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marusya05 [52]
3 years ago
12

What is the solution to the system of equations below? y=-1/3x 6 and x = –6 (–6, 8) (–6, 4) (8, –6) (4, –6)?

Mathematics
1 answer:
Brrunno [24]3 years ago
3 0
Y = -1/3x + 6 . . . (1)
x = -6 . . . (2)
Putting (2) into (1), gives
y = -1/3(-6) + 6 = 2 + 6 = 8

Solution is (-6, 8)
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At the end of a recent WNBA regular season, the Phoenix murmur had 12 more victories than losses. The number of victories they h
Hoochie [10]

Answer:

34 games


Step-by-step explanation:

let the number of losses be  l

let the number of victories be  v


<u>the Phoenix murmur had 12 more victories than losses:</u>

v=l+12

<u>The number of victories they had was one more than two times the number of losses:</u>

v=2l+1


<em>We have 2 expressions for v, equating these 2, we can solve for l:</em>

l+12=2l+1\\12-1=2l-l\\11=l

So 11 games, they lost.

Using this value, we can plug into the 1st equation to solve for v:

v=l+12\\v=11+12\\v=23

So 23 games, they won.


Given that no draws, they played a total of 23 + 11 = 34 games this season

6 0
3 years ago
The Census Bureau's Current Population Survey shows that 28% of individuals, ages 25 and older, have completed four years of col
gizmo_the_mogwai [7]

Answer:

19.35% probability that five will have completed four years of college

Step-by-step explanation:

For each individual chosen, there are only two possible outcomes. Either they have completed fourr years of college, or they have not. The probability of an adult completing four years of college is independent of any other adult. So the binomial probability distribution is used 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.

28% of individuals

This means that p = 0.25

For a sample of 15 individuals, ages 25 and older, what is the probability that five will have completed four years of college?

This is P(X = 5) when n = 15. So

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

P(X = 5) = C_{15,5}.(0.28)^{5}.(0.72)^{10} = 0.1935

19.35% probability that five will have completed four years of college

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C is the answer you get while doing the math
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24 fl oz= 1 pint and 1 cup
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What does the fact that the expressions are equivalent mean?
NNADVOKAT [17]

Answer:

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Step-by-step explanation:

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