Refer to the equation 2x − 3y = 18.

1 answer:

7 0

First, you should rearrange your equation using simple algebra

2x-3y-18=0
2x-18=3y
(2x/3)-6=y

the y intercept has an x coordinate of 0, so substitute 0 as x in your equation to find the y-int.

the x intercept has a y coordinate of 0, so substitute 0 as y in your equation and algebraically solve for the x-int

to make the table of values, just substitute different values in for x in the equation

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An investigator wants to estimate caffeine consumption in high school students. how many students would be required to estimate

astraxan [27]

We can solve this problem by referring to the standard probability distribution tables for z.

We are required to find for the number of samples given the proportion (P = 5% = 0.05) and confidence level of 95%. This would give a value of z equivalent to:

z = 1.96

Since the problem states that it should be within the true proportion then p = 0.5

Now we can find for the sample size using the formula:

n = (z^2) p q /E^2

where,

p = 0.5

q = 1 – p = 0.5

E = estimate of 5% = 0.05

Substituting:

n = (1.96^2) 0.5 * 0.5 / 0.05^2

n = 384.16

Around 385students are required.