Can someone help me answer this Fraction word problem and give step by step how to give the answer?There are 3 people who work full time and are to work together on a project, but their total time on the project is to be equivalent to that of only one person working full time. if one of the people is budgeted for 1/2 of his time to the project and a second person for 1/3 of her time, what part of the third worker's time should be budgeted to this project?
Answers
This problem shows that the fraction of the time worked by three individuals need to be = to one person working full time.
It just means that the fractions need to add up to one. Since we got to know that one person works 1/2 the time on the project and the other works 1/3 of the time, let us use a variable to represent the amount of time the last person needs to work to have a total of 1.
This is quite easy:
variable = t(representative of the last person)
step 1: 1=1/2+1/3+t
step 2: keep the variable alone at one side
1-1/2-1/3=t
this step on a calculator will be easy, but dont have a calculator? Thats fine!
Lets have a common denominator
2 and 3 can be 6
1/1*(6/6)-1/2*(3/3)-1/3*(2/2)=t
6/6-3/6-2/6=t
step 3: just subtracts and get the answer
1/6=t
In conclusion, the third person must be working 1/6 the time on the project
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A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average is $150.00 with a standard deviation of $30.20. The manager collects 40 random receipts and finds that the average is $160. Complete a hypothesis test with a significance level of 2.5% to determine if the average customer spends more in his store than the national average. Which of the following is a valid conclusion for the manager based on this test?a.The customers spend more than the national average in his store.b.The manager should decrease prices in his store.c.The customers do not spend more than the national average in his store.d.The customers in his store just come from a rich neighborhood.
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One gallon of fuel mixture contains antifreeze in the ratio of 5 parts fuel to one part antifreeze. To this is added half a gallon of mixture which is one third antifreeze and two thirds fuel. What is the ratio of fuel to antifreeze in the final mixture?
Answers
A. 72
B. 8
C. 2
D. 288
Answers
24 yards=
24 yards=24 times yards=24 times (3feet)=24 times 3 times feet=72 times feet
72 feet is the answer
Answers
21+30=51
10+10+10=30
30+21=51
Answers
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
Yes, it is a valid inference because he asked all 27 students in his art class
Yes, it is a valid inference because his classmates make up a random sample of the students in the school
Question 2 (Multiple Choice Worth 5 points)
(08.01)Carl takes a random sample of 100 students in his school and finds that 72% of the sample prefers pizza over burgers. There are 1,500 students in the school. Based on the sample proportion, how many students in the school would be expected to prefer pizza over burgers?
72
100
1,080
1,500
Answers
No, it is not a valid inference because he asked all 27 students in his art class instead of taking a sample from the school
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
Yes, it is a valid inference because he asked all 27 students in his art class
Yes, it is a valid inference because his classmates make up a random sample of the students in the school
Answer = The correct answer is B because Marlow was supposed to ask random kids and they were not suppose to be in his class.
Part 2 : Carl takes a random sample of 100 students in his school and finds that 72% of the sample prefers pizza over burgers. There are 1,500 students in the school. Based on the sample proportion, how many students in the school would be expected to prefer pizza over burgers?
72
100
1,080
1,500
1500 / 100×72= 1080
No, it is not a valid inference because he asked all 27 students in his art class instead of taking a sample from the school.
Answers
If your asking how much the total would be...
39$*1.15=44.85$