Mariah fills 7 pillows with feathers. Each pillow weighs 3/4 pounds. What is the total weight of the 7 pillows?
1 answer:
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First we define the variables:
m = multiple choice questions
s = short answer questions
Next we need to satisfy 2 conditions:
1) There are a total of 40 questions. We can represent this mathematically using the variables I defined:
2) The multiple-choice questions are worth 2 points and the short-answer are worth 4 points but they need to total 100 points. This can also be represented mathematically:
By satisfying the conditions provided we were able to create the 2 equations!
Answer:
2,655 students
Step-by-step explanation:
The z-score for a 99% confidence interval is z = 2.576
The standard error for a proportion p is:
For a proportion of p =0.20, in order to ensure a standard error of 0.02, the sample size 'n' must be:
Rounding up to the next whole student, the sample size needed is 2,655 students.