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nydimaria [60]
2 years ago
12

Marge correctly guessed whether a fair coin turned up "heads" or "tails" on six consecutive flips. What is the probability that

she will correctly guess the outcome of the next coin toss?
Mathematics
2 answers:
daser333 [38]2 years ago
4 0
There is a 50% chance
mihalych1998 [28]2 years ago
3 0

Answer:

1/2 = 50%

Step-by-step explanation:

The seventh flip will not related to the first 6 flips because it is an independent event. The probability of guessing right turning heads or tails will still be 1/2 or 50% as it is an INDEPENDENT EVENT.

Hope this help you :)

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Write the equation of a line that passes through two points (-1, 0) and (4, -5).
sleet_krkn [62]

Answer:

<u>y = -1 (x) -1</u>

Step-by-step explanation:

If you plug in the numbers from the coordinates into the equation, you will find that it's true.

-1 is x and 0 is y. Plug in the #s like so:

y = -1 (x) -1

0 = -1 (-1) - 1

0 = 1 - 1

0 = 0

Therefore, the equation above represents the line that passes through both these points.

8 0
3 years ago
The displacement (in meters) of a particle moving in a straight line is given by the equation of motion
Ksenya-84 [330]

Answer:

  • -2/a³ m/s
  • -2 m/s
  • -1/4 m/s
  • -2/27 m/s

Step-by-step explanation:

The velocity is the derivative of position:

  v = ds/dt = (d/dt)(t^-2) = -2t^-3

For t=a, the velocity is

  -2a^-3 = -2/a³ . . . . meters per second

For t=1, the velocity is ...

  -2·1³ = -2 . . . . meters per second

For t=2, the velocity is ...

  -2·2^-3 = -2/8 = -1/4 . . . . meters per second

For t=3, the velocity is ...

  -2·3^-3 = -2/27 . . . . meters per second

4 0
3 years ago
What is the missing reason in the proof?
Nookie1986 [14]
A) corresponding angle theorem
3 0
2 years ago
A commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red. She estimates th
sergij07 [2.7K]

Answer:

(a) The mean or expected value of <em>X </em>is 2.2.

(b) The standard deviation of <em>X</em> is 1.3.

Step-by-step explanation:

Let <em>X</em> = number of times the traffic light is red when a commuter passes through the traffic lights.

The probability distribution of <em>X</em> id provided.

The formula to compute the mean or expected value of <em>X </em>is:

\mu=E(X)=\sum x.P(X=x)

The formula to compute the standard deviation of <em>X </em>is:

\sigma=\sqrt{E(X^{2})-(E(X))^{2}}

The formula of E (X²) is:

E(X^{2})=\sum x^{2}.P(X=x)

(a)

Compute the expected value of <em>X</em> as follows:

E(X)=\sum x.P(X=x)\\=(0\times0.06)+(1\times0.25)+(2\times0.35)+(3\times0.15)+(4\times0.13)+(5\times0.06)\\=2.22\\\approx2.2

Thus, the mean or expected value of <em>X </em>is 2.2.

(b)

Compute the value of E (X²) as follows:

E(X^{2})=\sum x^{2}.P(X=x)\\=(0^{2}\times0.06)+(1^{2}\times0.25)+(2^{2}\times0.35)+(3^{2}\times0.15)+(4^{2}\times0.13)+(5^{2}\times0.06)\\=6.58

Compute the standard deviation of <em>X</em> as follows:

\sigma=\sqrt{E(X^{2})-(E(X))^{2}}\\=\sqrt{6.58-(2.22)^{2}}\\=\sqrt{1.6516}\\=1.285\\\approx1.3

Thus, the standard deviation of <em>X</em> is 1.3.

4 0
3 years ago
Read 2 more answers
What is the median of the data (180,175,163,186,153,194,198,183,187,174,177,196,162,185,174,195,164,152,144,138,125,110)
allsm [11]
Put them in order from smallest to largest
110, 125, 138 , 144, 152,153,162, 163,164, 174, 174, 175, 177,180,183,185, 186,187, 194,195, 196,198

median = (174 + 175 )/2 = 174.5

answer
174.5


8 0
3 years ago
Read 2 more answers
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