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kifflom [539]
3 years ago
8

The equation of a line is -2x+5t=-20 what is the x-intercept of the line?

Mathematics
1 answer:
vampirchik [111]3 years ago
8 0

The x intercept of the line is at x = 10.

The x intercept is always the value of x when all other values are equal to 0. So in this case, we put 0 in for t and then solve.

-2x + 5t = -20

-2x + 5(0) = -20

-2x = -20

x = 10

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It will be a negative.

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3 years ago
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Answer:

A political strategist wants to test the claim that the percentage of residents who favor construction is more than  30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

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Alternative hypothesis p >0.3

Step-by-step explanation:

We have the following info given from the problem:

n= 800 the random sample of voters selected from the town

\hat p = 0.34 represent the proportion of residents favored construction

p_o = 0.30 represent the value desired to test.

A political strategist wants to test the claim that the percentage of residents who favor construction is more than  30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: p \leq 0.3

Alternative hypothesis p >0.3

And in order to test this hypothesis we can use a one sample z test for a population proportion and the statistic would be given by:

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

And with the data given we have:

z=\frac{0.34 -0.3}{\sqrt{\frac{0.3(1-0.3)}{800}}}=2.469  

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6 0
3 years ago
Read 2 more answers
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