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zhannawk [14.2K]
2 years ago
10

What is the probability that a group of five friends all have different birthdays? Show all of your work for full credit.

Mathematics
1 answer:
patriot [66]2 years ago
8 0

Answer: 0.98630136986

Step-by-step explanation:

There are 365 possible birthdays. The key to assigning the probability is to think in terms of complements: “Two (or more) people share a birthday” is the complement of “All people in the group have different birthdays.” Each probability is 1 minus the other. What is the probability that any two people have different birthdays? The first person could have any birthday (p = 365÷365 = 1), and the second person could then have any of the other 364 birthdays (p = 364÷365). Multiply those two and you have about 0.9973 as the probability that any two people have different birthdays, or 1−0.9973 = 0.0027 as the probability that they have the same birthday. If you have a group of five, it would mean your equation would have to be (p=360÷365)

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Evaluate each expression by (1) using the Distributive Property and (2) evaluating inside the parentheses first.
galina1969 [7]

Answer:

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2 years ago
Factor the binomial using its GCF: 10x-15x^4
Igoryamba

Answer:

5x(2 - 3x³)

Step-by-step explanation:

10x-15x^4

The GCF( Greatest Common Factor) of 10x-15x^4 is 5x

Solve:

10x/5x = 2

-15^4/5x = -3x³

Final answer is

5x(2 - 3x³)

                         <u>Check</u>

5x(2 - 3x³)

distribute

5x(2) + 5x(-3x³)

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3 years ago
Read 2 more answers
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3 0
2 years ago
write an equation in point-slope form for the line through the given point with the given slope (10,-9);m=-2​
fgiga [73]

Answer:

The answer is

<h2>y + 9 =  - 2(x - 10)</h2>

Step-by-step explanation:

To find the equation of a line given a point and slope we use the formula

<h3>y - y1 = m(x - x1)</h3>

where

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( x1 , y1) is the point

From the question

Slope / m = - 2

The point is ( 10, - 9)

Substitute the values into the above formula

That's the final answer is

<h3>y + 9 =  - 2(x - 10)</h3>

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dimulka [17.4K]
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Solve the second equation for y to get y = 11 - x, then plug that into the first equation and solve for x:

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6 0
3 years ago
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