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katen-ka-za [31]
3 years ago
14

A coin is tossed 7 times. What is the probability that the number of heads obtained will be between 2 and 7 inclusive? Express y

our answer as a fraction or a decimal number rounded to four decimal places.
Mathematics
1 answer:
Marina CMI [18]3 years ago
5 0

Answer:

0.9375

Step-by-step explanation:

Given the following :

Number of coin tosses = 7

Probability that number of heads obtained will be between 2 and 7 inclusive?

x = 2,3,4,5,6,7

Probability (P) = number of required outcomes / total possible outcomes

For a coin toss = 1 Head (H), 1 tail (T)

P(H) = 1 / 2

P(X) = C(7,x) * (1/2)^7

P(X) = C(7, x) / 0.5^-7

P(X) = [C(7,2) + C(7, 3)+ C(7,4) +C(7,5) + C(7,6) +C(7,7)] / 128

P(X) = (21 + 35 + 35 + 21 + 7 + 1) / 128

P(X) = 120 / 128

P(X) = 0.9375

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\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond

         Write an equation for the line that passes through (0, 1) and has a slope of 2 (in point-slope form).

\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond

<u>Point-slope form</u>:-

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Substitute 1 for y₁, 2 for m, and 0 for x₁:-

\sf{y-1=2(x-0)}

So we conclude that Option B is correct.

<h3>Good luck.</h3>

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Which step in the construction of copying a line segment ensures that the new line segment has
Nesterboy [21]

The steps 5 and 6 in the construction of a new line segment  ensures the lengths are equal.

A line segment in geometry has two different points on it that define its boundaries. Alternatively, we may define a line segment as a section of a line that joins two points.

Below are the steps for copying a line segment:

  • 1. Let's begin with a line segment we need to copy, AB.
  • 2. we take a point C at this stage. That will be one endpoint of the new line section, either below or above AB.
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  • 4. We spread the compass out until point B, making sure that its breadth corresponds to the length of AB.
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  • 7. From C, draw a line to D;CD thus formed is equal to AB.

Hence steps 5 and 6 are the steps in the construction of a new line segment which ensures the lengths are equal.

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