To solve for proportion we make use of the z statistic.
The procedure is to solve for the value of the z score and then locate for the
proportion using the standard distribution tables. The formula for z score is:
z = (X – μ) / σ
where X is the sample value, μ is the mean value and σ is
the standard deviation
when X = 70
z1 = (70 – 100) / 15 = -2
Using the standard distribution tables, proportion is P1
= 0.0228
when X = 130
z2 = (130 – 100) /15 = 2
Using the standard distribution tables, proportion is P2
= 0.9772
Therefore the proportion between X of 70 and 130 is:
P (70<X<130) = P2 – P1
P (70<X<130) = 0.9772 - 0.0228
P (70<X<130) = 0.9544
Therefore 0.9544 or 95.44% of the test takers scored
between 70 and 130.
Answer:
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Step-by-step explanation:
First off, your drawing is kinda inaccurate, because the
looks like a right angle, but as you drew it yourself it doesn't matter too much.
We know that the sum of the angles of a triangle will always equal
, so we have that
.
Combining like terms on the left side gives
.
Subtracting
from both sides gives
.
So,
and we're done!
Answer: 8x
Step-by-step explanation: add it normally but carry the x
Answer:
what's the question?
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
x = 2n +2
where n is the number of hours. In this case n = 3 so x = 8