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3 years ago

Use what you know about decomposing fractions to write 11/10 as a mixed number

Mathematics

1 answer:

Korolek [52]3 years ago

6 0

Answer:

11/10 as a mixed number is 1 and 1/10

Step-by-step explanation:

10 out of 10 is 1 but there is still another tenth that needs to be added so it is 1 and one tenth.

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Is 0.7777.... a rational or irrational number and why

xxTIMURxx [149]

Answer:

irrational.

Step-by-step explanation:

0.7777... repeats and does not end so it is irrational

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3 years ago

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What is the fraction 1 over 6 as a percent?

gavmur [86]

Just simply divide then multiply by 100
1/6= 0.166667×100=<span>16.6667%

So </span>16.6667% is the answer
if you want it rounded 16.7%

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3 years ago

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The sum of two trinomials is always a trinomial?<br><br> True or False and why?

Amiraneli [1.4K]

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3 years ago

Reflect the shape over the line shown !

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2 years ago

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

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

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

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

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

$P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440$

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

So P(x > 10) = 0.6981.

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3 years ago