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Digiron [165]
2 years ago
10

Which system of linear inequalities has the point (3, –2) in its solution set?

Mathematics
2 answers:
denis23 [38]2 years ago
4 0

Answer:

see below

Step-by-step explanation:

We want where  both inequalities are true

y > -3

-2 >-3  this is true

y ≥ 2/3x -4

-2≥ 2/3*3 -4

-2 ≥ 2 -4

-2≥ -2

This is true

This is is the graph

Gala2k [10]2 years ago
4 0

Answer:

\boxed{\sf Option \ 3}

Step-by-step explanation:

\sf The \ values \ must \ be \ true \ for \ both \ inequalities.

x = 3\\y = -2

y>-3\\-2>-3\\ \sf True

y\geq \frac{2}{3}x-4  \\ -2\geq \frac{2}{3}(3)-4\\2\geq 2-4\\-2\geq-2  \\ \sf True

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Range of scores making up the interquartile ranger
Nostrana [21]

For a standard normally distributed random variable <em>Z</em> (with mean 0 and standard deviation 1), we get a probability of 0.0625 for a <em>z</em>-score of <em>Z</em> ≈ 1.53, since

P(<em>Z</em> ≥ 1.53) ≈ 0.9375

You can transform any normally distributed variable <em>Y</em> to <em>Z</em> using the relation

<em>Z</em> = (<em>Y</em> - <em>µ</em>) / <em>σ</em>

where <em>µ</em> and <em>σ</em> are the mean and standard deviation of <em>Y</em>, respectively.

So if <em>s</em> is the standard deviation of <em>X</em>, then

(250 - 234) / <em>s</em> ≈ 1.53

Solve for <em>s</em> :

16/<em>s</em> ≈ 1.53

<em>s</em> ≈ 10.43

4 0
3 years ago
Calculating the degrees of freedom, the sample variance, and the estimated standard error for evaluations.
ki77a [65]

Answer:

The variance is  \sigma ^2  =25

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  21

     The sum of squares is SS =  500

Generally the variance is mathematically represented as

           \sigma ^2  = \frac{SS}{n- 1}

substituting values

          \sigma ^2  = \frac{ 500}{21- 1}

          \sigma ^2  =25

   

4 0
3 years ago
In a standard television set, the screen height is 0.75 times the screen width. If a television set measures 34 inches along the
S_A_V [24]
We can solve this by using the  P<span>ythagorean theorem which is below:

a^2 + b^2 = c^2

Or we can say
</span>w^2 + h^2 = d^2
<span>w = widht
h = height
d = diagonal measure


With that said, we know the height is .75 times the width so .75w. We also know d = 34, which is our diagonal measure.
w = don't know yet but need to find
h = .75w
d = 34
Now lets plugin the information we know into our equation

</span>w^2 + h^2 = d^2
w^2 + (.75w)^2 = 34^2
Now lets to the math
w^2 + (.75w)^2 = 34^2
w^2 + (.75w)^2 = 1156
w^2 + .5625w^2 = 1156
Combine like terms
w^2 + .5625w^2 = 1156
1.5625w^2 = 1156
Divide both sides of the equal sign by 1.5625
\frac{1.5625w^2}{1.5625} = \frac{1156}{1.5625}
w^2 = 739.84
Now take the square root on both sides of the equal sign
\sqrt{w^2} = \sqrt{739.84}
w = 27.2

So the width is 27.2
We can check this by putting 27.2 back into our original equation
w^2 + (.75w)^2 = 34^2
27.2^2 + (.75\times 27.2)^2 = 34^2



3 0
3 years ago
Determine the average rate of change for the graphs below!
IceJOKER [234]
The atajan of that wheat of the graph is lowland of the quake
7 0
2 years ago
Whats the product of 6 and<br><br> q
nevsk [136]

Answer:

6q or 6 * q

Step-by-step explanation:

As you do not know what the value of the variable q is, you are essentially changing it from word form to expression form.

"product" in math means multiply, so you are multiplying 6 with q.

6q is your answer.

~

7 0
3 years ago
Read 2 more answers
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