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DanielleElmas
1 month ago
5

Suppose that a person's birthday is a uniformly random choice from the 365 days of a year (leap years are ignored), and one pers

on's birthday is independent of the birthdays of other people. alex, betty and conlin are comparing birthdays. define these three events: a = {alex and betty have the same birthday} b = {betty and conlin have the same birthday} c = {conlin and alex have the same birthday} are these events independent ?
Mathematics
1 answer:
Inessa [12.5K]1 month ago
3 0
P ( A ∩ B ∩ C) = 1/365
P(A) = 1/365, P(B)= 1/365, P(C) = 365
For events A, B, and C to be independent, the equation P (A ∩ B ∩ C) = P (A) P(B) P(C) must hold true,
However, from the given probabilities,
1/365≠ 1/365 * 1/365 * 1/365
Therefore, it follows that events A, B, and C are not independent.

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Rent for a 3-bedroom apartment is regularly 936 per month. Apartment management is now offering one month free for 12- month lea
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Answer:

$858.

Detailed explanation:

The monthly rent for the 3-bedroom apartment is $936 under normal circumstances.

The landlord now provides one month free as part of a 12-month tenancy. Signing the lease means paying rent for only 11 months. Therefore, the total annual rent after applying this deal is:

\text{Rent of the apartment for 1 year after signing the lease}= 11\times 936

\text{Rent of the apartment for 1 year after signing the lease}= 10296

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\text{The new monthly amount}=\frac{10296}{12}

\text{The new monthly amount}=858

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41

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If S is the midpoint of RT, RS = 5x + 17, and ST = 8x - 31, find the value of x and the measure of RS.
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Response: 13x-14

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5x+17+8x-31

4 0
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A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?
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Step-by-step explanation:

The diameter of the wheel is 26 inches

as given

1 inch equals 25.4 millimeters

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An average person in the country needs 2,450 kilocalories / day of food to meet their full nutritional needs. The average number
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Area of land = 0.056 hectares

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The average kcal produced per hectare (ha) from the available food in the nation is 15,737,000 kcal/ha.

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