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4 years ago

What is the value of c? units?

Mathematics

2 answers:

ehidna [41]4 years ago

6 0

You may recognize that ∆WYZ is a 3-4-5 right triangle. Without any work, then
c = 5

_____
If you don't remember that a right triangle with legs 3 and 4 has a hypotenuse of 5, you can compute it using the Pythagorean theorem.
c² = 3² + 4²
c² = 9 + 16 = 25
c = √25 = 5

yuradex [85]4 years ago

5 0

We can use the Pythagorean theorem to find c. This theorem says that a^2 + b^2 = c^2 where a and b are the opposite and adjacent, and c is the hypotenuse. In this case 3 and 4 serve as a and b.

3^2 + 4^2 = c^2 9 + 16 = c^2 25 = c^2 sqrt(25) = c5 = c So c is 5 units.

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The manager of a local nightclub has recently surveyed a random sample of 280 customers of the club. She would now like to deter

Lunna [17]

Answer:

$z = \frac{35.6-35}{\frac{5}{\sqrt{280}}}= 2.007$

$p_v = P(z>2.007) = 0.0224$

Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:

We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.

Step-by-step explanation:

We have the following info given:

$\bar X = 35.6$ represent the sampel mean for the age of customers

$\sigma = 5$ represent the population standard deviation

$n = 280$ represent the sample size selected

We want to test if the mean age of her customers is over 35 so then the system of hypothesis for this case are:

Null hypothesis: $\mu \leq 35$

Alternative hypothesis $\mu >35$

The statistic for this case is given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And replacing the data given we got:

$z = \frac{35.6-35}{\frac{5}{\sqrt{280}}}= 2.007$

We can calculate the p value since we are conducting a right tailed test like this:

$p_v = P(z>2.007) = 0.0224$

Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:

We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.

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3 years ago

Find the size of the final unknown interior angle in a polygon whose other interior angles are:

qaws [65]

Answer:

Step-by-step explanation:(2ñ-4)90

(7×2-4)90

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900-(162+125+148+105+98+115)

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3 years ago

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Answer:

Step-by-step explanation:

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d. is wrong because -1 has 2 outputs.

so this is what makes a function and what doesn't. Hope this helps!

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