Answer:
a) 0.5588
b) 0.9984
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 24
Standard Deviation, σ = 6.4
We are given that the distribution of score is a bell shaped distribution that is a normal distribution.
Formula:
a) P(score between 20 and 30)
b) Sampling distribution
Sample size, n = 22
The sample will follow a normal distribution with mean 24 and standard deviation,
c) P(mean score of sample is between 20 and 30)
12(8+t) You do what's in the parenthesis first, then multiply by 12, or in other words multiply 12 by the sum of 8 and t.
30
Multiply 6 by5
Now try divide that answer by 6
:)
4. You're right that the leg labeled
occurs in a 1-to-2 ratio with the hypotenuse, but more to the point, it also occurs with the leg of length 10 in a 1-to-
ratio. In other words,
and so
5. In this kind of triangle, the legs form a 1-to-
ratio with the hypotenuse, so it follows that
.
6. You have
and
mismatched. The larger leg in this kind of triangle has the
scaling factor. So in fact,
, which makes the larger leg
, and the hypotenuse would be
.