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zhannawk [14.2K]
3 years ago
6

Please help i have no clue how to this any tips appreciated:))

Mathematics
1 answer:
umka2103 [35]3 years ago
4 0

Answer:

\displaystyle PW = \underline{  \quad18 \quad}

Step-by-step explanation:

by tangent property we acquire:

\displaystyle 3x - 6 = x  + 10

add 6 to both sides:

\displaystyle 3x= x  + 16

cancel x from both sides:

\displaystyle 2x= 16

divide both sides by 2:

\displaystyle x= 8

so,

\displaystyle PW = 3x - 6

plug in the got value of x:

\displaystyle PW = 3.8 - 6

simplify multiplication:

\displaystyle PW = 24- 6

simplify Substraction:

\displaystyle PW =18

hence, The measure of PW is 18 unit

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Ket [755]

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No, there is not enough evidence at the 0.02 level to support the strategist's claim.

Step-by-step explanation:

We are given that a political study took a sample of 1300 voters in the town and found that 57% of the residents favored construction.

And, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 54%, i.e;

Null Hypothesis, H_0 : p = 0.54 {means that the percentage of residents who favor construction is 54%}

Alternate Hypothesis, H_1 : p > 0.54 {means that the percentage of residents who favor construction is more than 54%}

The test statistics we will use here is;

                 T.S. = \frac{\hat p -p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } } ~ N(0,1)

where, p = actual percentage of residents who favor construction = 0.54

           \hat p = percentage of residents who favor construction in a sample of

                  1300 voters = 0.57

           n = sample of voters = 1300

So, Test statistics = \frac{0.57 -0.54}{\sqrt{\frac{0.57(1- 0.57)}{1300} } }

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Therefore, we conclude that the percentage of residents who favor construction is 54% and the strategist's claim is not supported.

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3 years ago
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