Factor out common terms in the first two terms, then in the last two terms
4x^2(5x - 3) + 3(5x - 3)
Factor out the common term 5x - 3
<u>= (5x - 3)(4x^2 + 3)</u>
1/5
Each of the 5 balls has 5 possible combinations, as each one (1 - 5) can be paired with any of the 5. Therefore, the total number of combinations is 25.
For the product to be even, one of the balls has to be a 2 or 4. However, 2 multiplied by any number 1 - 5 is not greater than 10, so 2 is not an option. This means one of the balls has to be a 4.
There are only 3 numbers of 1 - 5 that, when multiplied by 4, are greater than 10. These are 3, 4, and 5.
This means that there are 5 combinations that work:
3 × 4 = 12
4 × 3 = 12
4 × 4 = 16
4 × 5 = 20
5 × 4 = 20
This means that 5 out of 25 combinations produce a result that is both even and greater than 10.
5/25 is then simplified to 1/5
Answer:
Step-by-step explanation:
Given that if an odd number comes up, you lose.
i.e. 

If you get 2 or 4 you roll again
Thus rolling again prob = 
After rolling II time, if get 6, win otherwise lose.
Thus winning amounts A canbe
0 36 60

This is a genuine pdf since prob >0 and total prob = 1.
b)Expected gain = sum of gain * prob = 
Thus I would be willing to pay an amount atmost 12 dollars.
Answer:
The vale of x is 3/5.
Step-by-step explanation:
First you have to expand out :



Next you have to solve it by adding 6 to both sides :
Let expression = 0,





The measurements that will be dragged into the box is 1.4 feet, 1.31 feet, 1.44 feet.
The rest of the measurement wouldn't be within the bounds and thus will not be dragged in.