Answer:
Volume = 113.1 cubic cm
Step-by-step explanation:
Answer:
We accept H₀ , we do not have enought evidence for rejecting H₀
Step-by-step explanation:
Normal Distribution
sample size n = 60
standard deviation σ = 15
1.Hypothesis Test : Is a one tailed-test on the right
H₀ null hypothesis μ₀ = 50
Hₐ alternative hypothesis μ₀ > 50
2.-We will do the test for a significance level α = 0,01 tht means for a 99% interval of confidence
then z(c) = 2.32
3.- We compute z(s)
z(s) = [ ( μ - μ₀ ) /( σ/√n ) ⇒ z(s) = ( 2 * √60 ) / 15
z(s) = 15.49/15 ⇒ z(s) = 1.033
4.- We compare values of z(c) and z(s)
z(s) < z(c) 1.033 < 2.32
z(s) is in the acceptance region so we accept H₀ , we do not have enough evidence for rejecting H₀
Financial aid would cover 5,700 and you would need to pay 1,900
Answer:
-3b³ - 5b² + 10b
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define Expression</u>
(10b + 7b² - 6b³) - (12b² - 3b³)
<u>Step 2: Simplify</u>
- Distribute negative: 10b + 7b² - 6b³ - 12b² + 3b³
- Combine like terms (b³): -3b³ + 10b + 7b² - 12b²
- Combine like terms (b²): -3b³ - 5b² + 10b
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