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3 years ago

Y = -x + 3 X+ y=20 Are the lines parallel?

Mathematics

1 answer:

diamong [38]3 years ago

8 0

Answer:

Yes

Step-by-step explanation:

If we put both equations in slope-intercept form, we have

y=-x+3

y=-x+20

Both lines have the same slope of (-1).

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A sample of 5 buttons is randomly selected and the following diameters are measured in inches. Give a point estimate for the pop

Helen [10]

Answer:

$s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}$

But we need to calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_I}{n}$

And replacing we got:

$\bar X = \frac{ 1.04+1.00+1.13+1.08+1.11}{5}= 1.072$

And for the sample variance we have:

$s^2 = \frac{(1.04-1.072)^2 +(1.00-1.072)^2 +(1.13-1.072)^2 +(1.08-1.072)^2 +(1.11-1.072)^2}{5-1}= 0.00277\ approx 0.003$

And thi is the best estimator for the population variance since is an unbiased estimator od the population variance $\sigma^2$

$E(s^2) = \sigma^2$

Step-by-step explanation:

For this case we have the following data:

1.04,1.00,1.13,1.08,1.11

And in order to estimate the population variance we can use the sample variance formula:

$s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}$

But we need to calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_I}{n}$

And replacing we got:

$\bar X = \frac{ 1.04+1.00+1.13+1.08+1.11}{5}= 1.072$

And for the sample variance we have:

$s^2 = \frac{(1.04-1.072)^2 +(1.00-1.072)^2 +(1.13-1.072)^2 +(1.08-1.072)^2 +(1.11-1.072)^2}{5-1}= 0.00277\ approx 0.003$

And thi is the best estimator for the population variance since is an unbiased estimator od the population variance $\sigma^2$

$E(s^2) = \sigma^2$

3 0

3 years ago

What is the exact volume of the cylinder?<br> Enter your answer, in terms of it, in the box.

Naddik [55]

Answer:

volume of cylinder : πr²×h = π × 5² × 15 = 375π ≈ 1177.5 cm³

7 0

3 years ago

Tim and Tom are painters. Tim and Tom use a liters of paint on a large shipping crate. If the next crate they need to paint is s

antiseptic1488 [7]

This is the concept algebra.
Volume of of paint that is required to paint large shipping crate is a liters.
suppose the volume of this crate is x cubic units.
The volume of the next crate to be painted will be 2x cubic units.
Hence the amount of paint required to paint the crate will be:
(volume of bigger crate)/(volume of smaller crate)×(volume of liters required to paint the first crate)
=(2x)/(x)×a
=2a liters
To paint the new crate 2a liters of oil is needed.

5 0

3 years ago

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Arisa [49]

Miles is going to spend fewer hours bicycling this week than he did last year.

6 0

4 years ago

Li rolls a number cube labeled 1 to 6 a total of 24 times. How many times can she expect to roll a 1

scoundrel [369]

Li can expect to roll a one 4 times.

Since there are six possibilities (1, 2, 3, 4, 5 & 6), you divide 24 and 6 to get 4.

8 0

3 years ago

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