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taurus [48]
3 years ago
8

T he area of a square postage stamp is 81/100 in 2. What is the side length of the stamp?

Mathematics
1 answer:
mixas84 [53]3 years ago
8 0

We have been given that area of a square postage stamp is \frac{81}{100} \text{ in}^2

We have to find the side length of the stamp. In order to find the same, we use the formula for area of a square.

The area of a square with side length 'a' is given by

A=a^2

Substituting the value of area in this formula, we get

\frac{81}{100} = a^2\\
\\
a=\frac{9}{10}

Therefore, the side length of the stamp is given by 9/10 inches.

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Answer:

17)  x=7

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19) x= -8

20) x= 6

Step-by-step explanation:

17) is congruent

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19) is congruent

20) is congruent

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(10 + 9) x (3 - 1) x 2 = +75
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Lilit [14]
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Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following.
borishaifa [10]

Answer:

P(x > 10) = 0.6981.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this question:

n = 14, p = 0.8

P(x>10)

P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501

P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501

P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539

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P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981

So P(x > 10) = 0.6981.

8 0
3 years ago
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