Answer:
He wont foul out with probability 0.9093
Step-by-step explanation:
The total number of fools he picked is a Binomial ditribution noted by X with parameters p = 0.05 and N = 48. The mean of this random variable is μ = np = 48*0.05 = 2.4 and the variance is σ² = np(1-p) = 2.4*0.95 = 2.28, hence its standard deviation is σ = √2.28 = 1.51.
Note that, if approximate probability is asked, we could just approximate X with a Normal random variable with mean 2.4 and standard deviation 1.51 (this can be done because of the central limit theorem). We will calculate the probability manually. He wont foul out if he picks 0,1,2,3 or 4 fouls, thus
As a consecuence, he wont foul out with probability 0.9093.
Given, a parking lot charges $3 for first hour and $2 per hour after that.
So for t hours, the parking lot charges $3 for the first hour and after first hour there is 
hours left.
So for hours it will charge $2 per hour.
The charges for hours = $
.
Total charges for t hours for one car = $
Now for the second car, it will charge 75% of the first car.
So the charges for second car
=$[ 
]
=$
There are 3 cars. That parking charges for the third car is also 75% of the first car.
So for third car the parking charges are same as for the second car.
Total parking charges for 3 cars
= $
= $
We have got the required answer here.
The correct option is option C.
Answer:
$7,596.43
Step-by-step explanation:
The cost of the college tuition is increasing 5% compounded annually for 5 years.
∴ A = P(1 + r%)ⁿ
where A = tuition fee after 5 years.
P = current tuition
r = rate of increase
n = period
A = $5,952(1 + 5%)⁵
= $5,952(1 + 0.05)⁵
= $5,952 × 1.05⁵
= $7,596.43
=
Answer:
it would be -90⁰ because its clockwise its the opposite direction
