Answer:
The probability that at most 38 of the 60 relays are from supplier A is P(X≤38)=0.3409.
Step-by-step explanation:
We can model this question with a binomial distribution random variable.
The sample size is n=60.
The probability that the relay come from supplier A is p=2/3 for any relay.
If we use a normal aproximation, we have the mean and standard deviation:

The probability that at most 38 of the 60 relays are from supplier A is P(X≤38)=0.3409:

Answer:
a₈ = - 1 / 128
Step-by-step explanation:
Given:
First four terms of the sequence
a₁= 1, a₂= - 1/2, a₃= 1/4 and a₄= -1/8
First we recognize that this is a geometric series (sequence) and we must calculate quotient q.
q = a₂/a₁ = a₃/a₂ = (-1/2)/1 = (1/4)/(-1/2) = - 1/2
q = - 1/2
Formula for calculating n-th term is:
aₙ = a₁ · qⁿ⁻¹
According to this:
a₈ = 1 (-1/2)⁷ = - 1/ 128
God with you!!!
Answer:
120 days
Step-by-step explanation:
hiking = 12
swimming = 10
both = 12 x 10
= 120 days
The answer is 251.33in2 but, if those are your only 2 choices it would be the closest one to that number which is 251.20in2
Hi there!
• x = - 3
Let's first calculate f(x) and g(x) individually :-
• f(x) = 4x - 7
⇒ 4(- 3) - 7
⇒ - 12 - 7 = - 19

• g(x) = 2x + 4
⇒ 2(- 3) + 4
⇒ - 6 + 4 = - 2

According to th' question :-
f(x) + g(x)
⇒ - 19 + (- 2)
⇒ - 19 - 2
⇒ - 21

~ Hope it helps!