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3 years ago

your drawer contains 6 black socks and 8 white socks. what is the probability that both socks are black

1 answer:

8 0

$\displaystyle |\Omega|=\binom{14}{2}=\dfrac{14!}{2!12!}=\dfrac{13\cdot14}{2}=91\\ |A|=\binom{6}{2}=\dfrac{6!}{2!4!}=\dfrac{5\cdot6}{2}=15\\\\ P(A)=\dfrac{15}{91}\approx16\%$

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Farmer bob's square plot ofland is slowly eroding away. Worried about the future of his farm. Farmer Bob measures the rate of er

kow [346]

Answer:

Option A.

Step-by-step explanation:

Area of a square is

$A=x^2$ .... (1)

where, x is side length.

The length of each side of his square plot is decreasing at the constant rate of 2 feet/year.

$\dfrac{dx}{dt}=2$

It is given that bob currently owns 250,000 square feet of land.

Fist find the length of each side.

$A=250000$

$x^2=250000$

Taking square root on both sides.

$x=500$

Differentiate with respect to t.

$\dfrac{dA}{dt}=2x\dfrac{dx}{dt}$

Substitute x=500 and $\frac{dx}{dt}=2$ in the above equation.

$\dfrac{dA}{dt}=2(500)(2)$

$\dfrac{dA}{dt}=2000$

Farmer bob is losing 2,000 square feet of land per year.

Therefore, the correct option is A.

7 0

3 years ago

Math questions down below

lbvjy [14]

= 5/3 x (-7/2)
= -35/6
= -5 5/6

answer A.
-5 5/6

3 0

4 years ago

Read 2 more answers

Cameron read

Brut [27]

That doesn’t make any sense to me sorry

4 0

3 years ago

Identify a pattern in the given list of numbers. Then use this pattern to find the next number. 17,7,-3,-13,-23

notka56 [123]

Answer:

-33

Step-by-step explanation:

The sequence is descending so the nth term would be -10n and the 0 term would be 27 so the nth term for the sequence would be -10n +27.

The question asks you to find the 6th term so (-10 x 6) + 27 = -60 + 27 = -33

4 0

2 years ago

A wood board 156 centimeters long is cut into three parts. The two longer parts are the same length and are 15 centimeters longe

Andrei [34K]

The three parts are a -141

7 0

3 years ago