Answer:
the probability that the sample mean will be larger than 1224 is 0.0082
Step-by-step explanation:
Given that:
The SAT scores have an average of 1200
with a standard deviation of 60
also; a sample of 36 scores is selected
The objective is to determine the probability that the sample mean will be larger than 1224
Assuming X to be the random variable that represents the SAT score of each student.
This implies that ;

the probability that the sample mean will be larger than 1224 will now be:






From Excel Table ; Using the formula (=NORMDIST(2.4))
P(\overline X > 1224) = 1 - 0.9918
P(\overline X > 1224) = 0.0082
Hence; the probability that the sample mean will be larger than 1224 is 0.0082
Answer:
D
Step-by-step explanation: because W in the equation is the number of weeks she paid for the self defense class. and the 12.50 would be the registration fee because that is added on top of the number of 40w.
40w + 12.50 = 492.50
-12.50 -12.50
40w = 480.00
w = 12 which is how many weeks she paid
To solve this problem you must apply the proccedure shown below:
1. You have:
Sinα=opposite/hypotenuse
α=62°
opposite=x
hypotenuse=15 ft
2. When you substitute the values into Sinα=opposite/hypotenuse, you obtain:
Sinα=opposite/hypotenuse
Sin(62°)=x/15
3. You must clear "x", as below:
x=(15)(Sin(62°))
x=13.24 ft
The answer is. 13.24 ft
Let
. Then

lies in the second quadrant, so

So we have

and the fourth roots of
are

where
. In particular, they are



