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kykrilka [37]
3 years ago
13

A bag is filled with different color balls. Craig selects a ball at random, records the color, and then replaces the ball in the

bag. He repeats this process 60 times. The overall results are shown in the table. Result Blue Red Yellow Orange Frequency 18 14 15 13 What is the relative frequency of Craig selecting a yellow ball? Enter your answer in the box.
Mathematics
1 answer:
vazorg [7]3 years ago
5 0
Because there were 15 yellow balls and 60 in total:
15/60
We can simplify:
1/4
Multiply both sides by 25:
25/100
The relative frequency is 25%
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8 0
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Answer:

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Step-by-step explanation:

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enyata [817]

Answer:

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7 0
3 years ago
A box with a square base and open top must have a volume of 32,000 cm3. find the dimensions of the box that mini- mize the amoun
zmey [24]
Alrighty


squaer base so length=width, nice


v=lwh
but in this case, l=w, so replace l with w
V=w²h

and volume is 32000
32000=w²h


the amount of materials is the surface area
note that there is no top
so
SA=LW+2H(L+W)
L=W so
SA=W²+2H(2W)
SA=W²+4HW

alrighty

we gots
SA=W²+4HW and
32000=W²H

we want to minimize the square foottage
get rid of one of the variables
32000=W²H
solve for H
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subsitute

SA=W²+4WH
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SA=W²+128000/W

take derivitive to find the minimum
dSA/dW=2W-128000/W²
where does it equal 0?

0=2W-1280000/W²
128000/W²=2W
128000=2W³
64000=W³
40=W

so sub back
32000/W²=H
32000/(40)²=H
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the box is 20cm height and the width and length are 40cm
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3 years ago
There are 7 students in a class: 5 boys and 2 girls.
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3/7 is the answer for this question
3 0
2 years ago
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