If the standard deviation of an exam is 5, the z-score us 1.95 and the mean is 80, the actual test score is; 89.75
<h3>How to solve z-score problems?</h3>
We are given;
Standard deviation; s = 5
z-score = 1.95
Mean = 80
Formula for z-score is;
z = (x' - μ)/σ
Thus;
1.95 = (x' - 80)/5
1.95 * 5 = (x' - 80)
9.75 = x' - 80
x' = 80 + 9.75
x' = 89.75
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Answer:

Step-by-step explanation:
From the question we are told that:
Height of Eagle 
Angle of depression
Generally the trigonometry equation for diagonal X is mathematically given by





Answer:
17.83in
Step-by-step explanation:
Answer:
Average speed of the particle is 13 miles per hour.
Step-by-step explanation:
From the given question expression for distance traveled by the particle is

Then fro the time interval (1, 4) we have to calculate the average speed.
At t=1, s=2(1)²+3(1) =2+3 =5 miles
And at t = 4 s=2(4)²+3(4) = 2(16)+12 = 32+12 =44 miles
So displacement of the particle in the time span from 1 to hours.
s = (44-5) = 39 miles
And the times taken = (4-1) =3 hours
From the formula speed = displacement/(time taken for displacement)
V = 39/3 = 13 miles/hour
Answer:
Step-by-step explanation:
The vertex will occur when t=-b/(2a) for the quadratic ax^2+bx+c
In this case
t=-200/(2(-16))
t=-200/-32
t=6.25
g(6.25)=-16(6.25^2)+200(6.25)
g(6.25)=625ft
So the maximum height of the rocket is 625 feet and it reaches this height at 6.25 seconds.