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1 year ago

A biased coin is flipped twice.

Mathematics

1 answer:

Anni [7]1 year ago

8 0

Answer:

0.48.

Step-by-step explanation:

There are 2 ways that a tail lands once:-

Tail + head or

head + tail.

Prob(Tail on one throw) = 0.4

Prob(Head on one throw) = 1 - 0.4 = 0.6.

Prob(Tail first then head) = 0.4 * 0.6 = 0.24

Head then tail has the same probability (0.6*0.4).

So the requred probability = 0.24 + 0.24

= 0.48.

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3 years ago

Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing v

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Answer:

a) The coordinates of the missing vertex = (7, 8)

b) Area = 18 square units

Perimeter = 18 units

Step-by-step explanation:

a) We know three of the four vertices:

A: (4, 2) C ______ D(?)

B: (7, 2) | |

C: (4, 8) A |______| B

To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:

$B_{x} - A_{x} = 7 - 4 = 3$

Hence, the distance of point D from point C in the x-direction is:

$D_{x} = C_{x} + 3 = 4 + 3 = 7$

Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:

$C_{y} - A_{y} = 8 - 2 = 6$

Then, the distance of point D from point B in the y-direction is:

$D_{y} = B_{y} + 6 = 2 + 6 = 8$

Therefore, the coordinates of the missing vertex (point D) are:

$D = (D_{x}, D_{y}) = (7, 8)$

b) The area of the rectangle is:

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I hope it helps you!

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2 years ago

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Olegator [25]

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3 0

2 years ago

Read 2 more answers

A first number is nine less than a second. The sum of the numbers is 45. Find the numbers.

oee [108]

Answer:

The first number is 18 and the second number is 27.

Step-by-step explanation:

Given:

A first number is nine less than a second.

The sum of the numbers is 45.

Now, to find the numbers.

Let the second number be $x.$

And the first number be $x-9.$

The sum of the both numbers is 45.

According to question:

$(x-9)+x=45.$

⇒ $x-9+x=45.$

⇒ $2x-9=45.$

Adding both sides by 9 we get:

⇒ $2x=54.$

Dividing both sides by 2 we get:

⇒ $x=27.$

The second number = 27.

Now, to get the first number we put the value of $x$ :

$x-9$

$=27-9$

$=18.$

Therefore, the first number is 18 and the second number is 27.

4 0

3 years ago