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Liono4ka [1.6K]
3 years ago
12

A bag contains 10 black marbles and 6 red marbles. If a red

Mathematics
1 answer:
bonufazy [111]3 years ago
7 0

Answer:

66.67% probability of selecting a black marble from the bag.

Step-by-step explanation:

Initially there are 16 marbles, 10 of which are black and 6 of which are red.

A red marble is drawn and not put back. So now there are 15 marbles, of which 10 are black.

So there is a 10/15 = 2/3 = 0.666% 7 = 66.67% probability of selecting a black marble from the bag.

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Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans
zloy xaker [14]
Part A:

Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4

The perimeter of the square is given by 4(x + 4) = 4x + 16

The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12

For the perimeters to be the same

4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2

The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.



Part B:

The area of the square is given by

Area=(x+4)^2=x^2+8x+16

The area of the rectangle is given by 2(3x + 4) = 6x + 8

For the areas to be the same

x^2+8x+16=6x+8 \\  \\ \Rightarrow x^2+8x-6x+16-8=0 \\  \\ \Rightarrow x^2+2x+8=0 \\  \\ \Rightarrow x= \frac{-2\pm\sqrt{2^2-4(8)}}{2}  \\  \\ = \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{-28}}{2}  \\  \\ = \frac{-2\pm2i\sqrt{7}}{2} =-1\pm i\sqrt{7}

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
</span>
7 0
3 years ago
Is -0.142857142857142857 rational or irrational
sesenic [268]

Answer: Irrational because cannot be turned into fractions

Step-by-step explanation:

7 0
3 years ago
Can someone PLEASE help me. I really don't know...
lyudmila [28]

Hope this helps...feel free to ask for any help

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3 years ago
A relay team ran a race. Each team member ran #1/4# of the distance. The whole race was #8/9# mile. How far did each team member
Andre45 [30]
Each member ran 2/9 miles
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3 years ago
Hayley is considering two gym membership plans. The plans are detailed here.
mote1985 [20]
<span>Plan 1: $50 for a monthly pass and a $3 fee for each gym visit

So, the monthly pass is 50 plus 3 for each visit. You know 50 stays constant no matter how much Hayley goes to the gym so you can already put that into the form as 'b' also known as the y-intercept.

y=mx+50

Now, you need to find the slope which is the amount it increases or decreases by every time. Since Hayley gets charged $3 every visit, that would be the slope (m).

Plan 1: y=3x+50

---------------------------------------------------------
</span><span>
Plan 2: $10 for each gym visit
</span>
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y=mx+b
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6 0
3 years ago
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