Hello! There are a few things that determine whether or not something is a function. In this case, to determine whether a relation is a function, we look at the domains, which are the x-coordinates, the first number of the pair. If the number occurs in the x-coordinate for more than one pair in a relation, then it's not a function. If a number only occurs as an x-coordinate once in the relation, then it's a function. In other words, they each have only one y-coordinate in the relation. For this question, the first, second, and third relations are functions. The fourth one is not a function, because the 3 has more than one y-coordinate, so it occurs as an x-coordinate more than once. Here are the answers easier to read.
1st : yes
2nd: yes
3rd: yes
4th: no
Answer:
About 1 gallon. (32/30)
Step-by-step explanation:
First get a LCM (least common multiple) for 3, 5, and 2.
Now we have 30. Make 30 the denominator for all.
10/30
15/30
7/30
Then add them all up to get 32/30.
About 1 gallon.
X is the number
when x is decreased by 18, we say 18-x
the result is 14
18-x=14
minus 18 both sides
-x=-32
times both sides by -1
x=32
Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.
2 standard deviations = 2 × 0.5 = 1
63 - 1 = 62 seconds
63 + 1 = 64 seconds
Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.
Answer:
The answer is 40.
Step-by-step explanation:
4x5 for the square part.
2x10 for the rectangle part
add them
