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galina1969 [7]
2 years ago
9

Please help i'm really stuck!

Mathematics
2 answers:
ella [17]2 years ago
8 0
The answer is x=-4/3y+4
saveliy_v [14]2 years ago
3 0

Answer:

Step-by-step explanation:

3x + 4y = 12

4y = -3x +12

y = (-3/4)X + 12/4

y = -\frac{3}{4}X  + 3

You might be interested in
3. If P (A) = 0.2 and P (B) = 0.3 and A and B are disjoint, what is P (A or B)?
Hitman42 [59]

Answer:  The calculations are below.

Step-by-step explanation:  The calculations are as follows:

(3) Given that for two events A and B,

P(A)=0.2,~~P(B)=0.3,~~P(A\cup B)=?

Since A and B are disjoint, so

A\cap B=\phi~~~~~\Rightarrow P(A\cap B)=0.

From the law of probability, we have

P(A\cup B)=P(A)+P(B)-P(A\cap B)=0.2+0.3-0=0.50.

Thus, the correct option is (E) 0.50.

(4) Given that a fair six-sided die is rolled. We are to find the probability that an odd number is rolled.

Let, 'A' be event of rolling an odd number. So,

A = {1, 3, 5}   ⇒ n(A) = 3.

Let 'S' be the sample space for the experiment. So,

S = {1, 2, 3, 4, 5, 6}   ⇒ n(S) = 6.

Therefore, the probability of rolling an odd number is given by

P(A)=\dfrac{n(A)}{n(S)}=\dfrac{3}{6}=\dfrac{1}{2}.

Thus, the correct option is (D) \dfrac{1}{2}.

(5) Given that there are 3 red marbles, 4 white marbles, and 1 green marble in a bag and marbles are drawn without replacement.

So, the probability that 3 marbles can be drawn without drawing the green marble is given by

P=\dfrac{7}{8}\times \dfrac{6}{7}\times \dfrac{5}{6}=\dfrac{5}{8}=0.625.

Thus, the correct option is (A) 0.625.

(6) The sample space for rolling a six-sided die is  {1, 2, 3, 4, 5, 6}

and the sample space for tossing a coin is {H, T}.

Therefore, the sample space for rolling a six-sided die and tossing a coin will be

S = {1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}.

Thus, the correct option is {1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}.

(7) Given that for two events A and B,

P(A)=0.2,~~P(B)=0.3,~~~P(A\cup B) =?

Since A and B are independent but not necessarily disjoint, so

P(A\cap B)=P(A)\times P(B)=0.2\times 0.3=0.06.

From the law of probability, we have

P(A\cup B)=P(A)+P(B)-P(A\cap B)=0.2+0.3-0.06=0.5-0.06=0.44.

Thus, the correct option is (C) 0.44.

(8) Given that three coins are tossed.

The sample space for each of them is S = {1, 2, 3, 4, 5, 6}.

The equally likely outcomes when three coins are tossed together are

{(1, 1 , 1), (2, 2, 2), (3, 3, 3), (4, 4, 4), (5, 5, 5), (6, 6, 6)}.

So, the total number of equally likely outcomes = 6.

Thus, the correct option is (C) 6.

Hence all the questions are answered.

7 0
3 years ago
Find the equation of the median shown:
qwelly [4]

Hey there! I'm happy to help!

The median is the line cutting the triangle in this graph. In general, a median connects any of the triangle points to halfway across the side opposite to that point. This median connects R to halfway across the side across from R.

We want to find the equation of  this median. We see that T is at (-2,3) and R is (3,-3). The first thing to do when looking for the equation of the line is to find the slope, or incline. Since we have two points, we can do this very easily. You simply divide the difference in the y-values by the difference in the x-values.

DIFFERENCE IN Y-VALUES

3-(-3)

3+3

6

DIFFERENCE IN X-VALUES

-2-3

-5

Now, we divide the two answers, giving us -6/5.

So, we have our slope, which gives us the equation so far y=-6/5x+b. We just need to find the b, which is our y-intercept. Well, to do this, we plug in one of our points and we can solve for b. We will use (3,-3)!

-3=-6/5(3)+b

-3=-3 3/5+b

We add 3 3/5 to both sides to isolate the b.

b=3/5

This means that this median should hit the y-axis at (0,3/5), and it looks like it does. Therefore, the equation of this median is y=-6/5x+3/5.

Now you can find the slope of a median! Have a wonderful day! :D

8 0
3 years ago
The multiples of 4 have an even number in the tens place.What values do they have in the ones place? With multiples of 4 that ar
4vir4ik [10]

Answer:

0 , 4 , 8

Step-by-step explanation:

Multiples of 4 = 12,16,18,20, 24, 28.............100, 104, 108, 112, 116,120, 124, 128

Numbers that have even no. in tens = 20, 24 , 28 ... 100, 104, 108, 120 , 124, 128

As evident, all these numbers (including those > 100) have 0, 4, 8 as one's place numbers.

5 0
2 years ago
A 3. A card is pulled from a standard deck of cards.
dexar [7]
<h3>Answer:    4/13</h3>

Explanation:

There are 13 hearts, including the queen of hearts. Then there are 3 more queens to get us to 13+3 = 16 cards we're after.

There are 16 cards we want out of 52 total, so the probability is 16/52 = (4*4)/(4*13) = 4/13

3 0
2 years ago
What is 50+_that equal420​
snow_lady [41]

Answer:

370

Step-by-step explanation:

50 + x = 420

x = 420 - 50

x = 370

6 0
3 years ago
Read 2 more answers
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