Answer:
The probability of finding an average in excess of 4.3 ounces of this ingredient from 100 randomly inspected 1-gallon samples of regular unleaded gasoline = P(x > 4.3) = 0.00621
Step-by-step explanation:
This is a normal distribution problem
The mean of the sample = The population mean
μₓ = μ = 4 ounces
But the standard deviation of the sample is related to the standard deviation of the population through the relation
σₓ = σ/√n
where n = Sample size = 100
σₓ = 1.2/√100
σₓ = 0.12
The probability of finding an average in excess of 4.3 ounces of this ingredient from 100 randomly inspected 1-gallon samples of regular unleaded gasoline = P(x > 4.3)
To do this, we first normalize/standardize the 4.3 ounces
The standardized score for any value is the value minus the mean then divided by the standard deviation.
z = (x - μ)/σ = (4.3 - 4)/0.12 = 2.5
To determine the probability of finding an average in excess of 4.3 ounces of this ingredient from 100 randomly inspected 1-gallon samples of regular unleaded gasoline = P(x > 4.3) = P(z > 2.5)
We'll use data from the normal probability table for these probabilities
P(x > 4.3) = P(z > 2.5) = 1 - P(z ≤ 2.5) = 1 - 0.99379 = 0.00621
Yes.
1/2 is equivalent to 4/8. 6/8 is greater than 4/8 making it greater than 1/2.
Answer:
1. x = 2.6
2. 7x + 1
Step-by-step explanation:
1.
Given:
4.75x = 12.35
Find x
4.75x = 12.35
Divide both sides by the coefficient of x, that is 4.75
4.75x / 4.75 = 12.35 / 4.75
x = 2.6
Check
4.75x = 12.35
4.75(2.6) = 12.35
12.35 = 12.35
2.
Given:
3x + 2 + 4x - 1
Combine like terms
3x + 4x + 2 - 1
7x + 1
1.25 = 5/4 = 10/8
1.5 = 3/2 = 12/8
One example would be 11/8, which is 1.375.
