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irga5000 [103]
3 years ago
6

Cards with the numbers 1 through 40 are placed in a box and throughly shuffled. What is the probability of randomly selecting a

card with a number less than 10 or a multiple of 15? a) 3/10; b) 11/40; c) 1/20; d) 7/400
Mathematics
1 answer:
Alecsey [184]3 years ago
5 0
There are 9 numbers less than 10.  1,2,3,4,5,6,7,8,9
And there are 2 multiples of 15.  15,30
There are 11 of the 40 cards that are either less than 10 or multiples of 15,  so the answer is B
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slega [8]

Answer:

The correct option is 4

Step-by-step explanation:

The solution is given as

y(x)=\frac{1}{\sqrt{C+4x^2}}

Now for the initial condition the value of C is calculated as

y(x)=\frac{1}{\sqrt{C+4x^2}}\\y(-2)=\frac{1}{\sqrt{C+4(-2)^2}}\\4=\frac{1}{\sqrt{C+4(4)}}\\4=\frac{1}{\sqrt{C+16}}\\16=\frac{1}{C+16}\\C+16=\frac{1}{16}\\C=\frac{1}{16}-16

So the solution is given as

y(x)=\frac{1}{\sqrt{C+4x^2}}\\y(x)=\frac{1}{\sqrt{\frac{1}{16}-16+4x^2}}

Simplifying the equation as

y(x)=\frac{1}{\sqrt{\frac{1}{16}-16+4x^2}}\\y(x)=\frac{1}{\sqrt{\frac{1-256+64x^2}{16}}}\\y(x)=\frac{\sqrt{16}}{\sqrt{{1-256+64x^2}}}\\y(x)=\frac{4}{\sqrt{{1+64(x^2-4)}}}

So the correct option is 4

8 0
3 years ago
Read 2 more answers
4/5 + 1/3 <br><br> Answers should be in format example: 5/2 or 2/5. No decimals or mixed numbers.
spin [16.1K]

Answer:

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Step-by-step explanation:

The LCM of 5 and 3 is 15

4/5 + 1/3 = 12 / 15 + 4 / 15 = 16 / 15

3 0
3 years ago
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8 0
3 years ago
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Answer A

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