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blondinia [14]
3 years ago
9

Match the equation with the graph -0.4x-0.8y=0.10

Mathematics
1 answer:
laiz [17]3 years ago
7 0
Can't see the graph, but it should look something like this:

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
-4(x+3)=8 show work please
Nadusha1986 [10]

Answer:

x = -5

Step-by-step explanation:

-4(x+3)=8

(-4)(x)+(-4)(3)=8 (distribute)

-4x - 12 = 8

-4x - 12 + 12 = 8 + 12

-4x = 20

-4x/-4 = 20/-4 =

x = -5

-Elaina <3

4 0
3 years ago
Out of 75,000 voters in a constituency 65%
serious [3.7K]
<h3>Answer:</h3>

\large\boxed{35\%\,\text{did not vote;}\,48,750\,\text{voted}}

<h3>Step-by-step explanation:</h3>

In this question, we're trying to find the amount of people that did not vote and the percentage of people that didn't vote.

We know that 65% of people voted and percents are out of 100%.

We would subtract 65 form 100 to get out percentage that didn't vote.

100-65=35

35% of people didn't vote.

Now, we can solve the next question.

A total of 75,000 people voted. What we're going to have to do is find how much of 75,000 is 65%.

We would do this by multiplying 75,000 by 0.65

75,000*0.65=48,750

This means that 48,750 people voted.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

3 0
3 years ago
Carlos says that 17.43÷100 is the same as 174.3÷0.01 is he correct? Explain.
klio [65]
No, in order for this to be correct, you'd have to move BOTH decimals in the same direction the same amount of places.<span />
6 0
3 years ago
Read 2 more answers
Solve the system of linear equations by substitution 12x+y=−4 y=2x+16
ki77a [65]

Answer:

Your solution is (-10/7, 92/7)

Step-by-step explanation:

12x + y = -4

y = 2x + 16

To use substitution, we want to plug one variable's equation into the other equation.

We can see that y is already solved for us. Plug y into the first equation.

12x + y = -4

12x + (2x + 16) = -4

Combine like terms.

14x + 16 = -4

Subtract 16 from both sides.

14x = -20

Divide both sides by 14.

x = -20/14

x = -10/7

Now that we know x, we will plug it into one of the other equations.

y = 2x + 16

y = 2(-10/7) + 16

Multiply.

y = -20/7 + 16

Add.

y = -20/7 + 112/7

y = 92/7

Your solution is (-10/7, 92/7)

Hope this helps!

8 0
2 years ago
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