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aniked [119]
2 years ago
6

There are 12 of the zodiac. how many people are needed to guarantee that at least six of these people have the same sign? your a

nswer must be one integer.
SAT
1 answer:
ElenaW [278]2 years ago
6 0

Answer:es, the answer is 61. This is related to a mathematical principle called the Pigeonhole Principle, which states that if you are trying to sort  n+1  objects into k sets (where nk=r;n,k,r∈Z+), at least one set must contain at least r+1 objects. (This can be proven by proof by contradiction, but is pretty standard and so generally can just be used as justification of an answer by itself.)

For your problem, you have 12 signs of the zodiac - these are your 12 sets (so k=12). You are looking to find how many it takes before a set contains 6 objects (so r+1=6 and thus r=5). Therefore, n+1=r×k+1=12×5+1=61.

Explanation:

You might be interested in
Amanda travels to work from home in 60
vodomira [7]

Answer:

50 minutes

Explanation:

We can set this up as a rate * time = distance problem. We can set the rate at which Amanda travels to work to be x, since that quantity is unknown. The time it takes is given to be 60 minutes. This means that the total distance she travels to get to work is 60x. On the other hand, the way back home has more unknown quantities. The exact rate is unknown, but we do know that it is 20% more than the rate at which Amanda travels to work. This means that the rate is x + .20x, or 1.2x. We can set the time to be y, which means the total distance she travels to get back home is 1.2xy. We are told that Amanda uses the same route to get to and from work, which means 60x = 1.2xy. All we have to do now is solve this equation:

60x=1.2xy\\60=1.2y\\y=50

If we divide through by x and then isolate y, we get that it takes Amanda 50 minutes to get home

4 0
1 year ago
in a distribution where the mean is to the right of the median, the histogram of the distribution will probably
Citrus2011 [14]

Answer:

Skew right

Explanation:

In any data set where the mean is to the right of the median, that means the data skews right. You can use the saying "the mean follows the skew" to apply this to other distributions.

5 0
3 years ago
when disinfecting pedicure equipment that holds water, once each week, the basin must be filled with a solution of water contain
svetlana [45]

In disinfecting pedicure equipment that holds water, once each week, the basin must be filled with a solution of water containing four cups of bleach for each gallon of water.

The statement is false.

A pedicure is a thorough foot treatment that is appropriate for both men and women. It entails grooming your cuticles, trimming, cutting, and shaping your toenails, exfoliating, moisturising, and massaging your feet, and, if preferred, painting your toenails.

Disinfecting pedicure is  a process that is frequently carried out once every week, and it is finished just before the necessary end-of-day cleaning procedures are finished.

In this instance, the basin must be filled with a solution of water that, according to reports, contains around one teaspoon of 5.25% bleach for every gallon of water.

Therefore, the assertion that the basin must be filled with a solution of water containing four cups of bleach for every gallon of water in order to disinfect pedicure equipment that contains water once per week is untrue.

The complete question is

In disinfecting pedicure equipment that holds water, once each week, the basin must be filled with a solution of water containing four cups of bleach for each gallon of water.

Select True or False.

Learn more about pedicure equipment from

brainly.com/question/28244537

#SPJ4

4 0
1 year ago
Please select the word from the list that best fits the definition Identifying vocabulary definitions
alex41 [277]

Answer: Read / C

Explanation:

6 0
2 years ago
In a recent survey, 1358 arizona state university students were asked about their plans after graduation. The following results
lisov135 [29]

The answers to the given questions on the survey of students by the use of a Venn Diagram are;

A) Venn diagram attached

B) 57 Students

C) 811 Students

D) 785 Students

E) 67 Students

<h3>Understanding Venn Diagrams</h3>

We are given;

  • Total number of Students = 1358
  • Number of Students that plan to get a new job = 1194
  • Number of Students that plan to attend graduate school = 306
  • Number of Students that plan to buy a new car = 547
  • Number of Students that plan to do all three things = 46
  • Number of Students that plan to only attend graduate school = 28
  • Number of Students that plan to get a job and buy a new car, but not attend graduate school = 432
  • Number of Students that plan to get a new job and attend graduate school = 221

A) I have drawn a Venn Diagram to depict this given numbers of students and I have attached it.

B) From the venn diagram, we can see that the number of people that plan to attend graduate school and buy a new car, but not get a new job = 57

C) From the Venn diagram, we can calculate the number of students that do not plan to buy a new car is;

541 + 175 + 28 + 67 = 811

D) From the venn diagram, we can calculate the number of students plan to get a new job or buy a new car as;

541 + 175 + 12 + 57 = 785

E) From the venn diagram, we can see that the number of students that do not plan to get a new job, attend graduate school, nor buy a new car is; 67

The complete part of the question is;

A) Draw a Venn diagram that represents the situation consisting of 2. cardinalities.

B) How many people plan to attend graduate school and buy a new car, but not get a new job?

C) How many students do not plan a buy a new car?

D) How many students plan to get a new job or buy a new car?

E) How many students do not plan to get a new job, attend graduate school, nor buy a new car?

Read more about Venn Diagrams at; brainly.com/question/2099071

6 0
2 years ago
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