The answer needs the volume of the original pyramid minus the small pyramid cut off.
Volume of pyramid = (area of base x height)/3
(12 x 6 x 14)/3 - (4 x 10 x 6)/3 = 256 m^3
The diagram is completely wrong so this problem is actually impossible to solve!
If you slice horizontally across a rectangular pyramid the ratios of the edges will remain constant.
The two rectangles are not the same shape! 12:6 is not the same ratio as 10:4
If the original pyramid in this question was sliced in half the top rectangle of the frustum would be 6 x 3.
In this diagram the height was reduced from 14m to 8m so the top 6m was removed.
If the base was 12 x 6 the top rectangle should be 6/14 smaller = 5.14m by 2.57m (not 10 x 4)
If you are brave you could point this out to your teacher
3 units + 1 unit = 4 units (the sum of 2nd and 3rd)
4 units + 4 units = 8 units (sum of all properties)
*The other 4 units comes from the first property as the first property's value is the same as the sum of the 2nd and 3rd.*
8 units = $560 000
1 unit = $560 000÷8 = $70 000 (3rd)
3 units = 3x$70 000= $210 000 (2nd)
$210 000 + $70 000=$280 000 (1st)
Ans:
1st property costs $280 000.
2nd property costs $210 000.
3rd property costs $70 000.
The expected value is just the weighted average of how much one ticket wins. To calculate it, we need to find the probabilities of winning each dollar amount, multiply each probability with it's respective dollar amount, then find the sum.
Let's call the winnings from one ticket X:
P(X=30) = 4000/2000000 = 0.002
P(X=800) = 500/2000000 = 0.00025
P(X=1200000) = 1/2000000 = 0.0000005
E(X) = 30*P(X=30) + 800*P(X=800) + 1200000*P(X=1200000) = 0.06 + 0.2 + 0.6 = 0.86
The answer is $0.86
Answer:
110.28
Step-by-step explanation:
First: 100 - 44.86 = 55.14
Second: 55.14/.50 = 110.28
Last: The most you can travel is 110.28 miles per day!
Please mark Branilest!
The answer would be that janey would have to go to bed at 9:40pm
