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:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Step-by-step explanation:
Answer:-1/2 and 3
Step-by-step explanation:
i took the quiz
Answer:
The remainder is zero
Step-by-step explanation:
To find the remainder we will use the long division
⇒(1)
⇒(2)
⇒(3)
From (1) , (2) and (3)
The quotient of the long division is 
and no remainder
So the remainder is zero
* If you want to check your answer Multiply the quotient by the divisor
<span>12a^3b + 8a^2b^2 − 20ab^3
</span>12a^3b = 4ab(3a^2)
8a^2b^2 = 4ab(2ab)
20ab^3 = 4ab(5b^2)
GCF = 4ab
12a3b + 8a2b2 − 20ab3 = 4ab(3a^2 + 2ab - 5b^2)
