Answer:
option D 9x³
Step-by-step explanation:
the monomial 9x³ comes from (3x)³, which gives, 3×3×3×x×x×x= 9x³
9 is 3 times 3 and x³ is 3 times x. So here, 9x³ is a perfect cube
Given:
On the first day, she drove 650 miles in 10 hours.
On the second day, she got a later start and drove 540 miles in 8 hours.
To find:
Difference between average speed of second day and first day.
Solution:
We know that,

On the first day, she drove 650 miles in 10 hours. So, the average speed is


So, the average speed on first day is 65 miles per hour.
On the second day, she got a later start and drove 540 miles in 8 hours.


So, the average speed on second day is 67.5 miles per hour.
Difference between average speed is

Therefore, the average speed on the second day is 2.5 miles per hour is faster than first day.
Answer:
56
Step-by-step explanation:
Given that there are 8 candidates for student government: Hal, Mary, Ann, Frank, Beth, John, Emily, and Tom.
The three candidates that receive the highest number of votes become candidates for a runoff election.
i.e. 3 persons out of 8 to be selected for becoming candidates for a runoff election.
Since order does not matter we use combinations here
3 persons out of 8 can be done in 8C3 ways
= 56
no of 3-candidate combinations possible are 56
Answer:
Posting this assignment is a violation of the academic integrity code you agreed to when you enrolled in your course. If you need help, ask your teacher.
Step-by-step explanation:
Most helpers on Brainly don't really know what they are talking about. And even if you find someone who does, you will be depriving yourself of the opportunity to learn. Please put some effort into this. You are capable of much more than you realize!
Answer:
he can expect to lose 0.5$
Step-by-step explanation:
To solve this problem we must calculate the expected value of the game.
If x is a discrete random variable that represents the gain obtained when rolling a dice, then the expected value E is:

When throwing a dice the possible values are:
x: 1→ -$9; 2→ $4; 3→ -$9; 4→ $8; 5→ -$9; 6→ $12
The probability of obtaining any of these numbers is:

The gain when obtaining an even number is twice the number.
The loss to get an odd number is $ 9
So the expected gain is:
