There are twelve signs of the zodiac. How many people must be present for there to be at least a 50% chance that two or more of them were born under the same sign

Answers

Answer 1
Answer:

Answer:

5

Step-by-step explanation:

Given that each zodiac sign occupies 1/12 of a year.

Then the minimum number of persons for Y[all different signs] < 0.5,

The probability of at least two having the same sign is 1 minus the probability of all having different signs.

This can be represented as A [at least 2 person share the same sign] = 1 - Y[all different signs] must be > 0.5

Therefore we have 1 - 12/12 *11/12 * 10/12 *9/12 *8/12 = 0.38

This implies that the lowest number will be found to be 5

Hence, the correct answer is 5.

Answer 2
Answer:

Final answer:

To have at least a 50% chance that two or more people share the same Zodiac sign, there must be 13 people. This is based on the Pigeonhole Principle in probability theory.

Explanation:

This question is related to the field of probability theory. It can be solved using the principle of the Pigeonhole Principle, which states that if there are more items than containers, at least one container must hold more than one item.

Let's visualize each Zodiac sign as a container. If we have 12 people (items), each one can occupy a different Zodiac sign (container), without any sign repeating. Therefore, the probability of two people sharing a zodiac sign would be less than 50% at this point.

However, once we introduce the 13th person, regardless of their Zodiac sign, they would have to 'share' a container (be born under a sign that at least one other person was born under) since there are only 12 Zodiac signs. Therefore, for there to be a 50% chance that two or more people share a Zodiac sign, there would need to be 13 people.

Learn more about Pigeonhole Principle here:

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HELP I WILL GIVE BRAINLEYEST Yesterday, between noon and midnight, the temperature decreased by 26.7°F. If the temperature was -14.4°F at midnight, what was it at noon?

Answers

Answer:

im pretty sure it is 41.1

Step-by-step explanation:

• Which factors do 3 and 9 have in common? Choose ALL that apply.1
2
3
4
5
6
7
8
9
10

Answers

Answer:

3 and 9 both have factors 1 and 3 in common.

Explanation:

A factor is a number that divides into another number exactly and without leaving a remainder. For instance, factors of 15 are 3 and 5, because 3×5 = 15. Some numbers have more than one factorization (more than one way of being factored). For example, 12 can be factored as 1×12, 2×6, or 3×4.

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3 and 9 are the only ones that are in common for both 3 and 9

Here is a figure that looks like the letter A, along with several other figures. Which figures are scaled copies of the original A? Explain how you know.Answer here

Answers

The figures that are scaled copies of the original figure A include the following: B. 2 and 4.

What is dilation?

A dilation is a type of transformation that is used for altering the dimensions of a geometric figure, but not its shape.

In Mathematics, the following rules are applied to interpret and understand the dilation of a geometric figure:

  • A geometric figure is enlarged when the scale factor is greater than 1.
  • A geometric figure remains the same when the scale factor is equal to 1.
  • A geometric figure is reduced when the scale factor is less than 1.

In this context, we can logically deduce that the scaled copies of the original figure A are figure 2 and figure 4 because dilation preserves angle measures and the direction that the shape faces.

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Complete Question:

Here is a figure that looks like the letter A, along with several other figures. Which figures are scaled copies of the original A?

2 and 3

2 and 4

1 and 4

1 and 3

Answer:

i think 2 and 4

Step-by-step explanation:

There are several different types of charts and graphs. Each type of chart and graph has required elements. What required elements should be present on a bar chart for it to be complete and accurate? A. An appropriate title
B. The horizontal axis should be labeled
C.The vertical axis should be labeled
D.All of the above
E.None of the above.

Answers

The correct answer is D. All of the above

Explanation:

A bar chart is a type of graph that presents information by using bars; these bars show the relationship between two factors or variables presented in the Y or vertical axis and the X or horizontal axis. For example, you might present the time 5 students spend doing homework by including the hours on the Y-axis and the name of each student on the X-axis.

In this context, for the reader to understand the information presented in the graph it is essential that each of the axes is labeled, in this way the reader will know which variables or factors are represented. Also, in most cases, you will an appropriate title that introduces the general situation that is presented. Thus, for a bar chart to be accurate you will need all of the above.

On a can of sardines it is written that the can contains 10 sardines. You open up 100 cans and find the average is 9.75 sardines with a standard deviation of 1. What is the test statistic in a test of the null hypothesis that the population average is 10? Can you reject the null at the 5% significance level?

Answers

Answer:

The test statistic is -2.5

Yes, I can reject the null hypothesis at 5% significance level.

Step-by-step explanation:

Null hypothesis: The average number of sardines in a can is 9.75

Alternate hypothesis: The average number of sardines in a can is greater than 9.75

Test statistic (z) = (sample mean - population mean) ÷ sd/√n

sample mean = 9.75

population mean = 10

sd = 1

n = 100

z = (9.75 - 10) ÷ 1/√100 = -0.25 ÷ 0.1 = -2.5

The test is a one-tailed test. At 5% significance level, the critical value is 1.645

Conclusion:

Reject the null hypothesis because the test statistic -2.5 is less than the critical value 1.645

Determine if 0.84375 is rational or irrational and give a reason for your answer.Reasons Below

Answers

Answer: Rational because it is a decimal that terminates.

Step-by-step explanation:

A rational number can be expressed as a ratio/ fraction of two integers so there are several methods of knowing if a number is rational or irrational.

One such way is if it is a decimal that terminates. A terminating decimal is one that has a set amount of numbers after the decimal and hence does not continue forever. This number is rational because it can be expressed as a fraction.

0.84375 in fraction form would be, 84,375/100,000.