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julia-pushkina [17]
3 years ago
12

Which expression is equivalent to 56+48A.6(9+8)B.7(8+6)C.8(7+6)D.9(6+8)Show WORK

Mathematics
1 answer:
Elanso [62]3 years ago
7 0

C.8(7+6) is the right answer because 8x7=56 and 8x6=48 so, 56+48=104

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Find the slope of the line passing through these points: (5,2) and (-10,12)
Marat540 [252]

Answer:

-2/3

Step-by-step explanation:

The slope of a line is found by

m= (y2-y1)/(x2-x1)

   = (12-2)/(-10 -5)

   = 10/-15

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3 0
3 years ago
Two athletic teams play a series of games; the first team to win 4 games is declared the overall winner. Suppose that one of the
kodGreya [7K]

Answer:

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  • p=0.6480 (2-game series)

Step-by-step explanation:

Let X be the random variable equal the the first 4 straight wins. An overall win for the stronger team implies a negative binomial function with the parameters  n=4, p=0.6:

P(X=4)={{i-1}\choose {4-1}}0.6^40.4^{i-4},\  i=4,5,6,7

#We find probabilities for the different values of i:

P(X=4)={3\choose 3}0.6^4=0.1296\\\\P(X=5)={4\choose 3}0.6^40.4^1=0.2074\\\\P(X=6)={5\choose 3}0.6^40.4^2=0.2074\\\\P(X=4)={6\choose 3}0.6^40.4^3=0.1659

Hence, probability of the stronger team winning overall is:

=P(X=4)+P(X=5)+P(X=6)+P(X=7)\\\\=0.7103

#Define Y as the random variable for winning 2/3 games.:

P(Y=2)={1\choose 1}0.6^2=0.3600\\\\P(Y=3)={2\choose3}0.6^20.4=0.2880\\\\P(win)=0.2880+0.3600=0.6480

Hence, probability of the stronger team winning in 2 out 3 game series is 0.6480

The stronger team has a higher chance of winning in a 4-game series(0.7103>0.6480)

8 0
3 years ago
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balandron [24]

Answer:

8

Step-by-step explanation:

Hope this helped, Have a Wonderful Day!!

8 0
3 years ago
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Andrews [41]

Answer:

Step-by-step explanation:

let f(x)=ab^x

when x=1,f(x)=6

6=ab

when x=2,f(x)=18

18=ab^2

divide

\frac{ab^2}{ab}=\frac{18}{6}\\b=3\\ab=6\\3a=6\\a=2\\f(x)=2(3)^x

4 0
3 years ago
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Nutka1998 [239]

Step-by-step explanation:

The data is already in ascending order.

The lower half of the data (120, 140, 160)

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180 is the median of the entire data.

The upper half of the data (200, 220, 240)

has the median 220.

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6 0
3 years ago
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