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Ira Lisetskai [31]
3 years ago
10

There are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks. how many possible selections of 4 books from this s

helf include at least one paperback?
Mathematics
1 answer:
trapecia [35]3 years ago
8 0

\displaystyle \binom{6}{3}\cdot2+\binom{6}{2}=\dfrac{6!}{3!3!}\cdot2+\dfrac{6!}{2!4!}=\dfrac{4\cdot5\cdot6}{2\cdot3}\cdot2+\dfrac{5\cdot6}{2}=40+15=55

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3) Greta has 2 bags of tiles
zubka84 [21]

Answer:

B would be a *dependent* event, and A would be an *independent* event.

Step-by-step explanation:

Independent events are separate events where the outcome in either event does not affect the other's probability. The opposite, where the outcome of the one event affects the other's probably, is dependent.

For Option A, taking a tile out and then replacing it does not affect the probability that the same tile will be picked for the 2nd picking.

For Option B, taking a tile out of the bag and then picking another tile are 2 separate events and both have different probabilities for picking identical tiles.

Therefore, Option B is dependent and Option A is independent.

4 0
3 years ago
If Subway sells turkey sandwiches for $3.79 each, how many sandwiches can you buy for your 6 friends to share with $20.00
Sophie [7]
3.75 each, 6 friends, $20. 6 multiplied by 3.75 is 18.75. you can buy 5 sandwiches
4 0
3 years ago
What is the percent of the discount for a $60 item that sells for $45?
goblinko [34]

Answer:

75%

Step-by-step explanation:

45/60 x X/100

45x100

4500/60

75%

4 0
3 years ago
A line is shown in the graph below.
kondaur [170]

Answer:

-2/3

Step-by-step explanation:

This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m. For example, we found that the slope of the line y = (1/2)x + 3 is 1/2. This is why any line that is perpendicular to this line would have slope -2 /1 = -2.

8 0
3 years ago
Please help thank you
Allushta [10]

The average rate of change of credit card is $ 401.79 /year.

<h3>What is Average Rate?</h3>
  • A single rate that is a weighted average of the different rates that are applicable to property in various locations.
  • An average is a single number calculated as the average of a set of numbers, typically calculated as the sum of the numbers divided by the total number of numbers in the set (the arithmetic mean).

<u>Solution</u>

The difference of credit card debt between the year 2006 and 1992 = 8900 - 3275 = $5625

The difference of years between the year 2006 and 1992 = 2006 - 1992 = 14

average rate of change of credit card debt with respect to time = \frac{difference of credit card debt}{difference of years}

average rate = \frac{5625}{14} = $ 401.79 / year

know more about average numerical brainly.com/question/18296887

#SPJ4

6 0
2 years ago
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