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3 years ago

In the diagram, the only figure that could be parallel to line

Mathematics

2 answers:

lyudmila [28]3 years ago

4 0

Answer:

The correct option is line d.

Step-by-step explanation:

The correct option is line d.

Two parallel lines are always on the same plane and never touch each other. They are always same distance apart....

kifflom [539]3 years ago

4 0

Answer:

the answer is line d . just took the test.

Step-by-step explanation:

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Select all polynomials that are divisible by (x-1).

goldenfox [79]

Answer:

The answer to your question is below

Step-by-step explanation:

*A(x)=3x³ + 2x² - x This polynomial is not divisible by (x - 1)

Factor completely 3x(x + 1)(3x - 1)

*B(x)=5x³ - 4x² - x This polynomial is divisible by (x - 1)

factor completely 3x(x - 1)(5x + 1)

*C(x)=2x³ - 3x² + 2x - 1 This polynomial is divisible by (x - 1)

Synthetic division 2 - 3 + 2 -1 1

2 -1 1

2 -1 1 0

*D(x)=x³ + 2x² + 3x + 2 This polynomial is not divisible by (x - 1)

Synthetic division 1 2 3 2 1

1 3 6

1 3 6 8

3 0

4 years ago

Mr. Hobbs has 10 blue markers, 6 black markers, and 8 red markers

Zolol [24]

Answer:

Step-by-step explanation:

Im not completely sure

8 0

3 years ago

The population of camden, New Jersey has been decreasing by 0.12% a year on average. If this trend continues, and the population

Talja [164]

By the trend that is being given above, the population of New Jersey will only be 99.88% of the population from the previous year. It may be calculated through the following equation,
P(n) = P(0) x (1 - r)^n
Substituting the values from the given above,
P(n) = 79,318 x (0.9988)^(2015 - 2006)
= 78465.47
Thus, the population will approximately be 78,466.

4 0

3 years ago

Write a word problem using the numbers 506 and 8. Then solve

natka813 [3]

Answer:

Billy is a fly enthusiast! He has a huge glass container filled with 506 flies! One day when Billy went to feed the flies, he accidentally left the screw opened for too long, and 8 flies escaped! How many flies are left in the tank?

3 0

3 years ago

A researcher studying reaction time of drivers states that, "A 95% confidence interval for the mean time (8.1) it takes for a dr

Sergio039 [100]

Answer:

For this case we know that the confidence interval is given by (1.2 , 1.8) and the point of estimate for $\mu$ would be:

$\bar X = \frac{1.2+1.8}{2}= 1.5$

And the margin of error is given by:

$ME = \frac{1.8-1.2}{2}= 0.3$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

For this case we know that the confidence interval is given by (1.2 , 1.8) and the point of estimate for $\mu$ would be:

$\bar X = \frac{1.2+1.8}{2}= 1.5$

And the margin of error is given by:

$ME = \frac{1.8-1.2}{2}= 0.3$

6 0

4 years ago