Answer:
Explanation:
Answer:
Reorder the terms:
8 + 6p + -4p = 3(p + 4)
Combine like terms: 6p + -4p = 2p
8 + 2p = 3(p + 4)
Reorder the terms:
8 + 2p = 3(4 + p)
8 + 2p = (4 * 3 + p * 3)
8 + 2p = (12 + 3p)
Solving
8 + 2p = 12 + 3p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-3p' to each side of the equation.
8 + 2p + -3p = 12 + 3p + -3p
Combine like terms: 2p + -3p = -1p
8 + -1p = 12 + 3p + -3p
Combine like terms: 3p + -3p = 0
8 + -1p = 12 + 0
8 + -1p = 12
Add '-8' to each side of the equation.
8 + -8 + -1p = 12 + -8
Combine like terms: 8 + -8 = 0
0 + -1p = 12 + -8
-1p = 12 + -8
Comb
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Answer:
6.5 minutes
Explanation:
We solve this question using this z-score formula.
z = (x-μ)/σ
where x is the raw score
μ is the population mean
σ is the population standard deviation
z = standard deviations above the mean = 0.43
x = 34 minutes
μ = 31.2 minutes
σ = unknown
n = 100
0.43 = (34 - 31.2)/ σ
0.43 = 2.8 / σ
Cross Multiply
0.43 × σ = 2.8
σ = 2.8/0.43
σ = 6.511627907
The standard deviation of the distribution is approximately 6.5 minutes