Answer: A − 9/7
Step-by-step explanation:
Hi, to answer this question we have to convert all the numbers into decimal form.
-3 1/3 = - (3x3+1)/3 =-10/3 = - 3.3334
-4/5 = -0.8
Since he number must greater than −3 1/3 but less than − 4/5.
−3 1/3 < x < − 4/5.
- 3.3334 < x < -0.8
The correct option is A = -9/7 , because in decimal form is equal to -1.28-
- 3.3334 < -1.28 < -0.8
Answer:
3 dogs and 2 cats.
Step-by-step explanation:
In this case we can solve it using a 2x2 system of equations, like this:
let x: number of cats
let y: number of dogs
So:
42.5 * x + 64 * y = 277
35.5 * x + 50.5 * y = 222.5 => x = (222.5 - 50.5 * y) /35.5
Replacing, we are left with that:
42.5 * (222.5 - 50.5 * y) /35.5 + 64 * y = 277
266.37- 60.45 * y + 64 * y = 277
64 * y - 60.45 * y = 277 - 266.37
3.55 * y = 10.63
y = 10.63 / 3.55
y = 2.99, about 3
Now to calculate x:
x = (222.5 - 50.5 * 3) /35.5
x = 2
Which means that it has a total of 3 dogs and 2 cats.
Answer:
15000
Step-by-step explanation:
Given that a professor wants to know how undergraduate students at X University feel about food services on campus, in general. She obtains a list of email addresses of all 15,000 registered undergraduates from the registrar’s office and mails a questionnaire to 300 students selected at random.
Only 150 questionnaires are returned.
So the sample size changed to 150. But population is the number of registered undergraduates which do not change.
Population size = 15000
When dealing with percentages it is often much easier to convert it to a decimal (mostly because a lot of people are uncomfortable working with fractions) but in this case, I suggest dividing 1 into 5 [hint hint fractions are just glorified division in the long run] and after you have done that multiply by 100. This will get you your answer.
