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3 years ago

Which absolute value expression represents the distance between the points shown on the number line?

Mathematics

1 answer:

stich3 [128]3 years ago

3 0

Answer:

We will take option B.

Step-by-step explanation:

Option A) |4 − 1| = 3 units

Option B) |4 − (−1)| = 5 units

Option C) |−4 + (−1)| = 5 units

Option D) |−4 − (−1)| = 3 units.

Now, from the number line and from the points given on the number line it is clear that the distance from one point to another is 5 units.

So. option B or Option C can be the right one.

Now, the right side point is on +4 point and the left side point is on -1 point.

So, the distance between those points will be calculated as 4 - (- 1) = 5.

Therefore, we will take option B. (Answer)

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According to the US Bureau of Labor Statistics publication News, self-employed persons with home-based businesses work a mean of

worty [1.4K]

Answer:

The answer is below

Step-by-step explanation:

Given that mean (μ) = 23 hours, standard deviation (σ) = 10 hours

a) The population is a group of self employed home based workers while the variable is the number of hours worked per week.

b) The mean of the distribution of sample means (also known as the Expected value of M) is equal to the population mean μ.

$\mu_x=\mu=23\ hours$

The standard deviation of the distribution of sample means is called the Standard Error of M, it is given by:

$\sigma_x=\sigma/\sqrt{n} =\frac{10}{\sqrt{100} }=1$

c) $\mu_x=\mu=23\ hours$

$\sigma_x=\sigma/\sqrt{n} =\frac{10}{\sqrt{1000} }=0.32$

d) The sample size has no effect on the mean, hence increasing the sample size does not change the mean.

The square root of sample size is inversely proportional to the standard deviation therefore increasing the sample size reduces the standard deviation.

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3 years ago

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insens350 [35]

If you subtract the $9.60 from the $53.70 you would be taking out the tip which would be $44.10. Then if you divide the $44.10 by 2, because they both payed equally, you would get $22.05 per person, not including the tip.

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3 years ago

PLZZZ HLPPP MEEE The S's in the SSS Similarity theorem states that two triangles are similar if they have ___________ proportion

Zigmanuir [339]

Answer:

Step-by-step explanation:

SSS similarity states that all 3 sides must be proportional for the triangles to be similar

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3 years ago

5?10 5 5, dot, 10, start superscript, 5, end superscript is how many times as large as 1\cdot10^51?10 5 1, dot, 10, start supers

max2010maxim [7]

Answer:

5 times as large

Step-by-step explanation:

The ratio of the two numbers tells you how many times as large one is as the other:

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3 years ago

Four more than the quotient of a number,n,and 8 is 28

strojnjashka [21]

N/8+4=28.
This is how you write out this equation.

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3 years ago