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serg [7]
1 year ago
6

Given the function g(x) = |x-5|, describe the graph of the function, including the vertex, domain, and range.

Mathematics
1 answer:
kari74 [83]1 year ago
6 0

Answer:

Step-by-step explanation:

The graph will open upwards

Shifted to the right by 5

Vertex: (5,0)

Domain: x= All Real Numbers

Range: y\geq0

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Find the small positive integer solution that solves the equation. if there is no solution, type NONE.
Degger [83]

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The equation can be rewritten to ...

  8x = 13n +4 . . . . for some integers x and n

  x = (13n +4)/8

For x to be an integer, 13n must be an odd multiple of 4. Since 13 is an odd number, n=4 will do.

  x = (13·4 +4)/8 = 56/8

  x = 7

__

The graph shows a "trial and error" method of solution. Only values of x less than 13 need to be examined.

7 0
2 years ago
The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first deter
JulsSmile [24]

Answer:

1) n=114

2) n=59

3) On this case no, because if we survey just the adults of the nearest college that would be a convenience sample. And when we use "convenience sample" we have some problems associated to bias. This methodology it's not appropiate in order to have a good estimation of the parameter of interest. It's better use a random, cluster or stratified sampling.

Step-by-step explanation:

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 population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by \alpha=1-0.80=0.2 and \alpha/2 =0.1. And the critical value would be given by:

z_{\alpha/2}=-1.28, z_{1-\alpha/2}=1.28

Part 1

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.06 or 6% points, and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

Since we don't have a prior estimate of \het p we can use 0.5 as a good estimate, replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.06}{1.28})^2}=113.77  

And rounded up we have that n=114

Part 2

On this case we have a prior estimate for the population proportion and is \hat p =0.85 so replacing the values into equation (b) we got:

n=\frac{0.85(1-0.85)}{(\frac{0.06}{1.28})^2}=58.027

And rounded up we have that n=59

Part 3

On this case no, because if we survey just the adults of the nearest college that would be a convenience sample. And when we use "convenience sample" we have some problems associated to bias. This methodology it's not appropiate in order to have a good estimation of the parameter of interest. It's better use a random, cluster or stratified sampling.

5 0
3 years ago
What is the measure of angle x°?<br> pls answer real quick 20 points
devlian [24]

Answer:

30

Step-by-step explanation:

A triangle has a total degree of 180. We already have 150(from the 60 and the right angle) 180-150 is 30

4 0
3 years ago
Read 2 more answers
What rule or property justifies line B.
Goryan [66]
I’m pretty sure it’s number two in my opinion
5 0
3 years ago
-2/3x + 2.8 = -8.2 what is x
JulsSmile [24]
-2/3x + 2.8 = -8.2 what is x
Add 2.8 on both side of the equation
-2/3x=-11
Divide both side by -2/3
x=33/2

Check: -2/3(33/2)+ 2.8 = -8.2
-11+2.8=-8.2
-8.2=-8.2

Answer is x=33/2
6 0
3 years ago
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