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prisoha [69]
4 years ago
10

Three fair coins are tossed. what is the probability that they are all heads if at least one coin is head,

Mathematics
2 answers:
Olegator [25]4 years ago
4 0
There is your answer hope it helps
\frac{1}{3}
EleoNora [17]4 years ago
3 0

Answer:

1/7

Step-by-step explanation:

There are 8 sample points in the sample space. The sample space is

S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}. The event at least one coin is head is compoused

by seven sample points: {HHH, HHT, HTH, THH, TTH, THT, HTT}, then, to obtain the probability of three heads given that we know that at least one coin is head, we should regard the "new sample space" reduced, i.e., we should consider the set with seven sample points as the new sample space. In the new sample space, just one point corresponds to three heads. Therefore the probability we are seeking is 1 out of 7 or 1/7.

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A rock is thrown upward from a bridge that is 22 feet above a road. The rock reaches its maximum height above the road 0.69 seco
Flura [38]

Answer:

  • <u>f(t) = -7.561(t + 1.15)(t - 2.53)</u>

Explanation:

The<em> hint </em>is that the function f can be written in the form:

  • f(t) = c (t - t₁) (t - t₂)

It is a quadratic function, i.e. a parabola.

The maximum point, maximum height, of a parabola is its vertex.

And the x-coordinate of the vertex is at the midpoint between the two x-intercepts.

The time when the rock reaches the road is one x-intercept: t = 2.53 seconds: (2.53, 0).

The other x-intercept is sucht that (x + 2.53) / 2 = 0.69

  • (x + 2.53) / 2 = 0.69
  • x + 2.53 = 1.38
  • x = 1.38 - 2.53
  • x = -1.15

Thus, the equation is:

  • f(t) = c(t + 1.15) (t - 2.53).

You can find c by doing t = 0, because at t = 0 the height, f(t), is 22 feet:

  • f(0) = 22 = c (0 +1.15)(0 - 2.53)
  • 22 = c(1.15)(-2.53)
  • 22 = c (-2.9095)
  • c = - 22/(2.9095)
  • c = - 7.561

Then, the function can be written as:

  • f(t) = -7.561(t + 1.15) (t - 2.53) ← answer
6 0
3 years ago
from the top of a building 10m high the angle of depression of a stone lying on the horizontal ground is 60° . calculate the dis
Alja [10]

​Answer:

14.29cm

Step-by-step explanation:

Height of the building=10cm

Angle of depression=60°

We are therefore asked to find the distance from the stone to the

the foot of the building;Therefore we use Tan ratio which is opp/adj;

Let the distance from the stone to the foot of the building be x;

10/x=Tan60°

10/x=1.7/1

We then cross multiply to get 1.7x=10

x=10/1.7

=10*10/1.7*10

=100/17

=14.29cm.

7 0
3 years ago
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rewona [7]

Answer:

a^{4} b^{6}

Step-by-step explanation:

ab² * ab³ * a²b

a^4 b^6

a^{4} b^{6}

5 0
2 years ago
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egoroff_w [7]

Answer:

uh there is no image?

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7 0
3 years ago
Michael cycled 36km in 3 hours.<br>Work out his avarage speed.
san4es73 [151]
Hello mate,
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I hope it helps :-)
8 0
3 years ago
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