1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Black_prince [1.1K]
3 years ago
9

Julie, a police officer, has the following work pattern. She works 3 days, has 4 days off, then works 4 days, then has 3 days of

f, and then the pattern repeats. Assume that today is the first day of the work pattern. Answer the following questions showing the computations that support your answer. a. Will Julie be working 30 days from today? b. Julie's niece is getting married 45 days from today. Will Julie have the day off?
Mathematics
2 answers:
zalisa [80]3 years ago
8 0

Answer:

See below.

Step-by-step explanation:

For each day number, Y means working, and N means off

Day

1   Y

2   Y

3   Y

4   N

5   N

6   N

7   N

8   Y

9   Y

10   Y

11   Y

12   N

13   N

14   N

15   Y

16   Y

17   Y

18   N

19   N

20   N

21   N

22   Y

23   Y

24   Y

25   Y

26   N

27   N

28   N

29   Y

30   Y

31   Y

32   N

33   N

34   N

35   N

36   Y

37   Y

38   Y

39   Y

40   N

41   N

42   N

43   Y

44   Y

45   Y

46   N

a. Today is day 1. 30 days from today is day 31.

She works on day 31, so she does work 30 days from today.

b. 45 days from today is day 46. She is off on day 46, so she will be off 45 days from today.

Lelu [443]3 years ago
6 0

Answer:

a)  Yes, she would have day off, 30 days from today Julie will be off work and have a day free as that day would be day 30 and day one stays inclusive, the day after also proves day 31 is a day off as it shows week 4 last day off being day 31 and day 30 is also day off week 4.

As 7 x 4 = 28 and she is back at work day 29 and day 30 she is free and not at work, her 5th pattern for that month and it goes back to 3 days week five.

b) Yes, Julie would have day off on day 45.

As 7,14,21,28,35,42,49 are 6 weeks but dates show and prove below. As 45 is the first day off in week 7 as we prove 4 days off in that week.

Step-by-step explanation:

As days work like this

Wk 1  3 days on 4 days off = day 1 - 7  = 7 days

Wk 2  4 days on 3 days off =  8 - 15  = 7 days

Wk 3  3 days on 4 days =  16 - 23  = 7 days

Wk 4  4 days on 3 days off = 24 - 31 = 7 days

Wk 5  3 days on 4 days off = day 32 -39 = 7 days

Wk 6  4 days on 3 days off = day 40 - 44 at work and 45-47 is not at work = 7 days Which means 45 she is off work.

Wk 7   3 days on 4 days off = day  48, 49, 50  then day 51-54 she is scheduled to not work.

If we take day 51 day off and minus 4 days off

51-4 = 47 and she had 3 days off from 45-47 to match this which would include day 45.

You might be interested in
If f(x) = x ^ 2 + 3 , then f(x+y)=?
kobusy [5.1K]

Answer:

f(x)=x^2+3

f(x+y)=(x+y)^2+3

this is done by replacing x with (x+y)

f(x+y)=x^2+2xy+y^2+3

therefore : f(x+y)= x^2+y^2+2xy+3

5 0
3 years ago
Paul bought a package of 6 spiral notebooks for a total cost of $13.50. which equation represents p
baherus [9]

Answer: Each notebook costs $2.25. (6p = $13.50)

Step-by-step explanation:

You simply have to divide $13.50 by 6 to get the quotient of $2.25. $2.25 indicates the unit rate between the two.

8 0
3 years ago
Why have I been blocked?
Ivanshal [37]
I’m not sure blocked from what
8 0
3 years ago
Cell phone company charges$50 for an 800-minute monthly plan, plus an additional $0.22 per minute for every minute over 800. if
pentagon [3]
The most used minutes in a moth is 1013.
3 0
3 years ago
Assume the upper arm length of males over 20 years old in the United States is approximately Normal with mean 39.2 centimeters (
MAVERICK [17]

Answer:

The interval [32.6 cm, 45.8 cm]

Step-by-step explanation:

According with the <em>68–95–99.7 rule for the Normal distribution:</em>  If \large \bar x  is the mean of the distribution and s the standard deviation, around 68% of the data must fall in the interval

\large [\bar x - s, \bar x +s]

around 95% of the data must fall in the interval

\large [\bar x -2s, \bar x +2s] 

around 99.7% of the data must fall in the interval

\large [\bar x -3s, \bar x +3s]

So, the range of lengths that covers almost all the data (99.7%) is the interval

[39.2 - 3*2.2, 39.2 + 3*2.2] = [32.6, 45.8]

<em>This means that if we measure the upper arm length of a male over 20 years old in the United States, the probability that the length is between 32.6 cm and 45.8 cm is 99.7%</em>

3 0
3 years ago
Other questions:
  • HELP PLEASE I’LL MARK YOU BRAINLIEST IF YOU GET IT RIGHT
    8·1 answer
  • Which mathematician won the novel prize for literature?
    12·2 answers
  • Solve for x: −4|x + 5| = −16
    12·1 answer
  • Four years after opening an account that paid simple interest of 4.25% annually, a depositor withdrew the $2,380 in interest ear
    9·1 answer
  • PLS HELP MEEE!!! Susan earned 3,528 frequent flyer miles last year. In January she earned 526 more. In order to fly to Spain for
    13·1 answer
  • Find the area of a triangle with a base length of 6 units and a height of 7 units. (1 point) 10 units 13 units 14 units 21 units
    11·2 answers
  • A meteorite is a solid piece of debris from an asteroid or comet that traveled from outer space to reach Earth's surface. There,
    7·2 answers
  • In a survey of 420 people, 85% said they drink coffee. 1/3 of the people said they drink their coffee black. How many of the sur
    8·2 answers
  • A. Headphone World<br> B. Best Buy<br> C. Target<br> D. Not enough information to tell
    13·2 answers
  • Dallas was told to run around the perimeter of the high
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!