Answer: P(x ≥ 1) = 0.893
Step-by-step explanation:
We would assume a binomial distribution for the outcome of the investment. The formula 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 = 36% = 36/100 = 0.36
q = 1 - p = 1 - 0.36
q = 0.64
n = 5
Therefore,
P(x ≥ 1) = 1 - P(x = 0)
P(x = 0) = 5C0 × 0.36^0 × 0.64^(5 - 0)
P(x = 0) = 1 × 1 × 0.107
P(x = 0) = 0.107
P(x ≥ 1) = 1 - 0.107 = 0.893
Answer:
the are perpendicular to each other (option B)
Answer:
=26x^3−12x^2+5x+7
Step-by-step explanation:
2x^3−3x+11−(3x^2+1)(4−8x)
Distribute:
=2x^3+−3x+11+24x^3+−12x^2+8x+−4
Combine Like Terms:
=2x^3+−3x+11+24x^3+−12x2+8x+−4
=(2x^3+24x^3)+(−12x^2)+(−3x+8x)+(11+−4)
=26x^3+−12x^2+5x+7
Answer:
The equation is p = (8/3) t + 24
In 2020, we will have about 48 horses.
Step-by-step explanation:
In 3 years the family increased by 32 - 24 = 8.
So the constant of proportionality = 8/3.
The required equation is p = (8/3)tx + 24
where p = the population and t is the number of years after 2011.
So in 2020 we can predict that in 2020 the number of horses
= (8/3) * 9 + 24
= 72/3 + 24
= 24 + 24
= 48.
Answer:
x= 20
y = 60
Step-by-step explanation:
y = 3x
6(3x) = 360
3x = 360/6
3x = 60
x = 20
y = 3*20
y = 60
