Answer: True
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Work Shown:
Follow PEMDAS in reverse to solve for q
22q - 7 < 37
22q - 7+7 < 37+7 ... add 7 to both sides
22q < 44
22q/22 < 44/22 ... divide both sides by 22
q < 2
The answer is: "0" ["zero"].
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Let s be the scale factor then:
4s=10 and 6s=15
s=10/4 and s=15/6
s=5/2 and s=5/2
s=2.5
The scale factor is 2.5.
Answer:
1/2
Step-by-step explanation:
By definition of inverse functions:
f(f⁻¹(x)) = x
Take derivative using chain rule:
f'(f⁻¹(x)) (f⁻¹(x))' = 1
(f⁻¹(x))' = 1 / f'(f⁻¹(x))
Evaluate at x=4:
(f⁻¹(4))' = 1 / f'(f⁻¹(4))
(f⁻¹(4))' = 1 / f'(6)
(f⁻¹(4))' = 1 / 2
The margin of error is 3.92.
To find the margin of error, we use the formula
z*(σ/√n)
We first find the z-score.
Convert 95% to a decimal: 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that the z-score for this is 1.96:
1.96*(σ/√n)
Since the variance is 900, the standard deviation (σ) is √900 = 30:
1.96*(30/√n)
The sample size, n, is 225:
1.96*(30/√225) = 1.96*(30/15) = 1.96*2 = 3.92