Answer:
<h2>A = 22.6°</h2><h2>B = 67.4°</h2>
Step-by-step explanation:
Trigonometry:

Use Sine when you have the Opposite and the Hypotenuse.
Use Cos when you have the Adjacent and the Hypotenuse.
Use Tan when you have the Opposite and the Adjacent.
The Opposite is opposite the angle.
The Adjacent is next to the angle
The Hypotenuse is opposite the right angle.
<u>Angle A:</u>
Use Tan when you have the Opposite and the Adjacent.
Tan-1
= 22.6198... ~ 22.6°
<u></u>
<u>Angle B:</u>
Use Tan when you have the Opposite and the Adjacent
Tan-1
= 67.380... ~ 67.4°
22.6° + 67.4° + 90° = 180°
The answer is 16
Refer image for working :-
Drop comments if any doubt arises.
Answer:
338π
Step-by-step explanation:


Answer:
33, 97
Step-by-step explanation:
Start by setting up equations for the equivalent angles
3z + 2 + 79 = 180
3z = 99
z = 33
3z + 2 = y
3(33)+2 = y
97 = y
Answer:
The standard deviation of the sample mean is 4 minutes
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
The standard deviation of the population is 32.
Sample of 64.
So

The standard deviation of the sample mean is 4 minutes