Answer:
Step-by-step explanation:
a) It is a binomial distribution.
n = 25
p = 0.15
b) mean = np = 25 * 0.15 = 3.75
variance = np(1 - p)
= 25 * 0.15 * (1 - 0.15)
= 3.1875
c) P(X = x) = nCx * px * (1 - p)n - x
P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
= 25C0 * (0.15)^0 * (0.85)^25 + 25C1 * (0.15)^1 * (0.85)^24 + 25C2 * (0.15)^2 * (0.85)^23 + 25C3 * (0.15)^3 * (0.85)^22 = 0.4711
d) P(X = 3) = 25C3 * (0.15)^3 * (0.85)^22 = 0.2174
Answer:
45 miles in an hour
Step-by-step explanation:
315/7
Answer:
a¹⁸b²⁴c⁵⁴
Step-by-step explanation:
(aᵇ)ᶜ = aᵇᶜ = aᵇ×ᶜ
(-aⁿ)ᵒᵈᵈ = -aⁿ
(-aⁿ)ᵉᵛᵉⁿ = aⁿ
aⁿ × aⁿ = aⁿ⁺ⁿ
_________
In this situation, 6 is an even exponent which means that the negative coefficient of this 9th degree monomial will be positive. Now the only step is to multiply the exponents by the exponent outside of the perenthesis which is 6.
so (-a³b⁴c⁹)⁶ = ((-a³)⁶(b⁴)⁶(c⁹)⁶) = ((a³ˣ⁶)(b⁴ˣ⁶)(c⁹ˣ⁶)) = ((a¹⁸)(b²⁴)(c⁵⁴)) = <em>a¹⁸b²⁴c⁵⁴</em>
Answer:
x+5
Step-by-step explanation:
Simply it so it is
(x+5)(x+5)/(x+5)
And then you will take out the (x+5) from the numerator and denominator to get the answer.
Answer:
D
Step-by-step explanation:
when there are exponents with same bases multiplied by each other, keep the base and add the exponents
4^(3)+4^(5)=4^8
4^8 is D in this question
