Answer:
AC = 30
Step-by-step explanation:
Start with:
Combine like terms.
Subtract from both sides of the equation.
Subtract from both sides of the equation.
Then, substitute for
in
Multiply.
Finally, add.
Write several ratios that describe the collection. 12:4
2 answers:
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Answer:
(1) P( < 26 inches) = 0.0436
(2) P(27.5 inches < < 28.5 inches) = 0.2812
Step-by-step explanation:
We are given that the mean vertical leap of all NBA players is 28 inches. Suppose the standard deviation is 7 inches and 36 NBA players are selected at random.
Firstly, Let = mean vertical leap for the 36 players
Assuming the data follows normal distribution; so the z score probability distribution for sample mean is given by;
Z = ~ N(0,1)
where, = population mean vertical leap = 28 inches
= standard deviation = 7 inches
n = sample of NBA player = 36
(1) Probability that the mean vertical leap for the 36 players will be less than 26 inches is given by = P( < 26 inches)
P( < 26) = P(
<
) = P(Z < -1.71) = 1 - P(Z
1.71)
= 1 - 0.95637 = 0.0436
(2) <em>Now, here sample of NBA players is 26 so n = 26.</em>
Probability that the mean vertical leap for the 26 players will be between 27.5 and 28.5 inches is given by = P(27.5 inches < < 28.5 inches) = P(
< 28.5 inches) - P(
27.5 inches)
P( < 28.5) = P(
<
) = P(Z < 0.36) = 0.64058 {using z table}
P(
27.5) = P(
) = P(Z
-0.36) = 1 - P(Z < 0.36)
= 1 - 0.64058 = 0.35942
Therefore, P(27.5 inches < < 28.5 inches) = 0.64058 - 0.35942 = 0.2812