Answer: 0.0241
Step-by-step explanation:
This is solved using the probability distribution formula for random variables where the combination formula for selection is used to determine the probability of these random variables occurring. This formula is denoted by:
P(X=r) = nCr × p^r × q^n-r
Where:
n = number of sampled variable which in this case = 21
r = variable outcome being determined which in this case = 5
p = probability of success of the variable which in this case = 0.31
q= 1- p = 1 - 0.31 = 0.69
P(X=5) = 21C5 × 0.31^5 × 0.69^16
P(X=5) = 0.0241
Answer: 8
Step-by-step explanation:
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Answer:
A. 288pi in^3
Step-by-step explanation:
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Answer:
Part A
The given numbers are 14.25 and 0.86
By multiplying the two numbers, we have;
14.25 × 0.86 = 12.255
By adding the two numbers, we have;
14.25 + 0.86 = 15.11
Therefore, addition gives the greatest solution because one of the number is a fraction less than one
Part B
By dividing the two numbers (Dividing the larger number, 14.25 by the smaller number 0.86), we have 14.25/0.86 ≈ 16.57
Therefore, dividing the larger number by the smaller fraction gives a solution larger than the solution found in part A because the larger number multiplied by (1 - the inverse smaller fraction number) is larger than the value of the smaller (fraction) number
Step-by-step explanation:
Solve each equation with (0, 3)
y = -x + 3
3 = -0 + 3
y = 3 (correct since y = 3 in (0, 3))
y = 2x - 3
3 = 2(0) - 3
3 = 0 - 3
3 = -3 (incorrect since it isn't equal)
So... No, because it does not check in the second equation.
Best of Luck!
