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3 years ago

What is the value of x??

Mathematics

1 answer:

Degger [83]3 years ago

5 0

Answer:Answer: x = 2.55

Step-by-step explanation: We will start off with triangle CBD, since it has two sides with known values.

In triangle CBD, the hypotenuse is 6 units (it's facing the right angle).

Using the Pythagoras theorem, CB² = CD² + BD²

6² = CD² + 4.2²

36 = CD² + 17.64

Subtract 17.64 from both sides of the equation

18.36 = CD²

Add the square root sign to both sides of the equation

√18.36 = CD

CD = 4.28 (approximately 4.3)

We can now solve for x in triangle ACD.

The hypotenuse is 5 (because it's facing the right angle)

Using the Pythagoras theorem

AC² = CD² + AD²

5² = 4.3² + x²

25 = 18.49 + x²

Subtract 18.49 from both sides of the equation

6.51 = x²

Add the square root sign to both sides of the equation

√6.51 = x

2.55 = x

Therefore, x = 2.55

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Using it's concept, it is found that the prevalence of frequent multivitamin use is of 0.4523 = 45.23%.

<h3>What is the prevalence of a sample?</h3>

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Step-by-step explanation:

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Read 2 more answers

An automobile owner found that 20 years ago, 72% of Americans said that they would prefer to purchase an American automobile. He

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Answer:

$z=\frac{0.884 -0.72}{\sqrt{\frac{0.72(1-0.72)}{43}}}=2.395$

Now we can find the p value taking incount that we are using a bilateral test

$p_v =2*P(z>2.395)=0.01662$

Since the p value is lower than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of Americans that they would prefer an American automobile is significantly different from 0.72 and then the claim is correct

Step-by-step explanation:

Information given

n=43 represent the random sample taken

X=38 represent the Americans who they would prefer an American automobile

$\hat p=\frac{38}{43}=0.884$ estimated proportion of Americans that they would prefer an American automobile

$p_o=0.72$ is the value that we want to check

$\alpha=0.1$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to verify if the percentage of Americans that they would prefer an American automobile today differs from 72%, then the system of hypothesis are:

Null hypothesis: $p=0.72$

Alternative hypothesis: $p \neq 0.72$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the data given we got:

$z=\frac{0.884 -0.72}{\sqrt{\frac{0.72(1-0.72)}{43}}}=2.395$

Now we can find the p value taking incount that we are using a bilateral test

$p_v =2*P(z>2.395)=0.01662$

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3 years ago