The complete factorized expression is
(2 + 2a + 3b) (2 - 2a + 3b).
Take a look at the attachment to see how I got this solution.
85 = 10x+15
70 = 10x
x = 7
180-85 = 95 = z
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
Well, things like sporting events, or freak storms are measured in days, or weeks. Depends. For weather, it could be hurricanes, tornado's, or even large fires(not quite weather, but could be)
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Answer:</h2>
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Step-by-step explanation:</h2>
We have two forces as follows:
<u>First force:</u>
Magnitude: 150 pounds
Angle: 30°
<u>First force:</u>
Magnitude: 100 pounds
Angle: 120°
So the components can be found as follows:
So the components of the resultant force can be found by adding each component of the individual forces as follows:
Finally, the magnitude and direction of the resultant force is:
