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nydimaria [60]
3 years ago
9

Question 5 (Multiple Choice Worth 4 points)

Mathematics
2 answers:
loris [4]3 years ago
7 0
(-2,2) (0,1)
slope = y1-y2/x1-x2 .... 2-1/-2-0 = -1/2 the answer is C
Nitella [24]3 years ago
3 0

Answer:  \dfrac{-1}{2} or -1 over 2.

Step-by-step explanation:

The slope of a line passing through points (a,b) and (c,d) is given by :-

m=\dfrac{d-b}{c-a}

From the given graph , the line is passing from points (-2,2) and (0,1).

Now, the of a line passing through points (-2,2) and (0,1) is given by :-

m=\dfrac{1-2}{0-(-2)}\\\\\Rightarrow\ m=\dfrac{-1}{2}

Hence, the slope of the line = \dfrac{-1}{2}

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Step-by-step explanation:

75 /100 = .75

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60 is n

60/90 = .666667

.666667 * 100 = 66.67%

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The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 900 vot
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Answer:

z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00  

Now we can calculate the p value. Since is a bilateral test the p value would be:  

p_v= P(Z>2) =0.0228

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

Step-by-step explanation:

Information given

n=900 represent the random sample selected

\hat p=0.75 estimated proportion of residents favored annexation

p_o=0.72 is the value that we want to test

represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:  

Null hypothesis:p\leq 0.72  

Alternative hypothesis:p > 0.72  

The statistic for this case is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the data given we got:

z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00  

Now we can calculate the p value. Since is a bilateral test the p value would be:  

p_v= P(Z>2) =0.0228

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%

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