Need help please on Pre Calculus!!! Directions: verify each identity

Mathematics

1 answer:

Juliette [100K]3 years ago

3 0

You first simplify

tan(x) = cos(x)/sin(x) and cot(x) = sin(x)/cos(x)

Then you plug that in and then you simplify even more

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Need help asap please

cestrela7 [59]

Answer:

9:49 is the answer because question say ratio is square of small and big

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2 years ago

How much water can be contained by a cylindrical tin can with a radius of 15m and a height of 268m if its 5/6 full?

Law Incorporation [45]

First you find the area of the circle using the radius then multiplying that to the height. That gets the full volume. Using that measurement multiply it by 5/6 to figure out what 5/6 of the volume is. Good luck!

5 0

2 years ago

A computer is used to generate passwords made up of numbers 0 through 9 and lowercase letters. The computer generates 400 passwo

tamaranim1 [39]

The prediction for the number of passwords in which the first character is a vowel is 56 passwords.

<h3>How to find that a given condition can be modelled by binomial distribution?</h3>

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

$X \sim B(n,p)$

The probability that out of n trials, there'd be x successes is given by

$P(X =x) = \: ^nC_xp^x(1-p)^{n-x}$

The expected value and variance of X are:

$E(X) = np\\$

Given that the characters that can be used are numbers 0 through 9 and lowercase letters. Therefore, a total of 36 different characters are available.

Since we need to know the passwords made with vowels, therefore, the probability of a password in which the first character will be a, e, i, o, u is (5/36).

Now as the computer produces 400 passwords, therefore, the predicted value can be written as,

$E = np = 400 \times \dfrac{5}{36} = 55.5556 \approx 56$