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Brilliant_brown [7]
2 years ago
5

What is the function rule for the line?

Mathematics
1 answer:
ludmilkaskok [199]2 years ago
6 0

A: Slope:  

2

3

y-intercept:  

(

0

,

−

2

)

x

y

0

−

2

3

0

You might be interested in
KJ=3x+12 And KH=6x-15. What is KG?
Andreyy89

Answer:

39


Step-by-step explanation:

3x + 12 = 6x - 15

6x - 3x = 12 + 15

3x = 27

x = 9


KJ = KH = KG = 3x + 12

KG = 3.(9) + 12

KG = 27 + 12

KG = 39


I hope I helped you.

7 0
3 years ago
Find the distance between the two points.
stealth61 [152]

Answer:

13

Step-by-step explanation:

(4,-5)(-1,7)

If you make a triangle and use the Pythagorean Theorem, the two legs have a distance of 5 and 12. 5^{2}+12{2}=25+144=169. The square root of 169 is 13.

4 0
3 years ago
X + 4.2 = 7 what is x
ANEK [815]

In this question, you're solving for x.

Solve for x:

x + 4.2 = 7

You need to get x by itself, to do so, you would need to subtract 4.2 from both sides:

x = 2.8

Answer:

x = 2.8

6 0
3 years ago
Determine the sample size needed to construct a 90% confidence interval to estimate the population proportion when p = 0.65 and
WINSTONCH [101]

Answer:

n=170

Step-by-step explanation:

1) Notation and definitions

n random sample taken (variable of interest)

\hat p=0.65 estimated proportion.

p true population

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 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=\pm 1.64

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 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)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.65(1-0.65)}{(\frac{0.06}{1.64})^2}=169.968  

And rounded up we have that n=170

6 0
3 years ago
I need helpppppppp!!!!
kati45 [8]

What do you need help with?

8 0
3 years ago
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