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AnnZ [28]
3 years ago
13

-7w + 2(w + 8) = -24 Can you help me find w?

Mathematics
1 answer:
stiv31 [10]3 years ago
6 0
-7w + 2(w + 8) = -24

First, expand your equation.
-7w + 2w + 16 = -24
Second, add '-7w + 2w' to get '5w'.
-5w + 16 = -24
Third, take away '16' from both sides.
-5w = -24 - 16
Fourth, subtract '-24 - 16' to get '-40'.
-5w = -40
Fifth, divide both sides by '-5' and change it into a positive.
w =  \frac{40}{5}
Sixth, how many times does 5 go into 40? 40 ÷ 5 = 8.
w = 8

Answer: w = 8

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Answer:

<em> The calculated value Z = 1.8823 <1.96 at 0.05 level of significance</em>

<em> The average amount of energy used in his factory per day has changed since last year.          </em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that mean of the Population = 2000 (MWH)

Given that size of the sample 'n' = 400

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Given that the standard deviation = 425 MWH per day

<u><em>Step(ii):-</em></u>

<u><em>Null hypothesis:H₀: μ = 2000 (MWH)</em></u>

<u><em>Alternative Hypothesis:H₁: μ≠ 2000( MWH)</em></u>

<em>Test statistic</em>

<em>                  </em>Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }<em></em>

<em>                 </em>Z = \frac{2040-2000}{\frac{425}{\sqrt{400} } }<em></em>

<em>                Z =  1.8823</em>

<em>The calculated value Z = 1.8823 <1.96 at 0.05 level of significance</em>

<u><em>Final answer:</em></u><em>-</em>

<em> The calculated value Z = 1.8823 <1.96 at 0.05 level of significance</em>

<em> The average amount of energy used in his factory per day has changed since last year.          </em>

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