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Anit [1.1K]
3 years ago
12

A fair coin is tossed repeatedly. What is the probability that three heads in a row will occur before a tail followed by two hea

ds?
Mathematics
1 answer:
Masteriza [31]3 years ago
3 0

The probability that you can get N heads in a row would be:

Let <span>p</span> be the probability of flipping a heads. Let <span>x</span> be number of flips needed to achieve <span>h </span>consecutive heads. The solution is <span><span>E(x) = (<span><span>1−<span>p^h) / (</span></span><span><span>p^h</span>(1−p))</span></span></span></span>

This expression may be derived as follows. The probability of being successful immediately is <span><span>p^r.</span></span> However, one might get a tails immediately. In that case, the number of flips needed is <span><span>1+E(x) </span></span>(one flip has been used and we are back to the original position). We might get a heads and then a tails. In this case two flips have been used and we are back to the original position. Continue this up to <span><span>h−1</span></span> heads followed by a tails in which case <span>h</span> flips have been used and we are back to the original position.

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If f(x) = x^2 - x, what is f(-3)?
myrzilka [38]
F(-3) = (-3)^2 - (-3) = 9 - (-3) = 9 + 3 = 12
8 0
3 years ago
Margie did math homework for 25 minutes science homework for 60 minutes and took a break for 15 minutes write a percent to repre
kaheart [24]

Answer:

Margie spent 60% of time in doing  science Homework

Step-by-step explanation:

Given:

Time spent in doing maths homework = 25 minutes

Time spent in doing science homework = 60 minutes

Break Time  = 15 minutes

To Find:

A percent to represent the portion of time that Margie spent on science homework = ?

Solution:

Let the portion representing the portion of time that Margie spent on science homework be x

The total time spent in doing both maths and science homework and in break time = Time spent in doing maths homework + Time spent in doing science homework + Break Time

The total time spent in doing both maths and science homework and in break time = 25 +60 +15 = 100 minutes

Then

x = \frac{\text{time spent in doing science home work}}{\text{total time spent}} \times 100

x =\frac{60}{100} \times 100

x = 60%

7 0
4 years ago
PLEASE HELP GIVING MANY POINTS!
NeTakaya

Answer:

  69.01 m

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you ...

  Tan = Opposite/Adjacent

The tangent function is useful for problems like this. Let the height of the spire be represented by h. The distance (d) across the plaza from the first surveyor satisfies the relation ...

  tan(50°) = (h -1.65)/d

Rearranging to solve for d, we have ...

  d = (h -1.65)/tan(50°)

The distance across the plaza from the second surveyor satisfies the relation ...

  tan(30°) = (101.65 -h)/d

Rearranging this, we have ...

  d = (101.65 -h)/tan(30°)

Equating these expressions for d, we can solve for h.

  (h -1.65)/tan(50°) = (101.65 -h)/tan(30°)

  h(1/tan(50°) +1/tan(30°)) = 101.65/tan(30°) +1.65/tan(50°)

We can divide by the coefficient of h and simplify to get ...

  h = (101.65·tan(50°) +1.65·tan(30°))/(tan(30°) +tan(50°))

  h ≈ 69.0148 ≈ 69.01 . . . . meters

The tip of the spire is 69.01 m above the plaza.

3 0
3 years ago
Melinda goes bowling on saturday afternoons.She bowls three games and pays for shoe rental.Define a variable and write an expres
lana66690 [7]
Let's call the cost of one game x.
Let x = Cost of one game
3x + $2
3 × $4 + $2 =
$12 + $2 =
$14
ANSWER:
$14
3 0
3 years ago
Read 2 more answers
Find the remainder when you divide (−7) by 90.
True [87]

Answer: -12.85714286

Step-by-step explain:

90÷(-7)= -12.85714286

3 0
3 years ago
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