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4 years ago

A triangle has sides with lengths of 18 inches, 24 inches, and 30 inches. Is it a right triangle?

Mathematics

2 answers:

kolezko [41]4 years ago

7 0

Yes because
a^2+b^2=c^2
18^2+24^2=30^2
324+576=900
900=900
All create a right triangle

Aliun [14]4 years ago

4 0

Answer:

yes

Step-by-step explanation:

18^2 + 24^2 = 30^2

324 + 576 = 900

900 = 900

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Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technolog

lara31 [8.8K]

Answer:

$SE=\sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.35 (1-0.35)}{100}}=0.048$

If we replace the values obtained we got:

$0.35 - 1.96\sqrt{\frac{0.35(1-0.35)}{100}}=0.257$

$0.42 + 1.96\sqrt{\frac{0.42(1-0.42)}{150}}=0.443$

The 95% confidence interval would be given by (0.257;0.443)

Step-by-step explanation:

Notation and definitions

$X=35$ number of people that agree.

$n=100$ random sample taken

$\hat p=\frac{35}{100}=0.35$ estimated proportion of people that agree

$p$ true population proportion of peopl that agree

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

The standard error is given by:

$SE=\sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.35 (1-0.35)}{100}}=0.048$

If we replace the values obtained we got:

$0.35 - 1.96\sqrt{\frac{0.35(1-0.35)}{100}}=0.257$

$0.42 + 1.96\sqrt{\frac{0.42(1-0.42)}{150}}=0.443$

The 95% confidence interval would be given by (0.257;0.443)

6 0

4 years ago

Read 2 more answers

Cross multiply to get answer<br> x + 5/10 = 2x-3/15

Andreyy89

Once cross multiplied you end up with this:

15x+75=20x−30

Next subtract 20x from both sides.

15x+75−20x=20x−30−20x

−5x+75=−30 -----------> Answer

Now subtract 75 from both sides

−5x+75−75=−30−75

−5x=−105

Now divide by -5 on both sides.

-5/-5x = -105/-5

<h3 /><h3>x = 21 --------------> ANSWER</h3>

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3 years ago

Given that f(x) = x² +8x+3 and g(x) = -x-7, which of the following is true?

Valentin [98]

B and C make sense to me.

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3 years ago

29 degrees C to Fahrenheit.

Shtirlitz [24]

Answer:

29 degrees Celsius are 84.2 Fahrenheit.

Step-by-step explanation:

In order to convert Celsius to Fahrenheit you can use this formula: $F = C * 1.8 + 32$ .

Here we have $F = 29 * 1.8 + 32$ which equals 84.2. Instead of 1.8 you can use the fraction $\frac{9}{5}$ if you wish so.

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