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alina1380 [7]
2 years ago
9

Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 22 Pennies 27 Dimes 9 Nickels

30 Quarters What is the probability that you reach into the jar and randomly grab a penny and then, without replacement, a dime
Mathematics
1 answer:
kap26 [50]2 years ago
5 0

Answer:

P(Penny\ and\ Dime) = \frac{9}{116}

Step-by-step explanation:

Given

Pennies = 22

Dimes = 27

Nickels = 9

Quarters = 30

Required

P(Penny\ and\ Dime)

This is calculated as:

P(Penny\ and\ Dime) = P(Penny) * P(Dime)

Since it is a selection without replacement, the computation is:

P(Penny\ and\ Dime) = \frac{Penny}{Total} * \frac{Dime}{Total-1}

So, we have:

P(Penny\ and\ Dime) = \frac{22}{22+27+9+30} * \frac{Dime}{22+27+9+30-1}

P(Penny\ and\ Dime) = \frac{22}{88} * \frac{27}{87}

P(Penny\ and\ Dime) = \frac{1}{4} * \frac{9}{29}

P(Penny\ and\ Dime) = \frac{9}{116}

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Answer:

130.18

Step-by-step explanation:

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Wow! So so so cool lol
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18 points - Qu. If 16 whole numbers factor into 120. You will see how 32 whole numbers factor into 1200 what does the same princ
alexandr402 [8]

Explanation:

<em>Your premise and conclusion are both incorrect</em>.

120 has the prime factorization ...

  120 = 2³ × 3 × 5

The exponents of the prime factors are {3, 1, 1}. The number of divisors of 120 is the product of the increments of these numbers: (3+1)(1+1)(1+1) = 4·2·2 = 16.

120 has 16 natural-number divisors

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1200 has the same prime factor and two more: 2·5, so the factorization is ...

  1200 = 2⁴ × 3 × 5²

These exponents are {4, 1, 2} and the product of their increments is 5·2·3 = 30.

1200 has 30 natural-number divisors.

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When a number is multiplied by 2, its number of natural-number divisors will be (n+1)/n times the previous number of divisors, where n is the increment of the exponent of 2 that is a factor of the original number.

For 120, 2^3 is the power of 2 that is a factor. So, multiplying the number by 2 multiplies the number of divisors by (4+1)/4 = 5/4.

240 will have 20 divisors versus the 16 that 120 has.

Likewise, multiplying this number (240) by 5 will multiply its number of divisors by (2+1)/(1+1) = 3/2, where 1 is the power of 5 that is a factor of 240.

1200 will have 20(3/2) = 30 divisors, versus the 20 that 240 has, or the 16 that 120 has.

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<em>Summary</em>

The number of divisors of an integer is the product of the increments of the exponents of its prime factors.

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<em>For reference</em>

Here are the divisors of 120:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Here are the divisors of 240:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Here are the divisors of 1200:

  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200

7 0
3 years ago
if the kinetic energy of an aeroplane moving at a velocity of 100m/s is 200j ,what is the mass of the aeroplane
Black_prince [1.1K]

Answer:

<u>0.04kg</u>

Step-by-step explanation:

Kinetic energy Formula: eK=0.5×m×v²

to work out mass

we can rearrange the formula and make it:

~m=eK÷(0.5×v²)

now insert the missing digits into the formula:

m=200÷(0.5×100²)

work it out, and you get your answer

m=0.04kg

Hopefully this helped-have a good day)

8 0
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Taya2010 [7]

Answer:

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Step-by-step explanation:

(12/15)/(3/10)=(12/15)(10/3)=120/45=8/3

4 0
2 years ago
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