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: 
Alternative hypothesis 
Step-by-step explanation:
We have the following info given from the problem:
the random sample of voters selected from the town
represent the proportion of residents favored construction
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:
Alternative hypothesis
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:
(1)
And with the data given we have:
Answer:
See below
Step-by-step explanation:
d = 78° (Vertical angles)
h = 70° (Vertical angles)
Measure of angles d and h are are not equal. therefore they are not congruent.
Answer:
$123.25
Step-by-step explanation:
A selling price reflecting a 45% markup can be found by multiplying the wholesale price ($85) by (1 + 0.45), or 1.45:
1.45($85) = $123.25
Explanation:
In the given identified the following with reasons.
1. Given
2. Corresponding Angles postulate
3. Reflexive property of congruence
4. AA similarity postulate.
5. Triangle proportionate
6. Cross multiply
7. Distributive property of equality
8. Subtraction property of equality
9. Division property of equality
10. Prove
Answer:
15.7 feet
Step-by-step explanation:
What we are looking for here is the perimeter/circumference of the table. The formula for the circumference of a circle is diameter x pi. The diameter is 2x the radius so I did 5 x 3.14, 3.14 being in place for pi. Hope this helps! : )
