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Umnica [9.8K]
2 years ago
5

A jar has 10 red marbles, 6 purple marbles, and 4 turquoise marbles. Grace wins if she selects a turquoise marble from the jar.

Is this game fair? Why or why not?
Yes, the game is fair because Grace has equal probabilities of winning and losing.
Yes, the game is fair because Grace has equal probabilities of choosing a marble of either color.
No, the game is not fair because Grace has equal probabilities of winning and losing.
No, the game is not fair because Grace has a higher probability of choosing a marble of another color.
Mathematics
1 answer:
docker41 [41]2 years ago
4 0
No, the game is not fair because grace has a higher probability of choosing a marble of another color
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For the equation 21+3x=3x+k, which value of K will create a false equation with no solution
Nitella [24]

Answer:

OPTION B: K = 15

Step-by-step explanation:

The given equation is: 21 + 3x = 3x + K

Substitute K = 3x

we get: 21 = 3x + 3x + 3x

⇒ 21 + 3x = 6x

⇒ 21 = 3x

This gives the value of x = 7. That means K = 3x gives us a solution. So, OPTION A is eliminated.

Now, K = 15

The equation becomes 21 + 3x = 3x + 15

Subtracting 3x on both the sides, we get:

⇒ 21 + 3x - 3x = 15 + 3x - 3x

⇒ 21 = 15 which can not be correct. So, K = 15 renders the equation meaningless and hence with no solution.

So, OPTION B is the answer.

Note that K = 21 will give the equation with infinitely many solutions.

8 0
3 years ago
Let X have the probability mass function P(X = −1) = 1 2 , P(X = 0) = 1 3 , P(X = 1) = 1 6 Calculate E(|X|) using the approaches
Studentka2010 [4]

Answer:

Step-by-step explanation:

From the given information:

Note that the possible values of Y are 0 and 1 because;

y = 0 if X = 0 and y = 1 if X = ±1

∴

P(Y =0) = P(X = 0) =\dfrac{1}{3}

P(Y = 1) = P(X = -1  \ or \ 1) \\ \\ = P(X = -1) + P(X = 1)

= \dfrac{1}{2}+ \dfrac{1}{6}

=\dfrac{3+1}{6}

= \dfrac{2}{3}

b)

E(|X|) = \sum |x| P(X=x) = ( 1 \times \dfrac{1}{2}) + ( 0\times \dfrac{1}{3}) + ( 1 \times \dfrac{1}{6})

= \dfrac{2}{3}

7 0
3 years ago
4. Isabelle takes the bus to work. The bus ride to work costs her $2.50 each time. She could buy a bus pass for a one-time fee o
iren [92.7K]

Answer:

6 times.

Exclamation:

You can do 15 divided by 2,50 to get you answer, when you do that you get 6.

(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!

- •Trix•

( Yes I know my - •Trix• thingy is not my user but it’s what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

8 0
3 years ago
Given cos A 0.42, find angle A in degrees. Round your answer to the nearest hundredth.
kow [346]

Answer:


Step-by-step explanation:

22.78.................................

5 0
4 years ago
Read 2 more answers
1. Determine whether each expression is equivalent to (4x)2/3. Select Yes or No for each expression.
Kamila [148]

here it is in bio they wont let me type it

6 0
3 years ago
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