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navik [9.2K]
2 years ago
7

There are 9 balls in a hat .The balls are numbered 1-9 you need to choose 3 of the balls . How many possible combinations are th

ere
Mathematics
1 answer:
Virty [35]2 years ago
3 0

Answer:

84

Step-by-step explanation:

Combinations

nCr

n (objects) = 9

r (sample) = 3

9C3

n! / r! (n – r)!

9! / 3! (9 – 3)!=

9! / (3! * 6!)=

9*8*7*6!/ (3! * 6!)=

6! cancels out

9*8*7/3*2*1=

3*4*7=

12*7=

84

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I need to solve the equation 6n + 21 = - 3 - 2n
Kaylis [27]

Answer:

n= -3

Step-by-step explanation:

First, your're going to subtract from both sides

6n + 21 - 2 1= -3 - 2n - 21

Then simplify

6n = -2n - 24

Then add 2n on both sides

6n + 2n = -2n -24 + 2n

Simplify again

8n = -24

Then divide both sides by 8

8n/8 = -24/8

Then simplify and this is your answer

n= -3

3 0
3 years ago
Read 2 more answers
What is the best estimate of the product 3780 times 2
Leviafan [203]

Answer:

7560

Step-by-step explanation:

I used google calculator

6 0
3 years ago
Find the slope and reduce of p=(3/4,1 1/4) q=(-1/2,-1)
sergij07 [2.7K]
\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
p&({{ \frac{3}{4}}}\quad ,&{{ \frac{1}{4}}})\quad 
%   (c,d)
q&({{ -\frac{1}{2}}}\quad ,&{{ -1}})
\end{array}

\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-1-\frac{1}{4}}{-\frac{1}{2}-\frac{3}{4}}\quad \cfrac{\leftarrow LCD=4}{\leftarrow LCD=4}
\\\\\\
\cfrac{\frac{-4-1}{4}}{\frac{-2\cdot 1-3}{4}}\implies \cfrac{\frac{-5}{4}}{\frac{-5}{4}}\implies \cfrac{-5}{4}\cdot \cfrac{4}{-5}\implies 1
7 0
3 years ago
Production times are evenly distributed between 8 and 15.8 minutes and production times are never outside of this interval. What
dezoksy [38]

Answer:

29.49% probability that a production time is between 9.7 and 12 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d, in which d is greater than c, is given by the following formula.

P(c \leq X \leq d) = \frac{d - c}{b-a}

Production times are evenly distributed between 8 and 15.8 minutes and production times are never outside of this interval.

This means that a = 8, b = 15.8

What is the probability that a production time is between 9.7 and 12 minutes?

d = 12, c = 9.7.

So

P(c \leq X \leq d) = \frac{d - c}{b-a}

P(9.7 \leq X \leq 12) = \frac{12 - 9.7}{15.8 - 8} = 0.2949

29.49% probability that a production time is between 9.7 and 12 minutes

5 0
4 years ago
Can someone pls help me? :)
erastova [34]

Step-by-step explanation:

1 t=16/21

2.m=2

3.n=13/7

4.a=2

5.x=6/17

6.x=15

7.s=21/4

8. t=7/3

9. s=1

10. s=6/61

11. x=1/3

12. r=27/16

13. c=−1

14.m=9/5n

15. j=−117/58

8 0
3 years ago
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