Answer:
Step-by-step explanation:
-2(4-3x)+(5x-2)
-8+6x+5x-2
11x-10
Answer:
Yes it does
Step-by-step explanation:
We can use two sample t-test to draw the conclusuion. However, by looking at the information of mileage of tyres on asphalt and concrete-paved highways, we can say that since mean milege of tyres on concrete is lesser, tyres wear faster on concrete-paved highways.
Answer:
a. P(X ≤ 5) = 0.999
b. P(X > λ+λ) = P(X > 2) = 0.080
Step-by-step explanation:
We model this randome variable with a Poisson distribution, with parameter λ=1.
We have to calculate, using this distribution, P(X ≤ 5).
The probability of k pipeline failures can be calculated with the following equation:

Then, we can calculate P(X ≤ 5) as:

The standard deviation of the Poisson deistribution is equal to its parameter λ=1, so the probability that X exceeds its mean value by more than one standard deviation (X>1+1=2) can be calculated as:

Answer:
$300
Step-by-step explanation:
Given that:
Derek bought a new car for $32,000;
The original amount of purchase = $32,000
Down payment = $17,000
Remaining amount = Original amount of purchase - Down payment
= $(32000 -17000)
= $ 15,000
Also;
rate of interest per month is 2%
and the Derek is unable to pay his first monthly payment
thus the interest amount is calculated on principal amount
so for the first month interest is calculated on total principal amount
The month interest payment is then calculated as :
= 15,000 × 2%
= 15,000 × 0.02
= $300
Answer:
Probability = 0.502
Step-by-step explanation:
We are given the following data :
Hours Count Percent
1 18 3.44
2 55 10.50
3 81 15.46
4 109 20.80
5 88 16.79
6 66 12.60
7 39 7.44
8 17 3.24
9 17 3.24
10 19 3.63
15 15 2.86
We need to calculate the probability
P(Length of stay of exactly 1 is less than or equal to 4)
P(
) = P(Y = 1) + P(Y = 2) + P(Y = 3) + P(Y = 4)

We convert the percent into probabilities by dividing them with 100. This gave us the required probabilities.