For a standard normally distributed random variable <em>Z</em> (with mean 0 and standard deviation 1), we get a probability of 0.0625 for a <em>z</em>-score of <em>Z</em> ≈ 1.53, since
P(<em>Z</em> ≥ 1.53) ≈ 0.9375
You can transform any normally distributed variable <em>Y</em> to <em>Z</em> using the relation
<em>Z</em> = (<em>Y</em> - <em>µ</em>) / <em>σ</em>
where <em>µ</em> and <em>σ</em> are the mean and standard deviation of <em>Y</em>, respectively.
So if <em>s</em> is the standard deviation of <em>X</em>, then
(250 - 234) / <em>s</em> ≈ 1.53
Solve for <em>s</em> :
16/<em>s</em> ≈ 1.53
<em>s</em> ≈ 10.43
Area of circle= pi times radius^2
diameter=2 times radius
radius=diameter/2
diameter=12
radius=12/2
radius=6
pi times r&+^2
pi times 6^2
pi times 36
aprox pi=3.14
113.04 in^2
Answer:
500^1/3
Step-by-step explanation:
Since it is a cube root, the exponent is 1/3.
2a) 30
2 x 15
3 x 5
30=2x3x5
2b) 60
6 x 10
2x3 2x5
60=2x3x2x5
Answer:
angle Z=20°
side xy≈15.36
hypotenuse≈19.49
Step-by-step explanation:
Find angle z adding the other two angles and subtracting that by 180 to get 20.
(12)tan(20) gets you side xy which is 15.36
12^2+15.36^2=xz^2
