3 years ago

Determine which of the lines, if any, are parallel. Explain.

Mathematics

1 answer:

maxonik [38]3 years ago

4 0

Isolate the variable y

Line a: 3y = x+6

y = 1/3x + 2

Line b: 3y = x+18

y = 1/3 x + 6

Line c: 3y = 2x+9

y = 2/3x +3

Explanation:

Lines a and b are parallel because they have the same slope of 1/3.

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Please help, answer both questions correctly and i'll give brainliest

Bezzdna [24]

Answer:

$\frac{2}{3}$ , $\frac{27}{64}$

Step-by-step explanation:

Volume: length* height * width

In the first diagram:

$1\frac{1}{3} * 1 * \frac{1}{2} = \frac{4}{3} * 1 * \frac{1}{2} = \frac{2}{3}$

The volume is $\frac{2}{3}$ cubic feet

Next diagram:

$\frac{3}{4} * \frac{3}{4} * \frac{3}{4} = \frac{27}{64}$

The volume is $\frac{27}{64}$ cubic yards

3 0

3 years ago

Read 2 more answers

Explain how to perform a two-sample z-test for the difference between two population proportions.

Sati [7]

Point estimate for the difference between two population proportions is the difference between the two sample proportions, written as:

$\hat{p}_1-\hat{p}_2$

and the standard deviation is given by

$\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}$

When np and n(1-p) is greater than 5, then the sampling distribution is approximately normal and we can use standard normal methods.

Thus, the propability of a test <span>for the difference between two population proportions is given by

$P(X\ \textless \ x)=P\left(z\ \textless \ \frac{\hat{p}_1-\hat{p}_2}{\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}} \right)$ </span>