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2 years ago

PLZ HELP ASAP 20 POINTS PLZ ANSWER THIS HOUR IF AC = 26 cm, what is BC?

Mathematics

1 answer:

Vladimir [108]2 years ago

6 0

AB = BD = 10cm

Now using the Pythagorean theorem:

26^2 = 10^2 + BC^2

Simplify:

676 = 100 + BC^2

Subtract 100 from both sides:

576 = BC^2

Take the square root of both sides:

BC - sqrt(576)

BC = 24 cm

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2 years ago

Find the probability of at least one

zmey [24]

Answer:

99.8% probability of at least one failure.

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.

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And p is the probability of X happening.

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This means that $p = 0.3$

Five trials:

This means that $n = 5$

Find the probability of at least one failure in five trials of a binomial experiment in which the probability of success is 30%.

Less than five sucesses, which is:

$P(X < 5) = 1 - P(X = 5)$

In which

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

$P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{0} = 0.002$

$P(X < 5) = 1 - P(X = 5) = 1 - 0.002 = 0.998$

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3 years ago

Each expression with the appropiate property:

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Answer:

it denotes existence of additive inverse i.e. option A is correct

Explanation:

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