503.68 is the correct answer
Answer:
a) 12
b) 13
Step-by-step explanation:
f(x) = x^2 + 3
g(x) = 2x - 1
a) f(g(2)) = ?
g(2) = 2(2) - 1
= 4 - 1
= 3
f(g(2)) = f(3) = 3^2 + 3
= 9 + 3
= 12
b) g(f(2)) = ?
f(2) = 2^2 + 3
= 4 + 3
= 7
g(f(2)) = g(7) = 2(7) - 1
= 14 - 1
= 13
Answer:
Step-by-step explanation:
We would assume a binomial distribution for the handedness of the population. Let x be a random variable representing the type of handedness in the population. The probability of success, p is that a randomly chosen person is left handed only. Then probability of failure is that a chosen person is not left handed only(right handed only or both).
p = 12/100 = 0.12
number of success, x = 20
n = 200
the probability that there are at least 20 left-handers is expressed as P(x ≥ 20)
From the binomial probability calculator,
P(x ≥ 20) = 0.84
Speed of Bruce for the rest of the trip is 30 miles/hour.
Step-by-step explanation:
- Step 1: Total distance = 170 miles. In the trip Bruce's speed = 55 miles/hour. So, in 1 hour, distance covered = 55 miles. Find distance covered in 2 hours and the distance of the last part.
Distance covered in 2 hours = 2 × 55 = 110 miles
Remaining part of the trip = 170 - 110 = 60 miles
- Step 2: Find the speed of Bruce in the remaining part of the trip when time = 2 hours and distance = 60 miles.
Speed = Distance/Time = 60/2 = 30 miles/hour
12x12 + 12x12 = 288 = root of 288= 16.97
