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3 years ago

What is the solution to this system of equations?

Mathematics

2 answers:

soldier1979 [14.2K]3 years ago

3 0

Answer:

The solution is where the two lines intersept. Therefore, the answer is (4,2).

Step-by-step explanation:

I hope this helps.

kkurt [141]3 years ago

3 0

It is where the two line intersect, so it is (4,2) plz give brainliest

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A space shuttle orbits Earth at a speed of 21,000 km/hr. How far will it travel in 5 hours?

tresset_1 [31]

<span>21,000*5
since it travels 21,000 per hour and there is five hours. it's just simple substitution.
105,000 is the correct answer.</span>

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3 years ago

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The diagonal of a rectangle is 25 in. The width is 15 in. What is the area of the rectangle

djyliett [7]

Here is your answer > >

Width of rectangle =15 inches

Length of rectangle =?

Diagonal of rectangle = 25 inches

We know that

(Diagonal of rectagle)^2=length^2+breadth^2

(25)^2=l^2+(15)^2

625=l^2+225

l^2=625-225

l^2=400

l=Root 400

l=20 inches

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Bebrainly

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3 years ago

Statistics show that about 42% of Americans voted in the previous national election. If three Americans are randomly selected, w

MrRa [10]

Answer:

19.51% probability that none of them voted in the last election

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they voted in the previous national election, or they did not. The probability of an American voting in the previous election is independent of other Americans. 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.

42% of Americans voted in the previous national election.

This means that $p = 0.42$

Three Americans are randomly selected

This means that $n = 3$

What is the probability that none of them voted in the last election

This is P(X = 0).

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

$P(X = 0) = C_{3,0}.(0.42)^{0}.(0.58)^{3} = 0.1951$

19.51% probability that none of them voted in the last election

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3 years ago

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is

Maksim231197 [3]

X + y = 24....multiply by -3
3x + 5y = 100
---------------
-3x - 3y = - 72 (result of multiplying by -3)
3x + 5y = 100
--------------add
2y = 28
y = 28/2
y = 14

x + y = 24
x + 14 = 24
x = 24 - 14
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solution is (10,14)...and x represents 3 point q's and y represents 5 point q's......so this tells me there are 10 three point q's and 14 five point q's.

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Answer:

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