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Taya2010 [7]
2 years ago
14

Look at the data below from two random samples of a 100 students favorite lunch food from two different schools. which of the fo

llowing inferences can be made from the data above?
A. Students at Grant Middle School don't eat lunch

B. Above the same amount of pizza will be sold at both schools

C. More Students at Jackson Middle School prefer cheeseburgers

D. Students at Grant Middle School are three times more likely to purchase salad than Jackson Middle School.​

Mathematics
1 answer:
Crazy boy [7]2 years ago
3 0
I think is C but I’m not really sure
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What is the slope of the line described by the equation below?y = 5x - 22A. -5B. 5C. 22D. -22
Neporo4naja [7]
Your answer is D that helped
3 0
3 years ago
Universal Studios is looking to expand in Ontario. The new theme park will be located equidistant to
sukhopar [10]
<h3>Answer:  (2, 3)</h3>

===============================================

Explanation:

For now, we're only going to consider Newmarket and Markham, which are points N and M respectively.

Let's find the slope of line NM through use of the slope formula.

m = (y2-y1)/(x2-x1)

m = (3-8)/(7-2)

m = -5/5

m = -1

Line NM has a slope of -1. Its perpendicular slope is +1 or just 1.

Rule: If the slopes multiply to -1, then the lines are perpendicular.

Or you can apply the negative reciprocal rule to go from -1 to 1.

We'll keep this perpendicular slope in mind for later.

----------------

Now let's find the midpoint of points N and M.

Add up the x coordinates and divide by 2: (x1+x2)/2 = (2+7)/2 = 4.5

Do the same for the y coordinates:  (y1+y2)/2 = (8+3)/2 = 5.5

The midpoint of N and M is at (4.5, 5.5)

The perpendicular line must go through these two points. I'm going to skip a few steps here, but basically we go from y = mx+b to y = x+1 after plugging in those x,y values and the perpendicular m we found earlier.

--------------------

In short, the perpendicular bisector for line segment NM is the equation y = x+1.

If you follow the same steps as the previous two sections, but you apply them for points M and V instead, then you should find that the perpendicular bisector is y = -3x+9. I'm skipping steps here as well.

----------------------

At this point, we have the system of equations

\begin{cases}y = x+1\\y = -3x+9\end{cases}

Let's use substitution to solve for x and y

y = x+1

-3x+9 = x+1

-3x-x = 1-9

-4x = -8

x = -8/(-4)

x = 2

y = x+1

y = 2+1

y = 3

So together, x = 2 and y = 3 pair up to get the ordered pair solution (x,y) = (2,3)

This is the location where the theme park should be placed. Let's say that C = (2,3). I'm using C for center.

You can use the distance formula to confirm that segments CN, CM and CV are all the same length, which would verify that point C is equidistant from all the other points. Furthermore, it means that points N, M and V are all on the same circle centered at C.

I know it says not to use a graph, but it still helps to see what's going on. Also, it's a handy way to confirm the answer. I used GeoGebra to make the graph. See the diagram below.

Side note: you only need 2 perpendicular bisectors to find point C. You could use three, but that's overkill since they all intersect at the same location.

7 0
2 years ago
Jessie has some nickels, dimes, and quarters in her bank. The number of coins is 26 . The expression 0.05⁢n+0.10⁢d+0.25⁢q repres
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Use the substituting equation to solve
7 0
3 years ago
URGENT!! GEOMETRY TRANSLATIONS. INCLUDE EXPLANATION IF POSSIBLE
STatiana [176]

First find the new coordinates for P and Q after the translations:

P'(2 + 3, 4 - 4) = P'(5, 0)

Q'(-3 + 3, 2 - 4) = Q'(0, -2)

Now, find the slope from this:

(0 - (-2))/(5 - 0) = 2/5

The slope has remained the same. It is important to note that after any translation, the slope will always remain the same. However, this is not always so for rotations and reflections.

3 0
3 years ago
I'm so confused xD picture attached.
dimulka [17.4K]
B. if you think it is not correct don't put it in
4 0
2 years ago
Read 2 more answers
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