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Dvinal [7]
2 years ago
13

there are 6 red, 3 blue, 5 green, and 4 yellow marbles in a bag. two marbles are removed from the bag, one after another, withou

t replacement. what is the probability that both marbles removed from the bag are red?

Mathematics
1 answer:
stich3 [128]2 years ago
8 0

Answer:

p(red)=6/18+6/18=2/3

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Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options.
Elanso [62]

Answer:

2 and 5

Step-by-step explanation:

The slope-intercept form of a line is y=mx-b where m is slope and b is y-intercept.

The point-slope form of a line is y-y1=m(x-x1) where m is the slope and (x1,y1) is a point on the line.

The standard form a line is ax+by=c.

So anyways parallel lines have the same slope.

So if we are looking for a line parallel to 3x-4y=7 then we need to know the slope of this line so we can find the slope of our parallel line.

3x-4y=7

Goal: Put into slope-intercept form

3x-4y=7

Subtract 3x on both sides:

  -4y=-3x+7

Divide both sides by -4:

   y=\frac{-3}{-4}x+\frac{7}{-4}

Simplify:

   y=\frac{3}{4}x+\frac{-7}{4}

So the slope of this line is 3/4.  So our line that is parallel to this one will have this same slope.

So we know our line should be in the form of y=\frac{3}{4}x+b.

To find b we will use the point that is suppose to be on our new line here which is (x,y)=(-4,-2).

So plugging this in to solve for b now:

-2=\frac{3}{4}(-4)+b

-2=-3+b

3-2=b

b=1

so the equation of our line in slope-intercept form is y=\frac{3}{4}x+1

So that isn't option 1 because the slope is different.  That was the only option that was in slope-intercept form.

The standard form of a line is ax+by=c and we have 2 options that look like that.

So let's rearrange the line that we just found into that form.

y=\frac{3}{4}x+1

Clear the fractions because we only want integer coefficients by multiplying both sides by 4.

This gives us:

4y=3x+4

Subtract 3x on both sides:

-3x+4y=4

I don't see this option either.

Multiply both sides by -1:

3x-4y=-4

I do see this as a option. So far the only option that works is 2.

Let's look at point slope form now.

We had the point that our line went through was (x1,y1)=(-4,-2) and the slope,m, was 3/4 (we found this earlier).

y-y1=m(x-x1)

Plug in like so:

y-(-2)=3/4(x-(-4))

y+2=3/4 (x+4)

So option 5 looks good too.

7 0
3 years ago
Read 2 more answers
I need your help right now!
Orlov [11]

Answer: B

Step-by-step explanation: I think if it is wrong i am so so so so so so sorry but i am 79.99999% positive

6 0
3 years ago
Read 2 more answers
Number 2 please thanks
Alex

Answer:

c) 2x+1

Step-by-step explanation:

Let's x be number of Nick's goals.

Emma has scored 1 more than twice the number of Nicks.

1 more is +1, of twices the number is 2x.

so 2x+1=15

6 0
3 years ago
Read 2 more answers
HELP ME PLZZI NEED HELP WITH THIS!!
yulyashka [42]

Answer:

c trust me and please rate and thank mine please

Step-by-step explanation:

7 0
3 years ago
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What is the volume of a sphere with a radius of 4 cm? Use 3. 14 for pi. Round to the nearest hundredth. 50. 24 cm³ 66. 99 cm³ 20
Nimfa-mama [501]

The volume of the sphere is 267. 95 cm³.

<h2>Given </h2>

The radius of the sphere is 4cm.

<h3>What is the volume of sphere?</h3>

The volume of a sphere is the three-dimensional space occupied by a sphere.

The volume of the sphere is determined by the following formula;

\rm Volume = \dfrac{4}{3} \pi r^3

Where r is the radius of the sphere.

Substitute all the values in the formula;

\rm Volume = \dfrac{4}{3} \pi r^3\\\\\rm Volume = \dfrac{4}{3} \times (3.14) \times 4^3\\\\Volume = 4 \times 1.04 \times 64\\\\Volume = 267.95\ cm ^3

Hence, the volume of the sphere is 267. 95 cm³.

To know more about Volume of Sphere click the link given below.

brainly.com/question/369459

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3 years ago
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