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.
12 vertices are on the polyhedron
Find the number of miles he drove by subtracting the odometer readings:
38735.5 - 38320.8 = 414.7 miles.
Now divide the number of miles driven by the number of gallons:
414.7 / 14.5 = 28.6 miles per gallon.
<u><em>Answer:</em></u>
f (5) = 7.5
<u><em>Explanation:</em></u>
<u>The function given is:</u>
f (n+1) = -0.5 f (n)
<u>We are also given that:</u>
first term is 120
<u>This means that:</u>
f (1) = 120
<u>We will get the other terms by substitution as follows:</u>
f (2) = -0.5 f (1) = -0.5(120) = -60
f (3) = -0.5 f(2) = -0.5(60) = 30
f (4) = -0.5 f(3) = -0.5(30) = -15
f (5) = -0.5 f(4) = -0.5(-15) = 7.5
Therefore, f (5) = 7.5
Hope this helps :)
How many times can 66 go into 574?
574 ÷ 66 = 8.69
66 goes into 574 fully 8 times.
