Answer:
-23.18, -0.82
Step-by-step explanation:
- h² + 24h + 19 = 0
- h²+2h*12+12²-125=0
- (h+12)²-√125²=0
- (h+12+11.18)(h+12-11.18)=0
- (h+23.18)(h+0.82)=0
- h+23.18=0 ⇒ h= -23.18
- h+0.82=0 ⇒ h= -0.82
Converting 9 3/8 to an improper fraction is 75/8. Converting 8 7/8 to an improper fraction is 71/8. Subtracting these, we get 75/8 - 71/8 = 4/8 = 1/2.
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Hope this helps!
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
Amelia can make 9 bracelets in 25 mins
Step-by-step explanation:
45 - 20 = 25
