Answer:
Angle made by ramp with ground is ≈
Step-by-step explanation:
Diagram of given scenario is shown below.
Given that,
Horizontal Distance of Skateboard ramp is 
ft.
Height of Skateboard ramp is 
ft.
From figure,
It is forming a Right angle triangle 
.
In , 
and 
.
Clearly see that we need to find measure of angle 
.
Using Trigonometric ratio:
So, 
Then 
Therefore, Angle made by ramp with ground is ≈
Answer:
A) 288.62
Step-by-step explanation:
10.4×15.3= 159.12
10.4²+15.3²= X²
342.25= X²
18.5= X
7×18.5= 129.5
129.5+159.12= 288.62
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 17
For the alternative hypothesis,
µ < 17
This is a left tailed test.
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 80,
Degrees of freedom, df = n - 1 = 80 - 1 = 79
t = (x - µ)/(s/√n)
Where
x = sample mean = 15.6
µ = population mean = 17
s = samples standard deviation = 4.5
t = (15.6 - 17)/(4.5/√80) = - 2.78
We would determine the p value using the t test calculator. It becomes
p = 0.0034
Since alpha, 0.05 > than the p value, 0.0043, then we would reject the null hypothesis.
The data supports the professor’s claim. The average number of hours per week spent studying for students at her college is less than 17 hours per week.
