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Inga [223]
1 year ago
7

you draw two marbles without replacement from a bag containing four red marbles, two Yellow Marbles and five blue marbles, find

the number of possible outcomes
Mathematics
1 answer:
AleksAgata [21]1 year ago
7 0

A bag contains four red marbles, two Yellow Marbles and five blue marbles.

Two marbles are drawn at random without replacement.

Total number of marbles are,

4\text{ + 2 + 5 = 11}

There are 11 ways to select first marble and 10 ways to select second marble.

The total number of possible outcomes are calculated as,

Total\text{ number of outcomes = 11 }\times\text{ 10 = 110 }

Thus the total number of possible outcomes are 110.

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Assume f(x)=-2x+8 and g(x)=3x. what is the value of (g o f)(3)
Olin [163]

Answer:

6

Step-by-step explanation:

(g o f)(3) = g(f(3))

We can find f(3) using its formula with x=3:

f(3) = -2·3 +8 = -6 +8 = 2

Now, we can find g(2) using its formula with x=2:

g(2) = 3·2 = 6

So, the composition value is ...

(g o f)(3) = 6

7 0
3 years ago
Alex drew a scale drawing of an auditorium. He used the scale 3 inches = 2 feet. If the stage is 30 inches in the drawing, how w
White raven [17]

Answer:

20 feet

Step-by-step explanation:

The scale is 3 inches is to 2 feet

As a ratio, it would be:

\dfrac{3}{2}

The question is what is the actual length of the stage if the drawing is 30 inches. All we need to do is find a ratio proportional to the scale ratio:

\dfrac{3inches}{2feet} = \dfrac{30inches}{xfeet}

Now to find the missing number, cross multiply the fractions first:

\dfrac{3}{2}=\dfrac{30}{x}

(3)(x)=(2)(30)

3x=60

Then solve for x:

3x=60

x=\dfrac{60}{3}

x=20

The answer is 20 feet

8 0
3 years ago
Kyle is practicing for a 3 mile race. His normal time is 23 minutes and 26 seconds. Yesterday it took him 21 minutes and 38 seco
vesna_86 [32]

Answer:

It is 1 minute and 48 second difference so he was 1 minute and 48 second faster, I may be wrong so please check

Step-by-step explanation:

3 0
2 years ago
Which of the following equations is equivalent to 2/3 x - 1/2 y = 6? 2x - y = 6 2x - y = 36 4x - 3y = 36
boyakko [2]

Answer: THE LAST OPTION

Step-by-step explanation:

1. You have the following equation given in the problem:

\frac{2}{3}x-\frac{1}{2}y=6

2. If you multiply both sides of the equation shown above by 6, you obtain the following:

\frac{2*6}{3}x-\frac{1*6}{2}y=6*6

\frac{12}{3}x-\frac{6}{2}y=36

3. When you simplify the equation, you obtain the following equivalent equation:

4x-3y=36

5 0
3 years ago
Someone help please? I’m bad at math.
vichka [17]
Answer B: The graph crosses the y-axis at (0,5), increasing form x=-10 to x=2 and remaining constant from x=2 to x=10. 
3 0
3 years ago
Read 2 more answers
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