In the diagram of triangle ADC below, EB || DC, AE = 9, ED = 5, and AB = 9.2. What is the length of AC, to the nearest tenth?

Find the value of x and the measure of the angel labeled 6x. A. X=5; angle measure is 42 B. X=5; angel measure is 72 C. X= 5; an

Sergeu [11.5K]

Answer:

x = 5

angle measure labelled 6x is 30degrees

Step-by-step explanation:

Find the diagram attached

from the diagram;

6x = 30 (vertically opposite angle)

Divide both sides by 6

6x/6 = 30/6

x = 5

Get the angle labelled 6x

6x = 6(5)

6x = 30degrees

4 0

3 years ago

What type of angle is this? A. Straight angle B. Supplementary C. Complementary

Zigmanuir [339]

Answer:

I am going to say complementary.

Please correct me If I am wrong

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

I will mark as the brainliest answer Please show your work

swat32

3 and 5 are the answer

4 0

3 years ago

Convert 88% to a decimal. a .088 b .0088 c .88 d 8.8

Hitman42 [59]

Answer:

your answer will be c hope ur help and mark me brainlist

8 0

2 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

2 years ago