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laila [671]
3 years ago
15

The following table shows the data collected from a random sample of 100 middle school students on the number of hours they play

outdoor games every week: Weekly Duration of Outdoor Games Time (in hours) 0-2 3-5 6-8 9-11 Number of Students 30 62 8 0 There are 1,200 students in the school. Based on the sample proportion, how many students in the school would be expected to play outdoor games for at least three hours every week?
Mathematics
1 answer:
kompoz [17]3 years ago
3 0
84o students would be expected to play outdoor games for at least three hours every week. 

The sample showed that 70% students played outdoor games for at least three hours every week. 70% of 1,200 is 840.
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30 POINTS! Please answer and show work for both!
monitta

The recommended approach for such equations is to eliminate fractions first, by multiplying by the LCM of the denominators. You can simply simplify, then work them as a 2-step linear equation, doing your arithmetic with the fractions as they are.

a) (5x-1)/7 + (4x-3)/2 -(3-2x)/2 = 6 . . . . . given

... 2(5x -1) +7(4x -3) -7(3 -2x) = 84 . . . . . multiply by 14

... 10x -2 +28x -21 -21 +14x = 84 . . . . . . eliminate parentheses

... 52x -44 = 84 . . . . . . . . . . . . . . . . . . . . collect terms

... 52x = 128 . . . . . . . . . . . . . . . . . . . . . . . add 44

... x = 32/13 . . . . . . . . . . . . . . . . . . . . . . . . divide by 52 and simplify

b) (4x−3)/2 − (5−2x)/3 − (3x−4)/3 = 5 . . . given

... 2x -3/2 -5/3 +(2/3)x -x +4/3 = 5 . . . . . . .eliminate parentheses

... (5/3)x -11/6 = 5 . . . . . . . . . . . . . . . . . . . . simplify

... (5/3)x = 41/6 . . . . . . . . . . . . . . . . . . . . . . add 11/6

... x = (41/6)/(5/3) = 41/10 . . . . . . . . . . . . . .divide by the coefficient of x

_____

Using the first method, you're dealing with integers and you can do a lot of the math in your head. Using the second method, you're dealing with fractions and mixed numbers. A calculator can be helpful, especially if it handles arithmetic with fractions nicely, as many graphing calculators do.

6 0
3 years ago
Find the circumference and the area of a circle with diameter 7 ft
defon
Area formula: pi * radius * radius
Radius=1/2diameter=1/2(7)=3.5

3.5*3.5*pi=12.25pi square feet

Circumference formula: pi * diameter

7*pi=7pi feet
6 0
3 years ago
Read 2 more answers
.........help...............
stealth61 [152]

Answer:

1. X axis, 8, 3

2. Y axis, 4,-9

Step-by-step explanation:

The rule of reflections that the place opposite of the axis is negative so:

The rule for x-axis reflection is (x,-y)

The rule for y-axis is (-x,y)

For the first one, x has remained the same, so that means it’s a x-axis reflection.

So change -3 to 3

Same for the next one.

-9 is not changed so that means it’s a y-axis reflection.

And the point is 4,-9

7 0
3 years ago
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lesya692 [45]
Pretend these are coordinates that you can use to find the slope of the line.
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40 = 4(10) + b so b = 0.  The equation of the line then is y = 4x + 0 or just
y = 4x
6 0
3 years ago
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vitfil [10]
Answer: C)$117.18

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4 0
2 years ago
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