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Mekhanik [1.2K]
3 years ago
12

A Computer randomly generates an integer from 1-10. Find the Probability of the given event. Write your answer as a percent.

Mathematics
1 answer:
kykrilka [37]3 years ago
4 0
1. The integer '5' occurs once in the sequence of [1, 2, 3, 4, 5, 6, 7, 8, 9, 10], hence, the probability of it appearing is 1/10, or 10%.

2. Odd numbers are found in this sequence more than once. 1, 3, 5, 7, 9 are all odd numbers, and there are 5 of them. Hence the probability is 5/10, or 50%

3. A factor of 20 is any integer that can go into 20. These are 1, 2, 4, 5, 10. Once again, there are 5 of these in the sequence, hence the answer is 50%.

The answers are:

1. 10%
2. 50%
3. 50%
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The length of a standard jewel case is 3 cm more than its width. The area of the rectangular top of the case is 304 cm squared.
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Answer:

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Let the width be x cm.

Given that length is 3 cm more than width then

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area of rectangle is given by

area =length * width

substituting from equation 1 and length and width in terms of x we have

304 = x(x+3)

=> 304 = x^2+3x\\\\=> 304 -304= x^2+3x -304\\=> 0= x^2+3x -304\\=>  x^2+3x -304 = 0\\=> x^2+19x - 16x -304 = 0\\=> x(x+19 ) -16(x+19) = 0\\=> (x-16) (x+19 )= 0\\x-16 = 0  \ or \ x+19 = 0\\ x= 16 \or \ x = -19

As length cannot be negative hence x = 16

Thus width = x = 16 cm

length = x+3 = 16+3 = 19 cm

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