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dimulka [17.4K]
3 years ago
14

There are seven shuffled question cards left in a game. Kim has to pick two of them and answer them both correctly to win. What

is the greatest number of different pairs of question cards she can pick ?
Mathematics
1 answer:
Yakvenalex [24]3 years ago
4 0
"n choose k" gives you the number of possible unique combinations...

n!/(k!(n-k)!)

n=number of elements to choose from and k=the number of elements that you choose...in this case:

7!/[2!(7-2)!]

7!/[2!5!]

21

There are 21 possible different two question combinations that she can pick.


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horsena [70]

Answer:

That's the right answer.

Step-by-step explanation:

2x+3=3x

Subtract 2x from both sides

3=x or x=3

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When asked there favorite drink 22 students said juice 34 students said milk 28 students said soda and 36 students said water .s
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The 22 students who answered juice would represent the smallest wedge in a pie chart.
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On average, it takes a shoe factory 21 minutes, with a standard deviation of 3 minutes, to manufacture a pair of running shoes.
algol13

Answer:

The number of times it would take more than 27 minutes to manufacture a pair of running shoes is 2.275 times or approximately 2 times per every 100 shoes

Step-by-step explanation:

The average time it takes to manufacture a pair of shoes = 21 minutes;

The standard deviation = 3 minutes

To find how often it takes more than 27 minutes to manufacture a pair of running shoes, we have;

Standard score, given as follows;

Z=\dfrac{x-\mu }{\sigma }

Where;

x = The raw score = 27 minutes

μ = The average score = 21 minutes

σ = The standard deviation = 3 minutes

From which we have;

Z=\dfrac{27-21 }{3 } = 2

Therefore, it is borderline unusual with a p value of P(z>2) = 1 - 0.97725 = 0.02275

Therefore, the number of times out of 100 that it would take more than 27 minutes to manufacture a pair of running shoes = 100 × 0.02275 = 2.275 times which is approximately 2 times in every 100 shoes.

7 0
3 years ago
What is the slope of the line that passes through the points (-8, -3) and
aleksklad [387]

Answer:

slope of the graph is

\frac{ - 1}{4}

Step-by-step explanation:

slope of a graph = (y2 - y1) / (x2 - y1)

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  • 1 + 3 / -24 + 8
  • 4 / -16
  • 1 / -4
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hence the slope of the graph is

\frac{ - 1}{4}

i hope it helped...

6 0
3 years ago
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