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Elanso [62]
3 years ago
10

In five consecutive tosses of a coin, what is the probability of not getting a tail until the 5th coin toss?

Mathematics
1 answer:
jasenka [17]3 years ago
3 0
The proabability would be 50% always
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A telephone pole has a wire to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor po
Bumek [7]

Answer:

The height of the pole is 105ft,

Step-by-step explanation:

Let us call h the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is h - 49.

The wire length d is 14 ft longer than height h, hence

d= h+14.

Thus we get a right triangle with hypotenuse d= y+14, perpendicular  h, and base h-49; therefore, the Pythagorean theorem gives

(h-49)^2+h^2 = (h+14)^2

which upon expanding we get:

h^2-98h+2401 = h^2+28h+196

further simplification gives

h^2-126h+2205=0,

which is a quadratic equation with solutions

h =21ft\\h = 105ft.

Since the first solution h =21ft will give the triangle base length of 21ft-49ft = -28ft which is negative; therefore, we disregard it and pick the solution h = 105ft.

Hence, the height of the pole is 105ft.

3 0
2 years ago
Which is the longest? 100mm, 5cm,1/2m​
GenaCL600 [577]

Answer:100mm

Step-by-step explanation:

7 0
2 years ago
In science class, the average score on a lab report is 82 points, with all the students scoring within 3.2 of the average. If x
rodikova [14]

Answer:  |x − 82| = 3.2.

that is your answer

Step-by-step explanation:

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2 years ago
Sarah wants to fence her garden, as shown below. Determine how much fencing to the nearst foot that
coldgirl [10]

Answer:

431.775 ft

Step-by-step explanation:

So basically we should first find the area of the rectangles which is  28 ft * 15 ft, which you get 420. Next for the semicircle, the diameter is 15 but we need the radius so you divide that by 2 to get 7.5 as the radius. Then u multiply 7.5 * π, or 3.14 to get 23.55. But since its a semicircle, or half a circle we divide 23.55 by 2 which is 11.775. Then we just add the results which is 420 ft and 11.755 ft to get a total area of 431.775 ft.

-Hope this helped!

4 0
3 years ago
3x≤−5/4 please help me so i can pass this assignment
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Hope this helps !!!!!

6 0
2 years ago
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