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andreyandreev [35.5K]
3 years ago
5

Which statement about a data set provides the most information about the variability of the data?

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
8 0

Answer:

<u>D. The range of the data set is 18.</u>

Step-by-step explanation:

The question asks for the variability of the data.

That means it refers to the range of the data.

It shows how variable the data points in a set are.

<u>Option D</u> is the best answer.

KIM [24]3 years ago
3 0
I would also say option D!
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Find the ratio in which the line joining the points (2, 4, 16) and (3, 5, -4) is divided by the plane 2x – 3y+ z+ 6 = 0. Also fi
Nastasia [14]

Answer:

Step-by-step explanation:

let the plane intersects the join of points in the ratio k:1

let (x,y,z) be the point of intersection.

x=\frac{3k+2}{k+1} \\y=\frac{5k+4}{k+1} \\z=\frac{-4k+16}{k+1} \\\because ~(x,y,z)~lies~on~the~plane.\\2(\frac{3k+2}{k+1} )-3(\frac{5k+4}{k+1} )+\frac{-4k+16}{k+1} +6=0\\multiply~by~k+1\\2(3k+2)-3(5k+4)+(-4k+16)+6(k+1)=0\\6k+4-15k-12-4k+16+6k+6=0\\-7k+14=0\\k=2\\x=\frac{3*2+2}{2+1} =\frac{8}{3} \\y=\frac{5*2+4}{2+1}=  \frac{14}{3} \\z=\frac{-4*2+16}{2+1} =\frac{8}{3}

point of intersection is (8/3,14/3,8/3)

and ratio of division is 2:1

5 0
3 years ago
(2/3)^x-1=27/8, Find x​
alisha [4.7K]
You’re answer will be “x=-2”
6 0
3 years ago
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Phones-R-Us charges $16.95 per month and $0.05 per text message. Awesome Wireless charges $22.95 per
Dima020 [189]

Answer:

S \leq 200

Step-by-step explanation:

Given

Phone R-Us= $16.95 + $0.05 per SMS

Awesome Wireless = $22.95 + $0.02 per SMS

Required

Determine the number of SMS such that Awesome Wireless is greater or equal to Phone R-Us

Represent the SMS with S

For Phone R-Us, we have:

SMS = 16.95 + 0.05S

For Awesome Wireless, we have:

SMS = 22.95 + 0.02S

For Awesome Wireless is greater or equal to Phone R-Us, we have:

22.95 + 0.02S \geq 16.95 + 0.05S

Collect Like Terms

0.02S - 0.05S \geq 16.95 - 22.95

-0.03S \geq -6

Solve for S

\frac{-0.03S}{-0.03} \geq \frac{-6}{-0.03}

S \leq 200

<em>Hence: for Awesome Wireless to cost more or equal to Phone R-Us, the number of SMS must not exceed 200</em>

4 0
3 years ago
Jenna found three solution to a linear equation she graphed them, but they don't lie in a straight line. What errors could jenna
steposvetlana [31]

Answer:

A system of linear equation could only have 1 solution. This is because the straight lines will only have to meet, cross, or intersect each other once.

A system of linear equation could only have 1 solution. This is because the straight lines will only have to meet, cross, or intersect each other once.

There are many different methods in arriving to the final answer. However, errors cannot be perfectly avoided. One of these errors to mistakenly identify equations as linear. It is important that we know that the equations we are dealing with are of exact or correct  characteristics.

Also, if she had used substitution method, she might have mistakenly taken the value of one variable for the other.

5 0
3 years ago
Two separate linear functions are expressed by the graph and by the equation. Select all that apply.
Andre45 [30]

Answer:

First option: The slope is negative for both functions.

Fourth option: The graph and the equation expressed are equivalent functions.

Step-by-step explanation:

<h3> The missing graph is attached.</h3><h3> </h3>

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Given the equation:

y=-4x-4

We can identify that:

m=-4\\b=-4

Notice that the slope is negative.

 We can observe in the graph that y-intercept of the other linear function is:

b=-4

Then, we can substitute this y-intercept and the coordinates of a point on that line, into y=mx+b and solve for "m".

Choosing the point (-2,4), we get:

4=m(-2)-4\\\\4+4=-2m\\\\m=-4

Notice that the slope is negative.

Therefore, since the lines have the same slope and the same y-intercept, we can conclude that they are equivalent.

4 0
4 years ago
Read 2 more answers
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