The domain of the relation of the graph representing a relation where x represents the independent variable and y represents the dependent variable is {−4, −2, 0, 3, 5}.
How to determine domain relation?The domain of a relation is the set of all possible input values (independent variable) for which the relation is defined.
Looking at the given points, the x-coordinates are -4, -2, 0, 3, and 5. So, the possible input values are -4, -2, 0, 3, and 5.
Therefore, the domain of the relation is {−4, −2, 0, 3, 5}.
Hence, the correct option is {−4, −2, 0, 3, 5}.
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A golf ball rolls at a speed of 8 m/s for 12 seconds. Mandy hits the golf ball and it rolls
for 16 seconds at a speed of 12 m/s. What is the total distance travelled by the golf ball?
Using the given information, the total distance travelled by the golf ball is 288 m
Calculating the total distance travelled by the golf ballFrom the question, we are to calculate the total distance travelled by the golf ball
The distance travelled by the golf ball can be calculated by using the formula,
Distance = Speed × Time
From the given information,
The golf ball rolls at a speed of 8 m/s for 12 seconds
Thus,
The distance travelled at this time is
Distance = 8 m/s × 12 s
Distance = 96 m
Also,
Mandy hits the golf ball and it rolls for 16 seconds at a speed of 12 m/s
The distance travelled at this time is
Distance = 12 m/s × 16 s
Distance = 192 m
The total distance travelled by the golf ball is 96 m + 192 m
=
Hence, the total distance travelled by the golf ball is 288 m
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URGENT HELP PLEASE!!!
In a class of students, the following data table summarizes how many students have a
a
cat or a dog. What is the probability that a student chosen randomly from the class
has a cat and a dog?
Answer: 5/13
Step-by-step explanation:
To solve this problem, we can use the formula for conditional probability:
P(A|B) = P(A and B) / P(B)
where P(A and B) is the probability of both events A and B happening, and P(B) is the probability of event B happening.
Let's first calculate the total number of people in the class:
Total number of people = 5 + 6 + 2 + 11 = 24
Now, let's calculate the probability of having a cat and a dog:
P(cat and dog) = 5 / 24
Next, let's calculate the probability of having a cat:
P(cat) = (5 + 6 + 2) / 24 = 13 / 24
Finally, let's calculate the probability of having no dog:
P(no dog) = (6 + 11) / 24 = 17 / 24
Using the formula for conditional probability, we can calculate the probability of having both a cat and a dog given that a person has a cat:
P(cat and dog | cat) = P(cat and dog) / P(cat) = (5 / 24) / (13 / 24) = 5 / 13
Therefore, the probability that a student chosen randomly from the class has a cat and a dog is 5/13.