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Anika [276]
2 years ago
8

A bag is filled with 100 marbles that are all the same size and shape each marble has one color the number of marbles in a color

s are listed below 21 green 35 blue 18 red 26 yellow one marble is randomly selected from the bag which word best describes the probability of it being green
Mathematics
1 answer:
Svetlanka [38]2 years ago
4 0

Answer: 21/100

Step-by-step explanation:

Number of green marbles = 21

Number of blue marbles = 35

Number of red marbles = 18

Number of yellow marbles = 26

Total number of marbles = 100

The probability of choosing a free marble will be:

= Number of green marbles / Tot number of marbles

= 21 / 100

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A bag contains 6 black marbles and 4 white marbles. Sally takes out a black marble and does not put it back. What is the probabi
Neko [114]

Answer:

\frac{5}{9}

Step-by-step explanation:

Total\ marbles=10\\\\Black=6\\\\White=4

After removing one black marble:

Total\ remaining\ marbles=9\\\\Remaining\ Black=5\\\\P(Black)=\frac{Remaining\ Black\ marbles}{Total\ remaining\ marbles}\\\\P(Black)=\frac{5}{9}

6 0
3 years ago
Verify if f(x)= 5-3x/2 and g(x)= 5-2x/3 are inverses. Please show step by step.
mestny [16]

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

<h3>Inverse of functions</h3>

In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))

Given the function

f(x)= 5-3x/2 and

g(x)= 5-2x/3

f(g(x)) = f(5-2x/3)

Substitute

f(g(x)) = 5-3(5-2x)/3)/2

f(g(x)) = (5-5+2x)/2

f(g(x)) = 2x/2

f(g(x)) = x

Similarly

g(f(x)) = 5-2(5-3x/2)/3

g(f(x)) = 5-5+3x/3

g(f(x)) = 3x/3

g(f(x)) =x

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

Learn more on inverse of a function here: brainly.com/question/19859934

#SPJ1

7 0
1 year ago
Jeff is four years less than twice his nephew's
ira [324]

Answer:

His nephew would be 11.

Step-by-step explanation:

First, you should model the word problem into an equation. This gives you the equation 18=2x-4. Then, you add 4 to both sides of the equation, getting 22=2x. Then, you divide both sides by two, which equals 11, which shows that his nephew is 11 years old. Hope this helped!

8 0
3 years ago
Read 2 more answers
How many ounces in 2 pints
Elis [28]

Answer:

32 US Fluid Ounces

More Details would be nice though if i'm incorrect.

6 0
2 years ago
Read 2 more answers
Can someone please help me with math.
krek1111 [17]

Answer:

Step-by-step explanation:

1) Number of nickels = x

Number of quarter = y

x + y = 7   ----------------------(I)

x = 7 - y ------------------------(II)

0.05x + 0.25y = 0.55 -----------(III)

Substitute s = 7 - y in equation (III)

0.05*(7 - y)  + 0.25y = 0.55

0.05*7 - 0.05*y + 0.25y = 0.55

0.35 <u>- 0.05y + 0.25y</u>  = 0.55            {Combine like terms}

0.35  + 0.20y  = 0.55          {Subtract 0.35 from both sides}

  0.2y = 0.55 - 0.35

   0.2y = 0.2       {Divide both sides by 0.2}

        y = 0.2/0.2

y = 1

Substitute y =1 in equation (II)

x = 7 - 1

x = 6

Number of nickels = 6

Number of quarter = 1

2) Number of children tickets = x

Number of adult tickets = y

x + y = 40  -----------------(I)

     x = 40 - y  -----------------(II)

2x + 5y = 170 -----------------(III)

Substitute x = 40 - y in equation (III)

2*(40-y) + 5y = 170

2*40 - 2*y + 5y = 170

80 <u>- 2y + 5y</u>   = 170             {Combine like terms}

80 + 3y = 170                {Subtract 80 from both sides}

       3y = 170 - 80

       3y = 90       {Divide both sides by 3}

         y = 90/3

y = 30

Substitute y = 30 in equation (II)

x  = 40 - 30

x = 10

Number of children tickets = 10

Number of adult tickets =30

3 0
3 years ago
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