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3 years ago

Which expression is equivalent to 4(x^3)(2x)^-4

Mathematics

1 answer:

AVprozaik [17]3 years ago

3 0

Answer:

= $\frac{4x^{3}}{16 x^{4}}$

Step-by-step explanation:

$4(x^{3} )(2x)^{-4}$

= $\frac{4x^{3}}{(2x)^{4}}$

= $\frac{4x^{3}}{2^{4} x^{4}}$

= $\frac{4x^{3}}{16 x^{4}}$

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You have 3434 of a pie leftover after your party. Each guest takes home 1616 of the leftover pie.

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You would have 1818 of pie left over...... I do not know the fraction of it

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3 years ago

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Name the slope perpendicular to 3/4.

Gnom [1K]

Answer:

The perpendicular slope is -4/3

Step-by-step explanation:

Perpendicular slopes multiply to -1

m * 3/4 = -1

Multiply each side by 4/3

m * 3/4 *4/3 = -1 * 4/3

m = -4/3

The perpendicular slope is -4/3

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4 years ago

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he probability that the San Jose Sharks will win any given game is 0.3694 based on a 13-year win history of 382 wins out of 1034

garri49 [273]

Answer:

0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Sharks win, or they do not. The probability of the Sharks winning a game is independent of any other game. This 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.

The probability that the San Jose Sharks will win any given game is 0.3694.

This means that $p = 0.3694$

An upcoming monthly schedule contains 12 games.

This means that $n = 12$

What is the probability that the San Jose Sharks win 9 games in the upcoming month?

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

$P(X = 9) = C_{12,9}.(0.3694)^{9}.(0.6306)^{3} = 0.0071$

0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.

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3 years ago

as the earth revolves around the sun it travels at a speed of 18 miles per second. covert this speed to miles per minute at this

morpeh [17]

If we have the speed of 18 miles per second, 18miles/s
to find out what is the speed in 1 minute we will need to multiply 18 by 60, as there are 60 seconds in 1 minute
18 miles..............................1 second
?miles..................................60 seconds(1min)
18*60=1080 miles
we have 1080 miles/minute
in 2 minutes we have 1080*2=2160 miles
hope it helps

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3 years ago

Hurry I need the answers plz and how u got it

aleksley [76]

There are 122,100 public school teachers in Ohio and Ohio has a population of 11.6 million people. Illinois has a population of 12.9 million people. If the number of public school teachers per capita in Illinois was proportional to that of Ohio, how many public school teachers would we expect Illinois to have?

This problem uses proportionality or the relationship between two values. Typically, proportions are expressed as fractions. So, we can set this up as

$\frac{Teachers}{Population}$ and we can use this to express both of our values. So, for Ohio, we have $\frac{122,100}{11,600,000}$ and for Illinois we have $\frac{x}{12,900,900}$ . Now, because they are proportional, we can set them equal to each other and we get $\frac{122,100}{11,600,00} = \frac{x}{12,900,000}$ . Now we can cross multiply to get $11,600,000x=1446090000000$ . To get the $x$ alone on one side, we divide by $11,600,000$ and we get 124,662.931034, which is about equal to 124,663.

Therefore, we expect Illinois to have 124,663 public school teachers

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3 years ago