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SCORPION-xisa [38]
2 years ago
11

-3 - 3x = -4(2x + 7)

Mathematics
1 answer:
Marizza181 [45]2 years ago
5 0

Answer :    x=−5

Step-by-step explanation: Step 1: Simplify both sides of the equation.

−3−3x=−4(2x+7)

−3+−3x=(−4)(2x)+(−4)(7)(Distribute)

−3+−3x=−8x+−28

−3x−3=−8x−28

Step 2: Add 8x to both sides.

−3x−3+8x=−8x−28+8x

5x−3=−28

Step 3: Add 3 to both sides.

5x−3+3=−28+3

5x=−25

Step 4: Divide both sides by 5.

5x /5 =  −25 /5

x=−5

Answer:

x=−5

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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
2 years ago
Xx squared - XY + x squared - xy ​
EastWind [94]

Answer and Step-by-step explanation:

x^{2} - xy + x^{2} -xy\\\\2x^{2} -2xy

This is the answer.

4 0
2 years ago
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Find the area of the circle with a circumference of 50.24 units help me plz
swat32
Circumference of a circle=diameter times pi

50.24=d(3.14)
d=16

radius is half of diameter so radius is 8

Area of a circle=pi(r^2)

(3.14)(8^2)=(3.14)(64)=200.96
4 0
3 years ago
-3x=4(3x-2)+1<br> What is the solution for x?
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Use a app called photo math it works good.
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Write the eqauation of a line that has the slope pf 6 passes through (-3,5)
Darina [25.2K]
Y = mx + b
slope(m) = 6
(-3,5)...x = -3 and y = 5
now we sub and find b, the y int
5 = 6(-3) + b
5 = -18 + b
5 + 18 = b
23 = b

so ur equation is : y = 6x + 23
6 0
2 years ago
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