Answer:
H0 : σ = 0.5
H0 : σ < 0.5
Step-by-step explanation:
From the scenario described above, the company wants to see conclusive evidence that the population standard deviation of sheath thickness is less than .05 mm ; THIS SIMPLY means ; REJECTION OF the NULL HYPOTHESIS. This is because once there is a significant or conclusive evidence in hypothesis testing, then we reject the null and support the claim of the alternative hypothesis.
Hence, the alternative hypothesis is ; population standard deviation of sheath Thickness is less than 0.5.
H1 : σ < 0.5 ;
Therefore, our null will be ;
H0 : σ = 0.5
Use the distributive property on the given expression.
4(2x + 11) = 4 * 2x + 4 * 11 = 8x + 44
Only choice C shows the correct expression.
Answer: C. 8x + 44
8z means 8 times z
z=8
8(8)+3
64+3
67
Marissa wants to know how much she would make using the simple interest calculation.
She will have $4,432.35
Given data
Principal = $3,900
Time = 7 years 6 months = 7.5 years
Rate = 1.82%
I = A - P = $532.35
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 1.82%/100 = 0.0182 per year.
Solving our equation:
A = 3900(1 + (0.0182 × 7.5)) = 4432.35
A = $4,432.35
The total amount accrued, principal plus interest, from simple interest on a principal of $3,900.00 at a rate of 1.82% per year for 7.5 years is $4,432.35.
Learn more about simple interest here:
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