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True [87]
1 year ago
12

(for 50 points) Choose an expression that is equivalent to negative two raised to the fourth power divided by negative two raise

d to the second power .
negative two divided by negative two raised to the fifth power

negative two raised to the second power divided by negative two raised to the fourth power

negative two raised to the fifth power divided by negative two

negative two raised to the sixth power divided by negative two raised to the fourth power
Mathematics
1 answer:
svp [43]1 year ago
5 0

The mathematical expression that is equivalent to negative two raised to the fourth power divided by negative two raised to the second power is negative two raised to the sixth power divided by negative two raised to the fourth power; option D.

<h3>What is a mathematical expression?</h3>

A mathematical expression is an expression which uses mathematical symbols and mathematical operations to represent an idea.

Two mathematical expressions are equivalent if they have the same value

The expression that is equivalent to negative two raised to the fourth power divided by negative two raised to the second power can be written as (-2)⁴/(-2)² = 2²

An equivalent expression is negative two raised to the sixth power divided by negative two raised to the fourth power written as : (-2)⁶/(-2)⁴ = 2²

In conclusion, two mathematical expressions are equivalent if they have the same value when fully expressed.

Learn more about mathematical expression at: brainly.com/question/4344214

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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

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

Learn more about Binomial Distribution:

brainly.com/question/14565246

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2 years ago
Mark is solving the following system.
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The perimeter of a rectangular garden is 24. If the length is half the width, what is<br> the width?
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Let length be x

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ATQ

\\ \sf\longmapsto 2(L+B)=24

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3 years ago
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