The graph third represents the provided situation first line increases and then constant then again increases and becomes constant.
<h3>What is a line graph?</h3>
A line graph is a graph made up of segments of straight lines that connect the depicted data points.
We have:
Keisha ran to swim practice but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes, and together they ran the rest of the way to practice, where they stayed for 1 hour.
Based on the information given we can say graph third represents the situation.
First Keisha ran to swim practice so the line first increases and then she but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes which means the line should be constant.
Again they both ran so line increases.
Then they both stayed for 1 hour, so the line should be constant.
Thus, the graph third represents the provided situation first line increases and then constant then again increases and becomes constant.
Learn more about the line chart here:
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a. The events are mutually exclusive, so
b. For the same reason,
Another way to see this is to use the result from part (a), and the inclusion/exclusion principle:
and the right side reduces to 0.
c. Same as (b),
d. Same as (b),
We can also use the distributivity rule for unions and intersections to write
e. If the 
is the complement of 
, then by DeMorgan's law,
Let the number of blue marbles be x
number of yellow marbles = x/3
number of green = x- 90
ATQ
x + x/3 + x - 90 = 694
2x + x/3 = 784
(6x + x)/3 = 784
7x/3 = 784
x = 784 x 3/7
x = 112 x 3
x = 336
number of blue marbles = 336
Answer:
b = 4
Step-by-step explanation:
3 - b = 6 - 7
3 - b = -1
-b = -1 -3
-b = -4
b = 4
