The formula to find surface area is SA= 2(L×W + L×H + H×W)
The 2 is there to double each side.
so..
A)
SA = 2(L×W + L×H + H×W)
= 2( 16×9 + 16×4 + 4×9)
= 2( 144 + 64 + 36)
= 2( 244)
= 488 units2
B) SA = 2(L×W + L×H + H×W)
= 2 ( 13×9 + 13×4 + 4×9)
=2 ( 117 + 52 + 36)
=2 ( 205)
SA= 410cm2
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
3/4(8x + 20) - 4x > -11
x ==> ?
Step 02:
Inequality :
2x + 15 > -11
2x + 15 - 15 > -11 - 15
2x > - 26
2x / 2 > -26 / 2
x > - 13
The answer is:
x > -13
69.9 is exactly 3 standard deviations away, which means that 78.9 is +3 (more than 3) standard deviations
So the answer is 78.9
Answer:
The probability of scoring fewer than 5 runs when they win is P = 0.19
How to find the probability?
We know that:
The probability of winning a game is p = 0.53
The probability of scoring 5 or more runs is q = 0.59
The probability of winning and scoring 5 or more runs is k = 0.43
Notice that the joint probability is different than the product of the individual probabilities, this means that the events are not independent.
So, we know that the probability of winning is 0.53
Now, given that they win, the probability of scoring 5 or more times will be q' such that:
0.53*q' = 0.43
q' = 0.811
This means that when they win, the probability of scoring more than 5 times is 0.81
Then the probability of scoring less than 5 times when they win is 1 minus the above probability:
P = 1 - 0.81 = 0.19
The probability of scoring fewer than 5 runs when they win is P = 0.19
