Answer:
Your answer would be 60
Step-by-step explanation:
=36(6 - 4) 6(6 – 8)
= 36(2) + 6 (-2)
= 72 + (-12)
= 72 - 12
= 60
hope it helps!
Answer: x=20
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.
Imagine (or draw) a standard normal curve. Draw a vertical line through the center of this curve, and mark it 3.25 inches. This is the mean diameter. Next, draw vertical lines to represent these sums: 3.25 plus .25, or 3.50 inches; 3.25 less .25, or 3.00 inches, and 3.25 less .50 inches, or 2.75 inches.
Note that 2.75 inches is 2 standard deviations below the mean: That's 2.75 inches less twice 0.25 inches, or 2.75 = 3.25 inches less 2(0.25) inches.
onions with diameters less than 2.75 are rejected; onions with diameters greater than 2.75 inches are accepted.
Find the area to the LEFT of 2.75 inches. In other words, find the area to the left of 2 standard deviations below the mean.
I would use the Empirical Rule here: "68% of data is within 1 standard dev. of the mean; 95% is within 2 standard dev. of the mean.
This tells us that the area to the left of 2.75 inches or -2 standard deviations is 0.025 (half of 0.050). Subtract this from 1.000; you'll get 0.975. This means that 97.5% of the onions will prove to be acceptable, whereas 2.5% will be rejected because they are less than 2.75 inches in diameter.
You could also use a table of z-scores to do this: Determine from the table the area under the std. normal curve to the left of -2 std. dev. Again, this comes out to 0.025, meaning that the area to the right of -2 std. dev is 0.975.
Your answer to this problem is 9+65 I believe
