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3 years ago

Consider two people being randomly selected. (For simplicity, ignore leap years.)

Mathematics

1 answer:

Setler79 [48]3 years ago

8 0

Answer:

A)144/133225

B)1/365

Step-by-step explanation:

A) We want to find the probability that two people have a birthday on the 18th of any month.

If we Neglect leap year like the question says, it means that there are 365 days in a year.

Now, we have 12 possible number of 18th day in all months that make a calendar year.

Thus;

If two people have birthday on 18th, the probability that the two of them will have birthday on the 18th of any month is;

P(both to have birthday on the 18th of any month) = (12/365) × (12/365) = 144/133225

B) We want to find the probability that two people have a birthday on the same day of the same month. This can be written as;

P(2 people have a birthday on the same day of the same month) + P(2 people do not having birthday on same day of same month) = 1

Probability of 2 people not having birthday on same day of same month = 365/365 × 364/365 = 364/365

P(2 people have a birthday on the same day of the same month) = 1 - (364/365) = 1/365

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7. Marco is making beaded bracelets. Each

stiks02 [169]

One way to find the least common multiple of two numbers is to first list the prime factors of each number.

8 = 2 x 2 x 2

Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

2: three occurrences

3: one occurrence

So, our LCM should be

2 x 2 x 2 x 3 = 24.

So, Marco can buy, at the very least, 24 beads of each color to have equal colors of beads.

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3 years ago

Factor p^4-81 completely showing all work.

3241004551 [841]

Answer:

Step-by-step explanation:

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3 years ago

How many cakes can you make having 3 2/3 cups of flour,if for one cake you need 1/3 cup of flour?

shutvik [7]

Answer:

11 cakes

Step-by-step explanation:

so you know each cup can make 3 cakes so multiply that by 3 then add 2(from the 2/3 cups)

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3 years ago

Read 2 more answers

Paula has 6 video games. Myles has 1 more video game than paula. Which could you use to find how many video games in all.

IrinaVladis [17]

Paula = 6 video games

Myles = 1 video game + Paula(6 video games)

P + M = Total video games

M = 1 + P

P = 6

P + M = 6 + 1 = 7

4 0

3 years ago

A bacteria culture grows with constant relative growth rate. The bacteria count was 1,920 after 4 hours and 1,966,080 after 12 h

attashe74 [19]

From the calculation, the growth rate is 0.88.

<h3>What is the growth rate?</h3>

To find the relative growth rate

P1 = Poe^rt

P2 = Poe^rt

Thus;

1920 = Poe^4r ------ (1)

1966080 =Poe^12r -------(2)

P2/P1 gives;

1966080/1920 = Poe^12r/Poe^4r

1024 = e^12r/e^4r

1024 =e^8r

1024 = (e^r)^8

2^10 = (e^r)^8

e^r = 2^1.25

e^r = 2.38

r = ln(2.38)

r = 0.88

The initial size of the culture is;

1920 = Poe^(0.88 * 4)

Po = 1920/e^(0.88 * 4)

Po = 57

The expression for the exact number of bacteria after t hours is

P(t) = 57e^0.08t

The growth (in bacteria per hour) after 9.5 hours is

P(t) = 57e^(0.88 * 9.5)

P(t) = 243544

For the number to reach 72,000;

72,000 = 57e^0.88t

72,000/57 = e^0.88t

ln 126 = ln[e^0.88t]

4.8 = 0.88t

t = 4.8/0.88

t = 5.5 hours

Learn more about exponential growth;brainly.com/question/13674608

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8 0

2 years ago