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pickupchik [31]

4 years ago

5

What is the slope of the straight line through points (-2,4) and (5,-1) ?

1 answer:

Arturiano [62]4 years ago

3 0

The slope can be calculated by subtracting the y values (the rises) and dividing the difference by the difference between the x values (the runs) to get rise over run. -1-4= -5 (differences in y's) & 5-(-2)= 7 (the differences in the x's). now divide the difference in the y' by the difference in the x's to get m= -5/7.

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eight cards are drawn from a standard deck of 52 cards. how many hands off with cards contain exactly three queens and three jac

d1i1m1o1n [39]

Answer:

15,136 hands off with cards contain exactly three queens and three jacks.

Step-by-step explanation:

The order in which the cards are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Standard deck:

4 queens and 4 jacks.

The other 52 - 8 = 44 cards are neither queens nor jacks.

Wow many hands off with cards contain exactly three queens and three jacks?

3 queens from a set of 4.

3 jacks from a set of 4.

2 other cards(not queens neither jacks) from the other 44. So

$C_{4,3}C_{4,3}C_{44,2} = \frac{4!}{1!3!} \times \frac{4!}{1!3!} \frac{44!}{2!42!} = 4*4*22*43 = 15136$

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