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12345 [234]
3 years ago
11

5. A number cube has faces numbered 1 through 6, and a coin has two sides, heads and tails. The number cube will be rolled once,

and the coin will be flipped once.
Find the probabilities of the following events. (Express your answers as fractions in lowest terms.)
a. The number cube shows a 6.
b. The coin shows heads.
c. The number cube shows a 6, and the coin shows heads.
d. The number cube shows a 6, or the coin shows heads.
Mathematics
1 answer:
valkas [14]3 years ago
8 0

Answer your phone :

Step-by-step explanation:

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Colleen recorded the type of trees in the woods near her house. She counted 20 spruce trees and 50 maple trees. What is the expe
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3 0
3 years ago
A point $(x, y)$ with integer coordinates is randomly selected such that $0 \le x \le 8$ and $0 \le y \le 4$. what is the probab
ahrayia [7]

Answer:

\frac{1}{3}

Step-by-step explanation:

A point (x, y) with integer coordinates is randomly selected such that 0 \le x \le 8 \:and\: $0 \le y \le 4$.

The possible pairs of (x,y) are:

(0,0),(0,1),(0,2),(0,3),(0,4)

(1,0),(1,1),(1,2),(1,3),(1,4)

(2,0),(2,1),(2,2),(2,3),(2,4)

(3,0),(3,1),(3,2),(3,3),(3,4)

(4,0),(4,1),(4,2),(4,3),(4,4)

(5,0),(5,1),(5,2),(5,3),(5,4)

(6,0),(6,1),(6,2),(6,3),(6,4)

(7,0),(7,1),(7,2),(7,3),(7,4)

(8,0),(8,1),(8,2),(8,3),(8,4)

The Total Possible Outcomes n(S)= 45

The pair (x, y) that satisfies the given condition (say event A: x + y \le 4) are:

(0,0),(0,1),(0,2),(0,3),(0,4)\\(1,0),(1,1),(1,2),(1,3)\\(2,0),(2,1),(2,2)\\(3,0),(3,1)\\(4,0)

n(A)=15

Therefore:

P(A)=\frac{n(A)}{n(S)} =\frac{15}{45} =\frac{1}{3}

5 0
4 years ago
Solve (x+6)/(4x^2)+3/(2x^2)=(x+4)/(2x^2)
dolphi86 [110]
The answer is that x=4:) comment if you want the steps
3 0
3 years ago
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