\"three people who work full-time 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 one-half of his time and a second is budgeted for one-third her time, what portion of the third worker's time should be budgeted to this project? \":
solve the problem without using a calculator. show your solution.

Third person is budgeted for one-sixth of his time.

Step-by-step explanation:

Let x be the third worker's time that should be budgeted to this project.

It is given that three people who work full-time are to work together on a project.

First worker's time that should be budgeted =

Second worker's time that should be budgeted =

It is given that total time on the project is to be equivalent to that of only one person working full-time, i.e. 1.

Isolate the variable x.

Taking LCM, we get

The value of x is 1/6. Therefore the third person is budgeted for one-sixth of his time.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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