Answer:
Step-by-step explanation:
A)
You can roll a four in the following 3 ways
2 2
1 3
3 1
If the dice are fair and you can roll any one of 8 numbers then the the total number of ways that you can roll 2 eight sided dice is 8 * 8 = 64
Answer 3/64 or 0.0469
B)
You can roll a pair of ones only 1 way.
1/64 = 0.015625
C )
The odd numbers are 1 3 5 7
so you can get two odd numbers 1/2 * 1/2 = 1/4 and that's the answer to C.
Answer: (x, y) = (-26, 10)
This means x = -26 and y = 10 pair up together
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How to get that answer:
Add the equations straight down. Think of having 3 separate columns for the three different like terms.
- 3x + (-3x) becomes 0x and that's just 0. So the x terms go away
- 9y + (-6y) is the same as 9y-6y which turns into 3y
- 12 + 18 becomes 30
After all that, we're left with the simpler equation 3y = 30. That solves to y = 10 after dividing both sides by 3.
Plug this back into any equation involving x and y. Solve for x
3x+9y = 12
3x+9(10) = 12
3x+90 = 12
3x = 12-90
3x = -78
x = -78/3
x = -26
We have found that x = -26 and y = 10 pair up together to form the solution.
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Checking the answer:
Plug (x,y) = (-26, 10) into the first equation
3x+9y = 12
3(-26)+9(10) = 12
-78+90 = 12
12 = 12
We get a true equation since the same thing is on both sides.
Repeat the same idea for the second equation
-3x-6y = 18
-3(-26) - 6(10) = 18
78 - 60 = 18
18 = 18
The second equation is true as well.
Both equations are true, so the solution (x, y) = (-26, 10) is confirmed.
Answer: -x + 1173
Step-by-step explanation:
23 (3 + 48) - x
23 x 3 = 69 and 23 x 48 = 1104
(69 + 1104) - x
69 + 1104 = 1173
1173 = -x or -x = 1173
Here's the answer for your problem
Answer:
Option B.
Step-by-step explanation:
In the given events lets find out the event that has a probability other than 1/2.
A. Flipping a coin gives result of head or tail, so the probability of the result of tails is 1/2.
B. Choosing a vowel from a bag of tiles that contains one of each letter of the alphabet, so the probability of choosing vowel is 5/26.
C. A cube that has numbered from 1 to 6, there are 3 even numbers and 3 odd numbers, so the probability of rolling even number is 3/6 or 1/2.
D. There is 26 red cards in a standard deck of 52 cards, so the probability of choosing red card is 26/52 or 1/2.
Therefore, events A, C and D gives result of 1/2 and B other than 1/2
So Option B is the correct answer.
