First, ask yourself how far way is 70 from the mean of 63.5? It is equal to 70 - 63.5 = 6.5 inches.
Next, ask yourself how many standard deviations is this? Well, every standard deviation equals 2.5 inches, so there are 6.5 / 2.5 = 2.6 standard deviations. So, 70 is exactly 2.6 standard deviations to the right of the mean.
Finally, you can use the Standard Normal to find the answer P(X>70) since this is equivalent to:
<span>P(z > 2.6) = 0.0054 or 0.54% of women will be taller than 70 inches.
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Answer:
C 9 Units
Step-by-step explanation:
Answer:
(a) z=-0.59
(b) Joe will invest in Mean Corporation. The probability of getting an annual return grater than 11% is 72.3%.
Step-by-step explanation:
We have a normal distribution for the annual return of the stock.
This distribution has mean of 13.9% and s.d. of 4.9%.
If X=11%, we can calculate its corresponding z-value as:
The z-value is z=-0.5918.
The probabilty of P(X>11%)=P(y>-0.5918) is, by the standarized normal distribution table, equal to 0.723.
As its P(y>-0.5918)=P(X>11%)=0.723 bigger than the 70% threshold, Joe will invest in Mean Corporation.
Answer:
0.4 represents the height of the base.
0.6 represents the height of each block.
Step-by-step explanation:
In this expression the x is the number of blocks which is multiplied with the height of the block and added to the height of the base to get the total height of the wall.
Suppose we have ten blocks so
0.6x+ 0.4 = 0.6(10)+ 0.4= 6+0.4= 6.4
The height of the wall would be 6.4 if there are ten blocks.
The height of the wall depends on the number of blocks used.
The height of the base is constant irrespective of the number of blocks used.
