Write a simplified polynomial expression in standard form to represent the area of the rectangle below.
2 answers:
Answer:
The correct option is C.
Step-by-step explanation:
Given information: One side of the rectangle is (5x+2) and another sides of rectangle is (x-4).
The area of rectangle is
Substitute length = (5x+2) and width = (x-4) in the above formula, to find the simplified polynomial expression in standard form to represent the area of the rectangle.
Using distributive property,
On simplification we get
On combining like terms we get
Therefore the correct option is C.
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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.