Answer:
The range of the function y = x2 is all real numbers, y, such that y ≥ 0. In the case of the function y = x2, the domain consists of all real numbers, because there is no number that, when plugged in for x into x2, would create an undefined expression.
Step-by-step explanation:
Answer:
slope: ½
y-intercept: -4½
Step-by-step explanation:
Slope: negative reciprocal of -2
-1/-2 = 1/2
y = ½x + c
-6 = ½(-3) + c
-6 = -3/2 + c
c = -6 + 3/2
c = -9/2 = -4½
Do 5.49 / 23.4
This equals $0.23
The answer is $0.23
Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose
We have 
and 
, because the dice are fair.
Now we use the assumption of independence to claim that
Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:
- 2 in a unique way (1+1)
- 3 in two possible ways (1+2, 2+1)
- 4 in three possible ways
- 5 in three possible ways
- 6 in three possible ways
- 7 in two possible ways
- 8 in a unique way
This implies that the probabilities of the outcomes of 
are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5
There are 36 inches in a yard. 36*6.75 =243. 6.75 yards is the same as 243 inches.
