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julsineya [31]
3 years ago
9

Which answer js the graph of x ≤2

Mathematics
2 answers:
Natali5045456 [20]3 years ago
5 0

Hey!

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We have the function x ≤ 2. When x is the function then it's going to be a vertical stretch at a x value. In this case it says that 2 is greater then x so the line would be at the point (2, 0).

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Then we have a dilemma where we don't know which line to use. Their is a dashed line and a full line.

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The full line represents ≤ and ≥

The dashed line represents < and >

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Now, we know that we need a full line.

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Answer is in the picture below :)

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Hope This Helped! Good Luck!

GaryK [48]3 years ago
5 0
I don’t see all the choices. It will be a vertical solid line that is on the 2 of the x line and it will be shaded on the left.
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The mean annual income for people in a certain city is 37 thousand dollars, with a standard deviation of 28 thousand dollars. A
Aloiza [94]

Answer:

P( 31 < \bar X< 41)

And we can ue the z score formula given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using this formula we got for the limits:

z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515

z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01

So we want to find this probability:

P(-1.515

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the annual income of a population, and for this case we know the following info:

\mu=37 and \sigma=28  and we are omitting the zeros from the thousand to simplify calculations

We select a sample size of n=50>30.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want to find this probability:

P( 31 < \bar X< 41)

And we can ue the z score formula given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using this formula we got for the limits:

z = \frac{31-37}{\frac{28}{\sqrt{50}}}= -1.515

z = \frac{41-37}{\frac{28}{\sqrt{50}}}= 1.01

So we want to find this probability:

P(-1.515

4 0
3 years ago
Which of the following expressions can be used to calculate the slope of a line passing through (x1,y1) and (x2,y2)?
Ganezh [65]

Answer:

Option d.

y2-y1/X2-X1

Step-by-step explanation:

I hope it helped U

stay safe stay happy

6 0
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Of the 50 tables in a restaurant, 40% seat 2 people. The remaining tables seat 4 people. How many seats are there in the restaur
VikaD [51]
Okay. 40% of 50 is 20. 2 * 20 is 40. The other 30 tables seat 4 people. 4 * 30 is 120. 120 + 40 is 160. There are 160 seats in the restaurant.
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Suppose that Y and Z are points on a number line if YZ=20 and Y lies at 3 where could Z be located
creativ13 [48]
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Last year,Jim opened an investment account with $7400. At the end of the year, the amount in account had increased by 26.5%. How
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Step-by-step explanation:

I=prt

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I=$1961

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7 0
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