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Minchanka [31]
3 years ago
13

WILL GIVE BRAINLIEST 20 POINTS

Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0

Answer:

6

Step-by-step explanation:

y=\frac{1}{2} x+5\\y=\frac{2}{3}x+4\\\frac{1}{2}x+5=\frac{2}[3}x+4\\multiply by 6\\3x+30=4x+24\\4x-3x=30-24\\x=6

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What is the mean of this data set? {6, 11, 5, 2, 7} Enter your answer as a decimal in the box.
Elenna [48]

Answer:

The mean is 6.2.

Step-by-step explanation:

The "mean" is the same thing as the "average". Essentially, the question is asking for the average of the numbers.

So:

Add up all of the terms. [6 + 11 + 5 + 2 + 7] = 31

You find the average by dividing the sum of the terms (31) by the number of terms (5).

31/5 = 6.2

The mean is 6.2.

I hope this helped! :)

4 0
2 years ago
A 20-foot ladder touches a building 16 feet up the wall. What is the measure of the angle the ladder makes with the ground (mACB
Alecsey [184]

The answer is the last option, 27°

4 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.Pleas can someone answer!
kenny6666 [7]

Answer: A, A, C

Step-by-step explanation:

Educated Guess because none of them are going to be zero so it's either A or C but the point has a negative y so to plug it all in all of them have to be negative ex. -1 + -1 + -1 =-3

the x is -1 so both have to be negative in order to get -3

5 0
3 years ago
I give 20! Help pleasee
Alexeev081 [22]

Answer:

29cm

Step-by-step explanation:

just add them all up

3 0
2 years ago
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