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3 years ago

Please show your work

Mathematics

1 answer:

Karolina [17]3 years ago

5 0

Answer:

a) - 10

Step-by-step explanation:

The two angles are vertical angles:

Angles that have a common vertex and whose sides are formed by the same lines.

Therefore, set your formula up as following

x+5=2x-5

x + 5 - 2x = -5

-x + 5 = -5

-x = -10

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X divided by six eqauls twentyfive<br><br> x/6=25

mojhsa [17]

Answer:

Step-by-step explanation:

x / 6 = 25

x = 25 (6)

x = 150

8 0

3 years ago

Read 2 more answers

When consumers apply for credit, their credit is rated using FICO (Fair, Isaac, and Company) scores. Credit ratings are given be

Flura [38]

Answer:

a) The 99% confidence interval would be given by (589.588;731.038)

b) If we see the confidence interval the 620 is included on the interval we don't have enough evidence to reject the rating is 620. But since we need a score that at least 620 and our lower limit is 589.588 we cant conclude that all the clients would have a score that at least of 620.

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".

The data is:

661 595 548 730 791 678 672 491 492 583 762 624 769 729 734 706

Part a

Compute the sample mean and sample standard deviation.

In order to calculate the mean and the sample deviation we need to have on mind the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$

=AVERAGE(661, 595, 548, 730, 791, 678, 672, 491 ,492, 583, 762 ,624 ,769, 729, 734, 706)

On this case the average is $\bar X= 660.313$

=STDEV.S(661, 595, 548, 730, 791, 678, 672, 491 ,492, 583, 762 ,624 ,769, 729, 734, 706)

The sample standard deviation obtained was s=95.898

Find the critical value t* Use the formula for a CI to find upper and lower endpoints

In order to find the critical value we need to take in count that our sample size n =16<30 and on this case we don't know about the population standard deviation, so on this case we need to use the t distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . The degrees of freedom are given by:

$df=n-1=16-1=15$

We can find the critical values in excel using the following formulas:

"=T.INV(0.005,15)" for $t_{\alpha/2}=-2.95$

"=T.INV(1-0.005,15)" for $t_{1-\alpha/2}=2.95$

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

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$

And if we find the limits we got:

$660.313- 2.95\frac{95.898}{\sqrt{16}}=589.588$

[tex]660.313+ 2.95\frac{95.898}{\sqrt{16}}=731.038/tex]

So the 99% confidence interval would be given by (589.588;731.038)

Part b

If we see the confidence interval the 620 is included on the interval we don't have enough evidence to reject the rating is 620. But since we need a score that at least 620 and our lower limit is 589.588 we cant conclude that all the clients would have a score that at least of 620.

4 0

3 years ago

2. Find the area and circumference of the circle to the right.<br>16.6 m<br>

adoni [48]

Answer:

AREA:

$A=216.42m^2$

CIRCUMFERENCE:

$C=52.15m$

Step-by-step explanation:

The formula that is used to calculate the area of a circle is:

$A=\pi r^2$

Where "r" is the radius of the circle.

The formula for calculate the circumference of a circle is:

$C=2\pi r$

Where "r" is the radius of the circle.

Then, you need to find the radius. This is:

$r=\frac{16.6m}{2}=8.3m$

Substituting the radius, you get that the area and the circumference are:

AREA:

$A=\pi (8.3m)^2=216.42m^2$

CIRCUMFERENCE:

$C=2\pi (8.3m)=52.15m$

7 0

3 years ago

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How do u simplify an expression?<br> Plz, try to make it steps?

krok68 [10]

Here are the basic steps to follow to simplify an algebraic expression:<span>remove parentheses by multiplying factors.
use exponent rules to remove parentheses in terms with exponents.
combine like terms by adding coefficients.
<span>combine the constants.</span></span>

5 0

4 years ago

Hey you can help me out with this

iogann1982 [59]

Answer:

Step-by-step explanation:

To find the angles of any shape with all sides equal in length, we use the formula:

$\frac{(n-2)*180}{n}$ , where n is the number of sides