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3 years ago

Calculate the height of an equilateral triangle with side is 8 cm long

Mathematics

1 answer:

Greeley [361]3 years ago

8 0

Step-by-step explanation:

use pythagoras theorem for finding the height

hypotenuse is 8cm

base is 4 cm

height?

a^2+b^2=c^2

64-16=a^2

a=7.07cm

Height of equilateral triangle is 7.07cm

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Step-by-step explanation:

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A teacher teaches two classes with 8 students each. Each student has a 95% chance of passing their class independent of the othe

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Step-by-step explanation:

For each student, there are only two possible outcomes. Either they pass, or they do not. The probability of an student passing is independent of other students, which means that the binomial probability distribution is used to solve this question.

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.

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Each student has a 95% chance of passing their class independent of the other students, which means that $p = 0.95$

This probability is P(X = 8). So

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$P(X = 8) = C_{8,8}.(0.95)^{8}.(0.05)^{0} = 0.6634$

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3 years ago

Calculate the height of an equilateral triangle with side is 8 cm long​

Calculate the height of an equilateral triangle with side is 8 cm long