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avanturin [10]
3 years ago
12

Michael has 3 quarters, 2 dimes, and 3 nickels in his pocket. He randomly draws two coins from his pocket, one at a time, and th

ey are both dimes. He says the probability of that occurring is 1/4 because 2 of the 8 coins are dimes. Is he correct? Explain
Mathematics
2 answers:
salantis [7]3 years ago
5 0

Answer:

No. Choosing two dimes are dependent events. The probability of choosing the first dime is 1/4 and the probability of choosing the second dime is 1/7 . The probability that both coins are dimes is

Step-by-step explanation:

Crank3 years ago
4 0

Answer:

.

Step-by-step explanation:

The events are dependent.

The size of the original sample space is 8. It changes to 7 after the first dime is chosen.

The probability of picking the first dime is 2/8.

The probability of picking the second dime is 1/7

To find the probability of the compound event, multiply the probabilities.

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Explain to me in words how you would find the slope of this line and explain how you got your answer
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Step-by-step explanation:

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3 years ago
Alang owns a small business selling ice-cream. He knows that in the last week 62
anzhelika [568]

Step-by-step explanation:

last week there were

62 + 60 + 2 = 124 customers.

that means that the fraction of the customers, who paid by credit card, was

2/124 = 1/62

in situations like that, when we use history data and try to predict future behavior, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 1/62, if customers to use credit cards.

for the absolute number of predicted credit card customers we multiply the predicted number of customers by the expected fraction

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5 0
2 years ago
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
defon

Answer:

Price of widget to break even= $37.9

Step-by-step explanation:

We are told that the equation representing the amount of profit, y, made by the company, in relation to the selling price of each widget, x is;

y = -8x² + 348x - 1705

Now, the company will break even when it has made no profit. That is when, y = 0

Thus;

0 = -8x² + 348x - 1705

Rearranging,

8x² - 348x + 1705 = 0

Using quadratic formula ;

x = [-b ± √(b² - 4ac)]/2a

x = [-8 ± √(-348² - 4•1•1705)]/(2 x 8)

x = $5.63 or $37.87

We'll use $37.87 because it is the highest price for which no profit is made, and higher price means that we could sell least number of products to earn a certain amount of money.

We are told to approximate to nearest cent. Thus,

Price of widget = $37.87 ≈ $37.9

7 0
3 years ago
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