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Anni [7]
3 years ago
14

certain computer virus can damage any file with probability 35%, independently of other files. Suppose this virus enters a folde

r containing 2400 files. Compute the probability that between 800 and 850 files get damaged (including 800 and 850).
Mathematics
1 answer:
Ksivusya [100]3 years ago
8 0

Answer:

0.623 is the probability that between 800 and 850 files get damaged.

Step-by-step explanation:

We are given the following information:

We treat virus can damage computer as a success.

P( virus can damage computer) = 35% = 0.35

The conditions for normal distribution are satisfied.

By normal approximation:

\mu = np = 2400(0.35) = 840\\\sigma = \sqrt{np(1-p)} = \sqrt{2400(0.35)(1-0.35)} = $$23.36

We have to evaluate probability that between 800 and 850 files get damaged.

P(800 \leq x \leq 850) = P(\displaystyle\frac{800 - 840}{23.36} \leq z \leq \displaystyle\frac{850-840}{23.36}) = P(-1.712 \leq z \leq 0)\\\\= P(z \leq 0.428) - P(z < -1.712)\\= 0.666 - 0.043 = 0.623 = 62.3\%

P(800 \leq x \leq 850) = 62.3\%

0.623 is the probability that between 800 and 850 files get damaged.

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102 adult tickets were sold.

Step-by-step explanation:

Let,

Adult tickets = x

Children tickets = y

According to given statement;

x+y=146 Eqn 1

8x+5y=1036 Eqn 2

Multiplying\ Eqn\ 1\ by\ 5\\5(x+y=146)\\5x+5y=730\ Eqn\ 3\\Subtracting\ Eqn\ 3\ from\ Eqn\ 2\\(8x+5y)-(5x-5y)=1036-730\\8x+5y-5x-5y=306\\3x=306\\Dividing\ both\ sides\ by\ 3\\\frac{3x}{3}=\frac{306}{3}\\x=102\\

102 adult tickets were sold.

Keywords: Linear equations, subtraction

Learn more about linear equations at:

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3 years ago
PERFOMANCE TASK: Solve the word problem below. You may draw the figure to solve the problem The legs of a right triangle are con
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x =5

Step-by-step explanation:

c = 5√2

a = x

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Formula

x^2 + x^2 = c^2                    Combine the x^2

Solution

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2x^2 = 2*25                         Divide both sides by 2

x^2 = 25                               Take the square root of both sides.

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Step-by-step explanation:

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Looking at this, let's pick 8&3 first

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4 years ago
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