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VladimirAG [237]

4 years ago

8

Does choosing a blue marble represent the complement event of choosing a red marble

2 answers:

Marina CMI [18]4 years ago

7 0

Answer:The complementary event for choosing a red marble is choosing a blue or purple. The total number of marbles is 5. The probability of choosing a red marble is 1/5, and the complement would be 4/5. That is not the same as choosing a blue marble.

Step-by-step explanation:

Hatshy [7]4 years ago

3 0

No it is exactly the color.

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Write the equation of the circle with center (-4, 8) and passes through the point (-2, -1)

anzhelika [568]

Answer:

$(x+4)^2+(y-8)^2=85$

Step-by-step explanation:

The standard equation for a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

We know that the center is (-4, 8). So, substitute -4 for h and 8 for k:

$(x-(-4))^2+(y-8)^2=r^2\\$

Simplify:

$(x+4)^2+(y-8)^2=r^2$

Now, we will need to find r.

We know that it passes through the point (-2, -1). So, we can substitute -2 for x and -1 for y and solve for r. So:

$(-2+4)^2+(-1-8)^2=r^2$

Evaluate:

$(2)^2+(-9)^2=r^2$

Square:

$4+81=r^2$

Add:

$r^2=85$

So, r squared is 85.

We don’t actually have to solve for r itself, since we will have to square it anyways.

So, we have:

$(x+4)^2+(y-8)^2=r^2$

Substituting 85 for r squared, we get:

$(x+4)^2+(y-8)^2=85$

And we have our equation.

8 0

3 years ago

Figure out the pattern, fill in<br> the blank square.<br> 64 8<br> 16 4<br> 2 2<br> 2<br> 8<br> 1

erma4kov [3.2K]

Answer:

512

Step-by-step explanation:

You are multiplying the bottom two numbers connected to the box on top.

In this case, multiply 64 with 8:

64 * 8 = 512

512 is your answer.

~

6 0

3 years ago

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Elena’s bus runs every 20 minutes. If she arrives at her bus stop at a random time, what is the probability that she will have t

frozen [14]

Answer:

P = 15/20 = 3/4

Step-by-step explanation:

8 0

3 years ago

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Solve the system of equations by substitution. What is the product of x and y from the solution? 2x + 3y = 12 5x − y = 13

Darina [25.2K]

2x + 3y = 12 (1st)

5x − y = 13 (2nd) ---> y = 5x - 13

Substitute y = 5x - 13 into (1st) equation

2x + 3(5x - 13) = 12

2x + 15x - 39 = 12

17x - 39 = 12

17x = 51

x = 3

substitute x = 7 into y = 5x - 13

y = 5x - 13

y = 5(3) - 13

y = 15 - 13

y = 2

Answer

solution x = 3 and y = 2

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3 years ago

Draw a parallelogram that has side lengths of 2 inches and 1 inch and which has angle measures of 120° and 60°. Label all measur

ANEK [815]

Answer:

see attached

Step-by-step explanation:

6 0

3 years ago

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