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kifflom [539]
3 years ago
15

If the median annual salary for 4 employees is $60,000, then which of the following must be true?

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
7 0

Answer:

A. 2 people earn $60,000 a year or less, and 2 people earn $60,000 a year or more.

Step-by-step explanation:

When a data set has an even number of values, the median is the average or mean of the two middle values. In this case, the median is $60,000. The two middle salaries could be equal (both could be exactly $60,000). This eliminates answer choice B. On the other hand, it is possible that none of the employees have a salary of exactly $60,000. (For example, salaries of $20,000, $40,000, $80,000, and $90,000 would give you a median of $60,000.) That example eliminates answer choices C and D. So, the answer must be A. In general, the median divides a data set into two groups: values that are less than or equal to the median value, and values that are greater than or equal to the median value.


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A bowl of buttons contains 10 MAGA [MAKE AMERICA GREAT AGAIN] buttons, 5 GND [GREEN NEW DEAL] buttons and 10 NAW [NEVER A WALL]
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Answer:

a) Probability of picking Two MAGA buttons without replacement = 0.15

b) Probability of picking a MAGA and GND button in that order = 0.0833

Probability of picking a MAGA and GND button in with the order unimportant = 0.167

Step-by-step explanation:

10 MAGA [MAKE AMERICA GREAT AGAIN] buttons, 5 GND [GREEN NEW DEAL] buttons and 10 NAW [NEVER A WALL] buttons.

Total number of buttons = 10 + 5 + 10 = 25

Let probability of picking a MAGA button be P(M) = 10/25 = 0.4

Probability of picking a GND button be P(G) = 5/25 = 0.2

Probability of picking a NAW button be P(N) = 10/25 = 0.4

a) Probability of picking Two MAGA buttons without replacement = (10/25) × (9/24) = 3/20 = 0.15

b) Probability of picking a MAGA and GND button in that order = (10/25) × (5/24) = 1/12 = 0.0833

Probability of picking a MAGA and GND button in with the order unimportant = [(10/25) × (5/24)] + [(5/25) × (10/24)] = 1/6 = 0.167

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