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3 years ago

X=y+6 X+6y=20 Solving systems of equations using substitution

1 answer:

8 0

To get the answer we can subsittute first equation into second.
x+6y=20
y+6+6y=20
6+7y=20 /-6
7y=14 /:2
y=2
Now we can back substitute
x=y+6
x=2+6
x=8
Finally we get
x=8
y=2

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Multiple 3/4 times 16/9

nataly862011 [7]

3/4 times 16/9 is equal to 1 1/3.

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3 years ago

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if the probability that the islanders will beat the rangers in a game is 0.44,what is the probability that the islanders will wi

Rama09 [41]

Answer:

30.91% probability that the islanders will win exactly one out of four games in a series against the rangers

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Islanders win, or they do not. The probability of the Islanders winning a game is independent of other games. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

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

And p is the probability of X happening.

The probability that the islanders will beat the rangers in a game is 0.44

This means that $p = 0.44$

What is the probability that the islanders will win exactly one out of four games in a series against the rangers? 

This is P(X = 1) when n = 4. Then

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{4,1}.(0.44)^{1}.(0.56)^{3} = 0.3091$

30.91% probability that the islanders will win exactly one out of four games in a series against the rangers

6 0

2 years ago

Solve the system of linear equations by ellmination. 5x + 9y = -11 3x + 9y = -3 A. (-4,-1) -B. (-1, –4) C. (-4,1) D. (1,-4)

valentina_108 [34]

Answer:

Step-by-step explanation:

5x + 9y = -11

3x + 9y = -3

5x + 9y = -11

-3x - 9y = 3

2x = -8

x = -4

-12 + 9y = -3

9y = 9

y = 1

(-4, 1)

Answer is C

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2 years ago

Look at the sections between the whole numbers on the number line below. How many equal parts are in each section? What fraction

noname [10]

You didn’t provide us with an image.

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3 years ago

What is universal gravitational constant

koban [17]

Answer:

6.67408 × 10^-11 m^3 kg^-1 s^-2

Step-by-step explanation:

F = G M 1 M 2 d 2 , where F is the gravitational force between two point masses, M1 and M2; d is the distance between M1 and M2; G is the universal gravitational constant, usually taken as 6.670 × 1011 m3/(kg)(s2) or 6.670 × 10−8 in centimeter–gram–second units. a = F M 1 = G M 2 r 2 .

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3 years ago