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77julia77 [94]
4 years ago
6

Which events are independent? Check all that apply.

Mathematics
2 answers:
siniylev [52]4 years ago
6 0

Answer:

Its B C and E

Step-by-step explanation:

Bumek [7]4 years ago
5 0
<u>Options B</u>(number cube and spinner)<u>, C</u>(two cards) <u>and E</u>(card and dart) are independent. The other options have two actions interfering with another. Since Sarah kept her slip of paper in A then she wouldn't be able to have the same probability of drawing it again. Hayden also changes the chances of drawing black socks because he didn't replace the pair he first drew. B and E have two different actions that can't change the output of each other. C Eliza puts the Jack back and thus the situation is independent. 
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A steel ball is dropped from a building’s roof and passes a window, taking 0.125 s to fall from the top to the bottom of the win
Anna35 [415]

Answer:

20.425 m

Step-by-step explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration due to gravity = 9.81 m/s²

s=ut+\frac{1}{2}at^2\\\Rightarrow u=\frac{s-\frac{1}{2}at^2}{t}\\\Rightarrow u=\frac{1.2-\frac{1}{2}\times 9.81\times 0.125^2}{0.125}\\\Rightarrow u=8.98\ m/s

Now this will the final velocity when it reaches the top of the window

v^2-u^2=2as\\\Rightarrow s=\frac{v^2-u^2}{2a}\\\Rightarrow s=\frac{8.98^2-0^2}{2\times 9.81}\\\Rightarrow s=4.11\ m

v=u+at\\\Rightarrow v=8.98+9.81\times 0.125\\\Rightarrow v=10.21\ m/s

If the upward flight is an exact reverse of the downward flight then the time taken while going down will be 1 second and going up will be 1 second.

s=ut+\frac{1}{2}at^2\\\Rightarrow s=10.21\times 1+\frac{1}{2}\times 9.81\times 1^2\\\Rightarrow s=15.115\ m

Hence total height of the building is 4.11+1.2+15.115 = 20.425 m

4 0
4 years ago
The difference between the roots of the equation 2x^2-5x+c=0 is 0.25. Find c.
gogolik [260]
I think u need to add a pic
8 0
3 years ago
Help help help help help
boyakko [2]

Answer:

60.  brainliest?

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I NEED ANSWER NOW PLEASE TELL ME HOW YOU GOT THE ANSWER PLEASE NO LINKS ITS DUE IN 10 MINS!
tekilochka [14]

Answer:

644.972

Step-by-step explanation:

6x100=600

4x10=40

4x1=4

9x(1/10)=0.9

7x(1/100)=0.07

2x(1/1000)=0.002

add all of these values up. hope this helps!

6 0
2 years ago
A knitter wants to make a rug for a dollhouse. The length of the rug will be 2 inches more than it’s width. The total area of th
steposvetlana [31]

The width of the rug is 3 inches

Step-by-step explanation:

A knitter wants to make a rug for a dollhouse

  • The length of the rug will be 2 inches more than it’s width
  • The total area of the rug ( in square inches) based on the width w of the rug (in inches ) is given by A(w) = w (2 + w)
  • The desired area of the rug is 15 square inches

We need to find the width of the rug

∵ The area of the rug is A(w) = w(2 + w)

- Simplify the right hand side

∴ A(w) = 2w + w²

∵ The desired area of the rug is 15 square inches

- Equate A(w) by 15

∴ 2w + w² = 15

- Subtract 15 from both sides

∴ 2w + w² - 15 = 0

- Its a quadratic equation arrange its terms from the greatest power of x

∴ w² + 2w - 15 = 0

Factorize it into two binomial factors

∵ w² = w × w

∵ 15 = 3 × 5

∵ 5w - 3w = 2w

∴ w² + 2w - 15 = (w -3)(w + 5)

∴ (w - 3)(w + 5) = 0

- Equate each factor by 0

∴ w - 3 = 0 OR w + 5 = 0

∵ w - 3 = 0

- Add 3 to both sides

∴ w = 3

∵ w + 5 = 0

- Subtract 5 from both sides

∴ w = -5 ⇒ rejected because no dimension with -ve value

∴ w = 3 only

The width of the rug is 3 inches

Learn more:

You can learn more about the quadratic equation in brainly.com/question/9328925

#LearnwithBrainly

8 0
4 years ago
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