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3 years ago

Help! JH is a mid-segment of KLM. Find the value of x.

Mathematics

1 answer:

USPshnik [31]3 years ago

7 0

JH = mid-segment of triangle KLM.

ML = 22

(1/2)(ML) = 11

JH = (1/2)(ML) = x

So, x = 11.

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Tricia wants to create a path using pebbles. She has 8 bags of pebbles and each bag covers an area of about 6 square feet. If sh

ANEK [815]

24 feet long
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your answer is 24 feet long

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4 years ago

A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determinin

riadik2000 [5.3K]

Answer:

Option b - not significantly greater than 75%.

Step-by-step explanation:

A random sample of 100 people was taken i.e. n=100

Eighty of the people in the sample favored Candidate i.e. x=80

We have used single sample proportion test,

$p=\frac{x}{n}$

$p=\frac{80}{100}$

$p=0.8$

Now we define hypothesis,

Null hypothesis $H_0$ : candidate A is significantly greater than 75%.

Alternative hypothesis $H_1$ : candidate A is not significantly greater than 75%.

Level of significance $\alpha=0.05$

Applying test statistic Z -proportion,

$Z=\frac{\widehat{p}-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}$

Where, $\widehat{p}=80\%=0.80$ and $p=75%=0.75$

Substitute the values,

$Z=\frac{0.80-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}$

$Z=\frac{0.80-0.75}{\sqrt{\frac{0.1875}{100}}}$

$Z=\frac{0.05}{0.0433}$

$Z=1.1547$

The p-value is

$P(Z>1.1547)=1-P(Z$

$P(Z>1.1547)=1-0.8789$

$P(Z>1.1547)=0.1241$

Now, the p-value is greater than the 0.05.

So we fail to reject the null hypothesis and conclude that the A is not significantly greater than 75%.

Therefore, Option b is correct.

7 0

3 years ago

Which explanation correctly tells whether these ratios are equivalent and why?

Reptile [31]

<h3><u>Answer:</u></h3>

<u>Option A (Yes because 3 x 2 = 6 and 14 x 2 = 28.) is correct.</u>

<h3><u>Step-by-step explanation:</u></h3>

<u>This is because if we simplify 3/6 and 14/28, both of them will get 1/2. This means that only A and C are possible.</u>

=> Option A is correct because 3 x 2 does equal 6 and 14 x 2 does equal 28.
=> Option C is incorrect because 3 x 5 does not equal 14 and 6 x 5 does not equal 28.

Hoped this helped.

$BrainiacUser1357$

6 0

3 years ago

How do I calculate percentage is a number? Ex. 30% is 15

puteri [66]

You first divide the number by 100 and then multiply it by the percentage that you are given

5 0

3 years ago

Read 2 more answers

Solve: (-5) + (-18) <br><br>A -23<br><br>B- 13<br><br>C 13<br><br>D 23

Lina20 [59]

The answer would be -23

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3 years ago