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sergey [27]
3 years ago
6

Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 18 Pennies13 Dimes 18 Nickels1

3 Quarters What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, another nickel
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
6 0

Answer:

P(Nickel\ and\ Nickel) = 0.08091

Step-by-step explanation:

Given

Pennies = 18

Dimes = 13

Nickels = 18

Quarters = 13

Required

Probability of selecting 2 nickels without replacement

This can be represented as: P(Nickel\ and\ Nickel)

The solution is as follows

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

The second nickel is reduced by 1 because the first nickel was not replaced and this also reduces the total by 1

So, we have:

P(Nickel\ and\ Nickel) = \frac{18}{62}*\frac{18-1}{62-1}

P(Nickel\ and\ Nickel) = \frac{18}{62}*\frac{17}{61}

P(Nickel\ and\ Nickel) = \frac{18*17}{62*61}

P(Nickel\ and\ Nickel) = \frac{306}{3782}

P(Nickel\ and\ Nickel) = 0.08091

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Step-by-step explanation:

The multiples of numbers calculator will find 100 multiples of a positive integer. For example, the multiples of 3 are calculated 3x1, 3x2, 3x3, 3x4, 3x5, etc., which equal 3, 6, 9, 12, 15, etc. You can designate a minimum value to generate multiples greater than a number.

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Simplify the following expression. (19x + 4y) + (49x + 32y)
Valentin [98]

Answer:

68x + 36y

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define expression</u>

(19x + 4y) + (49x + 32y)

<u>Step 2: Simplify expression</u>

  1. Combine like terms (x):                    68x + 4y + 32y
  2. Combine like terms (y):                    68x + 36y
4 0
3 years ago
Does each equation represent exponential decay or exponential growth?
lisov135 [29]

Answer:

1. H = 5.9(0.82)^{t}. Exponential decay function.

2. y = 0.8(3.6)^{t}. Exponential growth function.

3. f(t) = 0.72(15)^{t}. Exponential growth function.

4. A = \frac{4}{9} (8)^{t}. Exponential growth function.

5. A = (\frac{4}{3})^{t}. Exponential growth function.

6.  H = \frac{7}{2} (\frac{5}{6} )^{t}. Exponential decay function.

7. g(x) = 0.3(x). Not an exponential function.

Step-by-step explanation:

1. H = 5.9(0.82)^{t}. This is an exponential decay function.

As the value of t increases H-value decreases.

2. y = 0.8(3.6)^{t}. This is an exponential function of growth.

As the value of t increases y-value also increases.

3. f(t) = 0.72(15)^{t}. This is an another example of exponential growth function.

As the value of t increases f(t)-value also increases.

4. A = \frac{4}{9} (8)^{t}. This is again an example of exponential growth function.

As the value of t increases A-value also increases.

5. A = (\frac{4}{3})^{t}. This is again an example of exponential growth function.

As the value of t increases A-value also increases.

6. H = \frac{7}{2} (\frac{5}{6} )^{t}. This is another an example of exponential decay function.

As the value of t increases, H-value decreases.

7. g(x) = 0.3(x). This is a non-exponential function. (Answer)

4 0
3 years ago
10. A store pays $10 for a bracelet, and the markup is 115%. A customer will
Vedmedyk [2.9K]
12.075
Explain:
Price after mark-up: 10*115% = 11.5
Price after sales tax: 11.5 * 105% = 12.075
8 0
3 years ago
Read 2 more answers
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