Answer:
A. A straight line can be drawn through all the points and the line passes through the point (0,0) .
Step-by-step explanation:
See comment for options
Given
A graph with proportional relationship
Required
Which of options (a to d) describes the graph
A graph with a proportional relationship is represented as:
and
is a paired point on the graph
This implies that options (b) and (c) are not true
Option (d) is also incorrect because if the graph does not pass through all points, then it is not proportional.
<em>Hence, (a) is correct</em>
Answer:
0.1333 = 13.33% probability that bridge B was used.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Arrives home by 6 pm
Event B: Bridge B used.
Probability of arriving home by 6 pm:
75% of 1/3(Bridge A)
60% of 1/6(Bridge B)
80% of 1/2(Bridge C)
So

Probability of arriving home by 6 pm using Bridge B:
60% of 1/6. So

Find the probability that bridge B was used.

0.1333 = 13.33% probability that bridge B was used.
Answer:1 3/4 < 1 7/8
Showing the workThe least common denominator is 8Comparing 14/8 and 15/8:
14/8 < 15/8 ... ..... ... ....therefore1 3/4 < 1 7/8
Answer:
3rd choice
Step-by-step explanation:
Add 6 to both sides to get 5x >= 15, or x >=3. This is the 3rd choice.
Counting all of the lines, there is About 17