Answer:
x= 1, 4
Step-by-step explanation:
1. Let the sample space represent all the values from 1 to 10. Let A = {1, 2, 8} and B = {2, 7}. What is the P(A ∩ B)?
2 answers:
A B denotes to all common elements in both A and B
- Sample space=S={1,2,3,4,5,6,7,8,9,10}
So
- A={1,2,8}
- B={2,7}
2 is common
Hence
A $\cap$ B={2}
Answer:
P(A ∩ B) = 1/10
Step-by-step explanation:
Given:
- Sample space (S) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
- A = {1, 2, 8}
- B = {2, 7}
We can represent this information in a Venn diagram (see attachment 1).
As there are 10 equally likely outcomes (which must add up to 1), the probability of each outcome is 1/10.
Therefore, we can redraw the Venn diagram with the probabilities instead of the values (see attachment 2).
P(A ∩ B) means the probability of events A and B happening together, so it is the section of the diagram where events A and B overlap.
Therefore, P(A ∩ B) = 1/10
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Answer:
The explicit function is:
And the number of lights after 33 weeks will be 252.
Step-by-step explanation:
Given that:
Total street lights = 153
Let x be the number of weeks
Then the number lights after x weeks will be 3x
This is a linear function where the y-intercept is 153 and slope is 3.
It can be written as: y = mx+b
The function is:
Putting the values for x will give us the number of total lights after that number of weeks.
To find, how many street lights were there at the end of 33rd week,
Putting x = 33
Hence.
The explicit function is:
And the number of lights after 33 weeks will be 252.