Answer:
The probability of both points falling in the same row or column is 7/19, or approximately 37%
Step-by-step explanation:
The easiest way to solve this is to think of it rephrased as "what is the probability that your second point will be in the same row or column as your first point". With that frame of reference, you can simply consider how many other points are left that do or do not fall in line with the selected one.
After selecting one, there are 19 points left.
The row that the first one falls in will have 3 remaining empty points.
The column will have 4 remaining empty points.
Add those up and you have 7 possible points that meet the conditions being checked.
So the probability of both points falling in the same row or column is 7/19, or approximately 37%
Answer:
The values of 
and 
are 
and 
, respectively.
Step-by-step explanation:
The statement is equivalent to the following mathematic expression:
(1)
By definition of the perfect square trinomial:
And by direct comparison we have the following system:
(2)
(3)
By (3), we solve for :
The values of and are and , respectively.
Answer:9.072×10³
Step-by-step explanation:
A number is said to be written in a scientific notation or standard form if it is expressed in the form a×10n where 1 is less than or equal to a and a is less than 10 and n is an integer
9072 is more than 10
So 9072÷10=907.2
Still 907.2 is more than 10
So 907.2÷10=90.72
Still 90.72 is more than 10
So 90.72÷10=9.072
9.072 is less than 10
We divided 9072 by 1000 and 1000 as a power of ten is 10³
So the answer is 9.072×10³
Answer:
fixed - monthly rent, car payment, savings for new guitar
variable - movies, video games, snacks
Step-by-step explanation:
Fixed costs are costs that do not vary with output.
the amount of rent paid is fixed.
Variable costs are costs that vary with production
the amount paid at the movies depend on the number of movies watched
Answer: 45 = 5t
Step-by-step explanation:
From the question, Jamahl wants to celebrate his birthday by roller skating with his friends and he has a total of $45dollar to buy t tickets.
We are further told that the ticket costs $5. The equation that matches the situation will be:
45 = (5 × t)
45 = 5t
t = 45/5
t = 9
He can buy 9 tickets
