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pochemuha
3 years ago
5

There are 500 students at Jacob's school. Jacob wants to conduct a survey of the students at his school to determine the level o

f interest in participating in a musical. Which of the following is most likely to produce a representative sample of students' interest in participating in the musical?
Mathematics
1 answer:
Feliz [49]3 years ago
5 0

Answer:

Step-by-step explanation:

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onyango wishes to fence a rectangular research plot using 100 m of wire .one end of the plot has a wall already erected .calcula
earnstyle [38]

Answer:

1250 m²

Step-by-step explanation:

Let x and y denote the sides of the rectangular research plot.

Thus, area is;

A = xy

Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.

Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;

2x + y = 100

Thus, y = 100 - 2x

Since A = xy

We have; A = x(100 - 2x)

A = 100x - 2x²

At maximum area, dA/dx = 0.thus;

dA/dx = 100 - 4x

-4x + 100 = 0

4x = 100

x = 100/4

x = 25

Let's confirm if it is maximum from d²A/dx²

d²A/dx² = -4. This is less than 0 and thus it's maximum.

Let's plug in 25 for x in the area equation;

A_max = 25(100 - 2(25))

A_max = 1250 m²

5 0
3 years ago
Scott earned 20 points more on his most recent math test than he earned on the previous test. If he earned at least 80 points on
NARA [144]

9514 1404 393

Answer:

  s ≥ 60

Step-by-step explanation:

If Scott earned 20 points more on this test, then he earned 20 points less on the last test. 20 points less than "at least 80" is "at least 60."

  s ≥ 60

7 0
3 years ago
Find the distance between -6,5 and -3,1
Elenna [48]

Answer:

11.7

Step-by-step explanation:

\sqrt{(-6-5)^2(-3-1)^2 }\\

=11.7

3 0
3 years ago
Find the distance between each pair of points. Round to the nearest tenth<br> (-2,2) (5,2)
bija089 [108]

Answer:

Distance = 7

Step-by-step explanation:

d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(5-(-2))^2+(2-2)^2} \\d= \sqrt{(7)^2+(0)^2} \\d= \sqrt{49+0} \\d= \sqrt{49}\\ d= 7

6 0
3 years ago
PLEASE HELP GIVING BRAINLIST
melisa1 [442]
I’m pretty sure it’s the number of wrenches in the toolbox because that gonna affect the amount of space he has left
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2 years ago
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