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2 years ago

Select all of the ordered pairs (x,y) that are solutions to the linear equation 2x+3y=6.

Mathematics

1 answer:

Romashka-Z-Leto [24]2 years ago

6 0

Answer: (0,2), (3,0), (6, -2)

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Conditional Probability Assistance?

krek1111 [17]

Let the event $A=\{ Sophomore \}, B=\{ Boy \}$

The the probability of the events

$P(A \cap B)=\frac{5}{12+18} =\frac{1}{6}$

$P( B)=\frac{12}{12+18} =\frac{2}{5}$

The conditional probability

$P(Sophomore|Boy)=P(A|B)=\frac{P(A \cap B)}{P(B)} =\frac{1/6}{2/5} =\frac{5}{12}$

5 0

3 years ago

Solve the equation using elimination. Is this a consistent, inconsistent, or dependent? What is the solution

Basile [38]

9514 1404 393

Answer:

(x, y) = (-1, -3)

Step-by-step explanation:

The equations are "consistent" and "not dependent." This will be the case whenever the ratios of x- and y-coefficients are different.

We can solve this by "elimination" by multiplying the first equation by -4 and adding the result of the second equation being multiplied by 7.

-4(2x -7y) +7(7x -4y) = -4(19) +7(5)

-8x +28y +49x -28y = -76 +35 . . . . eliminate parentheses

41x = -41 . . . . . simplify

x = -1 . . . . . . . divide by 41

Using the second equation, we find y to be ...

(7x -5)/4 = y = (7(-1) -5)/4 = -12/4 = -3

So, the solution is (x, y) = (-1, -3).

7 0

2 years ago

It costs a publishing company $0.55 to print one copy of a certain novel. This company paid $725,000 for the rights to the novel

Dmitrij [34]

Answer:

The correct answer is b. 116,900

The publishing company must sell 116,900 copies of the book to break even.

Step-by-step explanation:

Each book costs 0.55 to make and the company can sell it at 6.75, which means that the company earns 6.20 from each book, this is called the net value. If you divide the amount htat the company paid for the rights by the net value you can find the total number of copies that the company has to sell to break even.

# books = $725,000/$6.20 = 116935 or approximately 116900 copies of the book.

8 0

3 years ago

A hypothesis is ________. a prediction about something that has not yet been observed a statement that explains an observed phen

AlexFokin [52]

Answer:

a testable proposition that explains an observed phenomenon or answers a question

Step-by-step explanation:

Basically an hypothesis is a theory given as a solution to a question proposed by a problem in from of you, but that it needs testing before it can be taken as truth or not

8 0

2 years ago

I NEED HELP PLEASE! ;0

Fittoniya [83]

Answer:

4:6 or 2:3

Step-by-step explanation:

Since the ratio of mass of oxygen to carbon is 4:3, when there are two carbons the ratio will be 4:3*2=4:6=2:3. Hope this helps!

8 0

2 years ago