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lys-0071 [83]
3 years ago
5

Your drawer contains 10 red socks and 7 blue socks. You pick 3 socks without replacement. What's the probability that at least t

wo socks will be different colors?
Mathematics
1 answer:
slamgirl [31]3 years ago
3 0

Answer:

105/136 ≈ 0.772

Step-by-step explanation:

There are 3 socks and 2 colors, so they are either all the same color or 2 will be different colors.

P(different colors)

= 1 − P(same color)

= 1 − ₁₀C₃/₁₇C₃ − ₇C₃/₁₇C₃

= 1 − 120/680 − 35/680

= 1 − 155/680

= 1 − 31/136

= 105/136

≈ 0.772

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F(1)=-12, f(n)=2f(n-1) <br> find first 4 terms
amid [387]
<h3>First four terms are:   -12, -24, -48, -96</h3>

============================================

Explanation:

The notation f(1) = -12 tells us that the first term is -12.

The equation f(n) = 2*f(n-1) indicates that we're multiplying the (n-1)th term by 2 to get the nth term. Basically we multiply each term by 2 to get the next term.

-12*2 = -24

-24*2 = -48

-48*2 = -96

So the first four terms are -12, -24, -48, -96.

-----------------------------------

Alternative Approach

f(1) = -12 .... first term

f(n) = 2*f(n-1) ... nth term recursive formula

f(2) = 2*f(2-1) ... plug in n = 2

f(2) = 2*f(1)

f(2) = 2*(-12) ... plug in f(1) = -12

f(2) = -24 ... second term

f(n) = 2*f(n-1) .... resetting for the next computation

f(3) = 2*f(3-1) ... plug in n = 3

f(3) = 2*f(2)

f(3) = 2*(-24)  ... plug in f(2) = -24

f(3) = -48 .... third term

f(n) = 2*f(n-1) ... one more reset

f(4) = 2*f(4-1) .... plug in n = 4

f(4) = 2*f(3)

f(4) = 2*(-48) ... plug in f(3) = -48

f(4) = -96 ... fourth term

We get the first four terms to be -12, -24, -48, -96, which was the same as earlier.

4 0
2 years ago
Simplify the expression (1/5k)^2
sesenic [268]

Answer:

k^2 ÷ 5^2

Step-by-step explanation:

1

— <<Simplify

5

6 0
3 years ago
If a=-4h^2-h+5 and b=8h-3h+12 find a-b
Flauer [41]

Answer:

4h^2-6h-7

Step-by-step explanation:

(4h^{2} -h+5) - (8h-3h+12)\\4h^{2} -h+5 - 8h+3h-12\\4h^{2}-9h+3h-7\\4h^{2}-6h-7\\

4 0
3 years ago
Can someone check these answers for me
Salsk061 [2.6K]
Hun, these questions look opinionated. They are asking what all you can do and what you need help with.
5 0
3 years ago
Gina has 72$ in $1 bills, 5$ bills, and 20$ bills. If she has three times as many 1$ bills as she has 5$ bills, and only half as
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She has:
2- $20
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