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VashaNatasha [74]
3 years ago
8

Help me asap (please please)

Mathematics
1 answer:
CaHeK987 [17]3 years ago
4 0
Area of a circle = pi*r^2.

Here, A = 380.13 mi.  Unfortunately, "mi" is NOT a unit of area.

So I will assume that the problem should read   A = 380.13 sq. miles.
                                                                    380.12 mi^2
Thus,   380.13 mi^2 = 3.14*r^2, and r^2 = ------------------- 121.057 mi^2
                                                                           3.14

The radius is the sqrt of 121.057 mi^2:  11.00 miles.

The diam. is twice that, or d = 22.00 miles.



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A coin, having probability p of landing heads, is continually flipped until at least one head and one tail have been flipped. (a
Natali [406]

Answer:

(a)

The probability that you stop at the fifth flip would be

                                   p^4 (1-p)  + (1-p)^4 p

(b)

The expected numbers of flips needed would be

\sum\limits_{n=1}^{\infty} n p(1-p)^{n-1}  = 1/p

Therefore, suppose that  p = 0.5, then the expected number of flips needed would be 1/0.5  = 2.

Step-by-step explanation:

(a)

Case 1

Imagine that you throw your coin and you get only heads, then you would stop when you get the first tail. So the probability that you stop at the fifth flip would be

p^4 (1-p)

Case 2

Imagine that you throw your coin and you get only tails, then you would stop when you get the first head. So the probability that you stop at the fifth flip would be

(1-p)^4p

Therefore the probability that you stop at the fifth flip would be

                                    p^4 (1-p)  + (1-p)^4 p

(b)

The expected numbers of flips needed would be

\sum\limits_{n=1}^{\infty} n p(1-p)^{n-1}  = 1/p

Therefore, suppose that  p = 0.5, then the expected number of flips needed would be 1/0.5  = 2.

7 0
3 years ago
There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the
expeople1 [14]

The probability that one of each color is selected is \frac{10x - x^2}{45}

<h3>Probabilities</h3>

The probability of an event is the chances of the said event

The given parameters are:

  • Total  = 10
  • Red = x
  • Blue = 10 - x

<h3>Calculating the required probability</h3>

The probability that one of each color is selected is calculated as follows:

P = P(Blue) \times P(Red) + P(Red) \times P(Blue)

So, we have:

P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}

This gives

P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}

Take LCM

P = \frac{2x(10 - x)}{90}

Simplify the above expression

P = \frac{x(10 - x)}{45}

Expand

P = \frac{10x - x^2}{45}

Hence, the probability that one of each color is selected is P = \frac{10x - x^2}{45}

Read more about probabilities at:

brainly.com/question/7965468

4 0
3 years ago
Lpkolkkpokpojpjlpjkopjpojopopjopjoljpljopp
aivan3 [116]
What is this caption
6 0
3 years ago
Making $40 payments each Friday,
Marianna [84]
$89$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
8 0
3 years ago
Once again due 11:59 pls help
vovikov84 [41]

Answer:

In the equation, it divides 21 by x before knowing what x is, and gets it incorrect. Instead, you need to divide 21 by -4.2.

Step-by-step explanation:

-4.2x = 21

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

    -4.2

   

x = -5

8 0
3 years ago
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