Answer:
Step-by-step explanation:
Volume of the figure = Base area * height
Base area:
Base area = area of trpezium + area of triangle
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<u>Trapezium:</u>
a, b area the length of parallel sides and h is the height of trapezium.
a = 8 m ; b = 5 m & h = 3 m


<u>Triangle:</u>
height = 4 m & base = 8 m


Base area = 19.5 + 16
= 35.5 m²
Volume of the figure = Base area * height
= 35.5 * 14
= 497 m³
Answer:
4.5 and .75 or 9/2 and 3/4
The length of the entire rope is 64 inches as when it is cut into four pieces one is 16 therefore when multiplying 16 by four you should get the length of the entire rope which is 64.
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.