Going through long division: We see that 21 goes into 52 twice, with a remainder of 10. Bringing down the first 0 after '21,' we have '100' to divide by 21; the quotient is 4 and the remainder 16. Bringing down the 2nd '0' after 21, we now have '160' to divide by 21; the quotient is 7 with a remainder of 13. So far we have 2.47 as our quotient. We can continue this process as far as desired.
Divide 21 into 52 with a calculator to check your work here.
52 divided by 21 is 2.48 after rounding up.
Answer:
|-2y+5|=2|4y-1|
-2y+5=8y-2
-2y-8y=-2-5
-10y=-7
y=7/10
Step-by-step explanation:
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