Answer:
78
Step-by-step explanation:
The mean is the sum of the 5 numbers, divided by 5:
µ = (9 + 18 + 27 + 30 + x)/5 = (84 +x)/5 = 16.8 +x/5
The median of a 5-number set will be the middle number. Depending on the value of x, the mean/median may be 18, x, or 27, so we have three possible equations for x.
16.8 +x/5 = 18
x/5 = 1.2 . . . . . subtract 16.8
x = 6 . . . . . . . . multiply by 5
___
16.8 +x/5 = x
16.8 = 4/5x . . . . subtract x/5
21 = x . . . . . . . . . multiply by 5/4
___
16.8 +x/5 = 27
x/5 = 10.2 . . . . . . subtract 16.8
x = 51 . . . . . . . . . . multiply by 5
___
The sum of the possible values of x is ...
sum = 6 + 21 + 51 = 78
Answer:
28
Step-by-step explanation:
Hope this helps!
Answer:
Step-by-step explanation:
We would apply the formula for binomial distribution which is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 18% = 18/100 = 0.18
q = 1 - p = 1 - 0.18
q = 0.82
n = 5
Therefore,
P(x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)
P(x = 0) = 5C0 × 0.18^0 × 0.82^(5 - 0)
P(x = 0) = 0.37
P(x = 1) = 5C1 × 0.18^1 × 0.82^(5 - 1)
P(x = 1) = 0.41
P(x = 2) = 5C2 × 0.18^2 × 0.82^(5 - 2)
P(x = 2) = 0.18
Therefore,
P(x ≤ 2) = 0.37 + 0.41 + 0.18 = 0.96
Answer:
See explanation
Step-by-step explanation:
Volume of cone - volume of cylinder
[1/3π(6)²(14)] - [π(4)²(3)]
168π - 48π = 120π
Cubed is a number that is multiplied by itself 3 times. So you will multiply .5 by itself once and get .25 then multiply it by .5 again and get .125. The answer is A.
