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Mathematics

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Zanzabum3 years ago

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Your answer would be 0.

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A spinner numbered 1 through 12 is spun. Find the probability that

anastassius [24]

Answer:

$\dfrac{1}{6}$

Step-by-step explanation:

Let A be the event of getting an odd number.

P(A) be the probability of getting an odd number.

Total odd numbers here are 6 i.e. $\{1,3,5,7,9,11\}$

Here, total numbers in the game are 12 i.e $\{1,2,3,....,12\}$ .

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

$P(A) = \dfrac{6}{12}\\\Rightarrow \dfrac{1}{2}$

Let B be the event of getting 11.

P(B) be the probability of getting 11.

Total number of possible cases is 1.

$P(B) = \dfrac{1}{12}$

$P(A \cap B)$ is the probability that we get 11 and an odd number.

Possible number of cases = 1

$P(A\cap B) = \dfrac{1}{12}$

P(B/A) is the probability that we get an 11 given that it is an odd number.

$P(B/A) = \dfrac{P(A \cap B)}{P(A)}\\\Rightarrow \dfrac{\dfrac{1}{12}}{\dfrac{1}{2}}\\\Rightarrow \dfrac{1}{6}$

Hence, P(B/A) = $\dfrac{1}{6}$

4 0

3 years ago

Read 2 more answers

A gallon is equal to 128 oz. Loretta drinks 6.4 oz of milk twice a day. How many days will it take for Loretta to finish a gallo

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

120/6.4=20

It will take her 20 days

6 0

3 years ago

Read 2 more answers

Which equation represents a linear function that has a slope of 4/5 and a y-intercept of –6?

vredina [299]

Answer:

$\large\boxed{y=\dfrac{4}{5}x-6}$

Step-by-step explanation:

The slope-intercept form of equation of a linear function:

$y=mx+b$

m - slope

b - y-intercept

We have the slope m = 4/5 and the y-intercept b = -6. Substitute:

$y=\dfrac{4}{5}x-6$

3 0

3 years ago

Read 2 more answers

Alex has a collection of sports cards. There are 10 cards in the collection, and 1/5 of them are hockey cards. Alex decides to d

Alborosie

If 1/5 of the cards are hockey cards, there are 2 hockey cards. if he wants to double that amount, he would multiply it by 2, so 2•2=4. The fraction of hockey cards is now is 2/5.

4 0

3 years ago

Find the cosine of ∠J.

Luden [163]

Answer:

$\cos = \frac{base}{hypotenuse} = \\ \cos(j) = \frac{ \sqrt{29} }{ \sqrt{94} } = \sqrt{ \frac{29}{94} } \\ answer = \sqrt{ \frac{29}{94} }$

7 0

3 years ago