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3 years ago

Help with this proof

Mathematics

1 answer:

JulijaS [17]3 years ago

7 0

If you draw diagonal EG, then triangle EFG is congruent to triangle EHG since they have 3 congruent sides.

This means that angle FEG is congruent to angle HGE. Since the alternate angles are equal, they must be bounded by parallel lines i.e. EF is parallel to HG.

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The ratio of girls to boys in jame’s chorus is 2 to 4. If there are 25 girls in her chorus, how many boys are there ?

Brilliant_brown [7]

Answer:

There are 50 boys

Step-by-step explanation:

girls to boys - 2:4

so 25x2=50

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3 years ago

- IZ

Yakvenalex [24]

Step-by-step explanation:

Subtract initial amount (300) and final (150). from there you get 150 dollars that was lost. We know that every step you 5 dollars so then divide 150 and 5 to get 30. So the distance was 30 steps.

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2 years ago

What set does not contain the number 3

xxTIMURxx [149]

Answer:2

Step-by-step explanation;

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2 years ago

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Which of the following is most likely the next step in the series?<br>

Andrej [43]

Answer:

Step-by-step explanation:

They are increasing by 1 vertically. Hope this helps!! :)

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2 years ago

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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

Stells [14]

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%

3 0

2 years ago