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:
-12
Step-by-step explanation:
8x - 2(6 - x)
Substitute 0 for each x
8*0 - 2(6 - 0)
Solve.
0 - 2*6
0 - 12
-12
Answer:
Step-by-step explanation:
Since the length of time taken on the SAT for a group of students is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = length of time
u = mean time
s = standard deviation
From the information given,
u = 2.5 hours
s = 0.25 hours
We want to find the probability that the sample mean is between two hours and three hours.. It is expressed as
P(2 lesser than or equal to x lesser than or equal to 3)
For x = 2,
z = (2 - 2.5)/0.25 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.02275
For x = 3,
z = (3 - 2.5)/0.25 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.97725
P(2 lesser than or equal to x lesser than or equal to 3)
= 0.97725 - 0.02275 = 0.9545
967.50 = 450 + 28.75p
967.50 - 450 = 28.75p
517.5 = 28.75p
18 = p
