Given the diagram below, which pair of

Solve the inequality 2x – 5 > 7

ziro4ka [17]

<span>2x – 5 > 7
Add 5 to both sides
2x > 12
Divide 2 on both sides
Final Answer: x > 6</span>

7 0

2 years ago

which of the following equations represents a line that is parallel to y=5x-4 and passes through the point , 3,4

Ulleksa [173]

Answer:

y=5x-11

Step-by-step explanation:

parallel lines have the same slope 5

y-4=5(x-3)

y-4=5x-15

y=5x-15+4

y=5x-11

3 0

3 years ago

The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 800 voters i

Hunter-Best [27]

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:

Null hypothesis: $p \leq 0.3$

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)