A number that can add up to 10 and multiplies to 11 is 1 since 11 is a prime number
14/99
Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).
This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.
Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:
{(2×7)/(11×10×9)}×10=14/99
A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.
Answer: 27/36
Step-by-step explanation: It says there are 36 bikes (18 pairs), meaning that there are 2 bikes per pair because 18 multiplied by 2 is 36.
1 pair (2 bikes) are yellow.
3 pairs (6 bikes) are red.
For purple, add yellow and red together: 2 + 6 = 8. Subtract the total number of bikes from this: 36 - 8 = 28 purple bikes.
If you take out 1 purple bike, this leaves you with 27. The probability of choosing a purple bike out of the total (36), is 27/36.
Please let me know if this is correct or wrong.
<span>Look
for the sum of 56 and 64, written as the product of its GCF and another sum.
First, let’s find the greatest common factor of both given numbers:
=> 56 = 1, 2, 4, 7, 8, 13, 28 and 56
=> 64 = 1, 2, 4, 8, 16, 32, and 64
Now, we need to find the greatest common factor between the two numbers. The GCF
of the 2 numbers is 8.
=> 56 / 8 = 7
=> 64 / 8 = 8
=> 56 + 64 = 120
=> (8 x 7) + (8 x 8)
=> 56 + 64
=> 120.</span><span>
</span>
3x - 4y = 8
y = mx + b ; m is the slope ; b is the y-intercept
-4y = -3x + 8
y = -3x/-4 + 8/-4
<u>y = 3/4 x - 2</u>
Need to check if the given choices have the same slope.
3x + 4y = -8
4y = -3x - 8
y = -3/4 x - 8/4 = -3/4 x - 2
6x - 8y = 12
-8y = -6x + 12
y = -6/-8 x + 12/-8
y = 3/4 x - 1 1/2
9x - 12y = 24 This equation would cause a consistent-dependent system
-12y = -9x + 24
y = -9/-12 x + 24/-12
<u>y = 3/4 x - 2</u>
16x + 12y = -10
12y = -16x - 10
y = -16/12 x - 10/12
y = -1 1/3 x - 5/6
