All categories

3 years ago

A linear relationship with a slope of 2 and a y-intercept of 3

Mathematics

2 answers:

nikdorinn [45]3 years ago

5 0

Answer:

y = 2x+3

Step-by-step explanation:

Formula: mx+b

m = slope

b = y-intercept

----

m = 2

b = 3

so y = 2x+3 is the linear relationship

qwelly [4]3 years ago

4 0

Answer:

The linear relationship is represented by y = 2x + 3.

Step-by-step explanation:

We are given a y-intercept of an equation as well as a slope:

slope = 2
y-intercept = 3

We can use this information and substitute it into the slope-intercept form equation to get our linear relationship:

y = mx + b

In this formula, m is our slope and b is our y-intercept.

Therefore:

m = 2
b = 3

Finally, let us substitute these into the equation:

$y = 2x + 3$

This is our final equation.

You might be interested in

Assume the sample variances to be continuous measurements. Find the probability that a random sample of 25observations, from a n

konstantin123 [22]

Answer:

a) $P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

b) $P(13.848$ Step-by-step explanation:

Previous concepts

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

For this case we assume that the sample variance is given by $S^2$ and we select a random sample of size n from a normal population with a population variance $\sigma^2$ . And we define the following statistic:

$T = \frac{(n-1) S^2}{\sigma^2}$

And the distribution for this statistic is $T \sim \chi^2_{n-1}$

For this case we know that n =25 and $\sigma^2 = 6$ so then our statistic would be given by:

$\chi^2 = \frac{(n-1)S^2}{\sigma^2}=\frac{24 S^2}{6}= 4S^2$

With 25-1 =24 degrees of freedom.

Solution to the problem

Part a

For this case we want this probability:

$P(S^2 > 9.1)$

And we can multiply the inequality by 4 on both sides and we got:

$P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

And we can use the following excel code to find it: "=1-CHISQ.DIST(36.4,24,TRUE)"

Part b

For this case we want this probability:

$P(3.462 < S^2$

If we multiply the inequality by 4 on all the terms we got:

$P(3.462*4 < 4S^2 < 4*10.745)= P(13.848< \chi^2$ And we can find this probability like this: $P(13.848$ And we use the following code to find the answer in excel: "=CHISQ.DIST(42.98,24,TRUE)-CHISQ.DIST(13.848,24,TRUE)"