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Elza [17]
3 years ago
8

A group of seven musicians includes three violinists and four harpists. An instructor randomly selects one of the musicians to p

lay the first part of a duet and a different musician to play the second part of a duet. Use a sample space to determine whether randomly selecting a
violinist first and randomly selecting a harpist second are independent events.
Mathematics
1 answer:
katrin2010 [14]3 years ago
3 0

Answer:

They are dependent events. Event A is choosing one musician while Event B is choosing another musician. THey are ALL musicians, no matter what instrument they play, we just know that there are 7 musicians in total. Therefore, the events are dependent because after choosing one musician, you would have 6 musicians left, instead of 7.

Step-by-step explanation:

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In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of t
Anton [14]

Answer:

97.96 cm

596.14 cm²

Step-by-step explanation:

sides become:

  • 30 cm ⇒ 16 cm
  • 25 cm ⇒ 11 cm

and added corners:

  • 4*2πr/4= 2πr = 2*3.14*7 cm= 43.96 cm

then perimeter is:

  • P= 2*16+2*11+43.96= 97.96 cm

the area left is:

  • A= 30*25- 4*1/4*3.14*7²= 596.14 cm²

5 0
4 years ago
Find f(-7) if f(x) = 2x + 8
inna [77]

Answer:

-6

Step-by-step explanation:

f(x) = 2x + 8

Put x as -7.

f(-7) = 2(-7) + 8

Multiply first.

f(-7) = -14 + 8

Add.

f(-7) = -6

7 0
3 years ago
Read 2 more answers
Find the solution to the system of equations,x+3y and 2x+4y=8
Sati [7]

Answer:

x = -7/3y + 8/3

y = -3/7x + 8/7

Step-by-step explanation:

First, set the equations next to each other to find x and y, I'll start with x:

x + 3y + 2x + 4y = 8

Combine like terms

3x + 7y = 8

Subtract both sides by 7y

3x + 7y - 7y = 8 - 7y

3x = 8 - 7y

I'll re-order the equation to make it easier to divide

3x = -7y + 8

Divide both sides by 3

3x / 3 = -7y + 8 /3

x = -7/3y + 8/3

If you need decimals just divide with a calculator

Now to find y:

We already combined like terms so we don't need to do that again...

3x + 7y = 8

Subtract both sides by 3x

3x - 3x + 7y = 8 - 3x

7y = 8 - 3x

I'll reorder the equation once again so the variable comes first

7y = -3x + 8

Divide both sides by 7

7y / 7 = -3x + 8 / 7

y = -3/7x + 8/7

Again, use a calculator to divide completely for decimals.

6 0
3 years ago
Multipul choice
Gnoma [55]

Answer:

the answer is F if x=8

Step-by-step explanation:

3 0
2 years ago
What is the perimeter and area? How do I work it out?
fiasKO [112]
I'm guessing 30 because of that missing spot
4 0
4 years ago
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