represent employee's weekly sales and
be total weekly earnings.
We have been given that a phone store employee earns a salary of $450 per week plus 10% commission on her weekly sales.
A) The total weekly earnings of employee would be weekly salary plus 10% of weekly sales.
10% of weekly sales, w, would be 

Therefore, the function
models the employee's weekly earnings.
B) To find the weekly sales in the week, when employee earned $570, we will substitute
in our formula and solve for w as:






Therefore, the amount of employee's weekly sales was $1200.