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.
470 = 8.75(46 - c) + 11c
470 = 402.5 - 8.75c + 11c
67.5 = 2.25c
30 = c
If c = 30 and Soren worked 30 hours in the office, earning $11 per hour, he earns $330 from his office job. 46 - 30 = 16, which should be the remaining amount of hours Soren worked. 16 * 8.75 = 140. He earned $140 from his cashier job. $330 + $140 = $470.
The correct formula to solve this problem is A. 11c + 8.75(46 - c) = 470
The maximum amount of supplies that the storage unit can hold is 28 ft³
<h3>How to calculate the volume of a rectangular prism?</h3>
For us to calculate the volume or amount of space in Evan's prism, we will first of all calculate the volume of rectangular prisms. Formula is;
V = Length × width × height.
We are given;
length = 4 feet
width = 3.5 feet
height of the prism = 2 feet.
Thus;
V = 4 * 3.5 * 2
V = 28 ft³
Thus, the maximum amount of supplies that the storage unit can hold is 28 ft³
Read more about Volume of Rectangular Prism at; brainly.com/question/4062480
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Its 100 because its not rounded to the nearest whole like 200 because its less than 50 so it would round down
Answer:
<h3>C. 800</h3>
Step-by-step explanation:
Given the equation used to calculate the amount of profit, p, made from selling n candy bars expressed as p = 1.50n – 500
To find the number of candies sold for $700, we are going to substitute p = $700 into the given expression and find n as shown;
700 = 1.50n - 500
Add 500 to both sides
700+500 = 1.50n-500+500
1200 = 1.50n
Divide both sides by 1.50
1200/1.50 = 1.50n/1.50
800 = n
Rearrange
n = 800
Hence 800 candy bars must be sold to make $700 profit
