Answer:
a) The expected number of smokers in a random sample of 140 students from this university is 16.8 smokers.
b) No, it is unlikely that smoking habits and waking up early to go to the gym on Saturday are independent.
Step-by-step explanation:
To calculate the expected numbers of smokers in a sample with size n=140 and proportion p=12%, we use the expected value of the binomial distribution:
The expected number of smokers in a random sample of 140 students from this university is 16.8 smokers.
If we take a sample at the opening of the gym, the sample is not expected to be representative of the population of the students. Most of the students that go to the gym usually have healthy habits, so the proportions of smokers is expected to be lower than the average of the university population.
Example question: There are 38 students in a baseball club. The coach needs to split them up into equal groups of 4. How many groups can be made? How many kids are left over?
Answer: You would make groups of 4 to get your quotient (9). Then whatever is NOT in a group is your left over.
Answer:
Rule:
Step-by-step explanation:
<em>I will answer generally, since the coordinates of f, g and h are not given</em>
Given
Point: x, y
Translation Rule
1 : x + 3, y - 1
2: 90 degree counterclockwise
Required
Determine the new coordinates
<u>At the first translation of (x,y) by x + 3, y - 1</u>
The new point is: 
<u>At the second translation (90 degrees counterclockwise)</u>
When a point (x,y) is translated using this rule, it becomes (-y,x)
So, the new point is:
If the initial point of h is (2,3),
The new point is:
Hello,
Find the equation of the axis of symmetry is like find the maximum or minimum point of this function.
The equation of the axis of symmetry is then :
Coordinates of vertex :
