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4 years ago

In the right triangle shown below, what is the value of x?

Mathematics

1 answer:

Zarrin [17]4 years ago

4 0

Answer:

12.1 option C

Step-by-step explanation:

By using Pythagoras Theorem,

${x}^{2} = {(11)}^{2} + {(5)}^{2}$

$x = \sqrt{121 + 25} = \sqrt{146}$

x=12.08

x=12.1

0ption C

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Complete the statement. If a transversal intersects two parallel lines, then ___.

almond37 [142]

Answer:

alternate interior angles are always congruent.

Step-by-step explanation:

- Consecutive [Same-side] exterior angles are always supplementary.

- Consecutive [Same-side] interior angles are always supplementary.

- Corresponding angles are always congruent.

I am joyous to assist you anytime.

4 0

3 years ago

Read 2 more answers

In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour

Lesechka [4]

Answer:

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

Step-by-step explanation:

Previous concepts

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".

$\bar X=54$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=21$ represent the sample standard deviation

n=16 represent the sample size

Solution to the problem

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

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

Now we have everything in order to replace into formula (1):

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

4 0

4 years ago

Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69.569.5 bpm.

Shtirlitz [24]

Answer:

a) $\mu =69.5$

b) Null hypothesis: $\mu =69.5$

Alternative hypothesis: $\mu \neq 69.5$

And we can use a t test procedure in order to check if the true mean is equat to the desired value.

Step-by-step explanation:

For this case we know that this:

Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69.5 bpm

Part a

If we convert this with symbols we can write this as:

$\mu =69.5$

Part b

We have the following info given:

$\bar X= 69.9$ represent the sample mean

$n =131$ represent the sample size

We have the following system of hypothesis:

Null hypothesis: $\mu =69.5$

Alternative hypothesis: $\mu \neq 69.5$

And we can use a t test procedure in order to check if the true mean is equat to the desired value.

8 0

3 years ago

Solve the following systems of equations. -x + y = -2 and y= -4x + 3

Yanka [14]

Answer:

y = -1

x = 1

Step-by-step explanation:

as I have done the equation in the picture, I decided to re-write the second equation so that it's easier for me to use.

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3 years ago

You borrow $1000 at 6% simple interest for a year how much do you have to pay back?

Rainbow [258]

Answer:150

Step-by-step explanation:

So every year the interest will be $1000 * 5 / 100 = $50. That is, after 3 years 3 * $50 = $ 150. Simple interest does not take into account the reduction of the principal but calculates the interest over the same initial amount, in this case $1000. So, the answer is $150, which is the result of $50 times 3.

4 0

3 years ago