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2 years ago

When are the lines parallel?

Mathematics

1 answer:

Salsk061 [2.6K]2 years ago

4 0

Answer:

Step-by-step explanation:

When we write out the slope-intercept form of the systems of equations for A:

y = 5 - 2/3x

y = 1 - 2/3x

Parallel lines have the same slope but different y-intercept. Therefore, our answer is A.

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A pipe is at least 21 feet long and you want to cut it into 3 pieces. The second piece is to be twice as long as the first piece

fgiga [73]

Answer:

the minimum length of the first piece is 4 feet

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2 years ago

3f+2g=30 and f+2g=26

tatuchka [14]

3f + 2g = 30 . . .(1)
f + 2g = 26 . . . .(2)

(1) - (2) => 2f = 4 => f = 4/2 = 2

From (2), 2 + 2g = 26 => 2g = 26 - 2 = 24 => g = 24/2 = 12

Therefore, f = 2 and g = 12

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2 years ago

Ellis is painting wooden fenceposts before putti by then in his yard. They are each 5 feet tall and have a diameter of 1 foot. T

lawyer [7]

Answer:

39.25

Step-by-step explanation:

diameter. is 1 therefore radius is 1/2

formula is πr²h

where

h is height=5

=3.14x½²x5

=3.925 for one paint

therefore for 10 paints, we have

=3.925x10

=39.25

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2 years ago

PLEASE HELPP!! WILL GIVE BRAINLIEST + 25 POINTS!!

enyata [817]

Answer:

x = -9/4

Step-by-step explanation:

−2(x + 1/4) + 1 = 5

Subtract 2 from both sides.

−2(x + 1/4) = 4

Divide both sides by -2.

x + 1/4 = -2

Subtract 1/4 from both sides.

x = -2 1/4

x = -9/4

4 0

2 years ago

A cereal box filling machine is designed to release an amount of 16 ounces of cereal into each box, and the machine’s manufactur

Paraphin [41]

Using the z-distribution, it is found that since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean is not different to 16 ounces, that is:

$H_0: \mu = 16$

At the alternative hypothesis, it is tested if the mean is different, hence:

$H_1: \mu \neq 16$

<h3>What is the test statistic?</h3>

The test statistic is:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

$\sigma$ is the standard deviation of the population.

n is the sample size.

The parameters for this problem are:

$\overline{x} = 15.75, \mu = 16, \sigma = 1.46, n = 150$ .

Hence:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{15.75 - 16}{\frac{1.46}{\sqrt{150}}}$

z = -2.1

<h3>What is the p-value and the conclusion?</h3>

Using a z-distribution calculator, for a two-tailed test, as we are testing if the mean is different of a value, with z = -2.1, the p-value is of 0.0357.

Since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ1

3 0

1 year ago