DO NOT GIVE THE ANSWER Please explain how to do this
2 answers:
Explanation:
Right now, we are given: .
is basically b divided by -8. In order to solve for b, we need to "undo" the division part - and to do so, we use the opposite of division, which is multiplication.
So, we would multiply both sides by -8:
On the left, when we multiply by -8, the -8 we multiplied and the -8 in the denominator cancel out, so we're just left with b. On the right side, it's simply the multiplication of -2 by -8. Here, since we have two negative numbers, the negatives cancel out to become a positive product, and 2 * 8 = 16. So, -2 * -8 = 16.
As you did not want the answer, I will not say explicitly the actual answer, but hopefully you can figure it out from my explanation above!
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Answer:
Probability that their mean height is less than 68 inches is 0.0764.
Step-by-step explanation:
We are given that in the united states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches.
Also, 16 men are randomly selected.
<em>Let </em><em> = sample mean height</em>
The z-score probability distribution for sample mean is given by;
Z = ~ N(0,1)
where, = population mean height = 69 inches
= population standard deviation = 2.8 inches
n = sample of men = 16
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
So, probability that the mean height of 16 randomly selected men is less than 68 inches is given by = P( < 68 inches)
P( < 68 inches) = P(
<
) = P(Z < -1.43) = 1 - P(Z
1.43)
= 1 - 0.9236 = 0.0764
<em>Now, in the z table the P(Z x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.43 in the z table which has an area of 0.92364.</em>
Therefore, probability that their mean height is less than 68 inches is 0.0764.