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2 years ago

During a winter storm, the temperature on the top of a

1 answer:

5 0

According to the rate of change, it is found that the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.

<h3>What is the average rate of change?</h3>

The average rate of change of a function is given by the change in the output divided by the change in the input.

In this problem, it is stated that at the top of the mountain, the average rate of change is of -2.5 ºC per hour, and at the bottom of the mountain the rate is the same, hence the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.

You can learn more about average rate of change at brainly.com/question/26420851

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What is the opposite of real number

Dafna1 [17]

An imaginary number. The defining property of an imaginary number is that has the number i attached to it, where i² = -1.

A few examples of imaginary numbers: 3i, i, -7i, (√3)i, (1/2)i

7 0

3 years ago

Read 2 more answers

A source of information randomly generates symbols from a four letter alphabet {w, x, y, z }. The probability of each symbol is

koban [17]

The expected length of code for one encoded symbol is

$\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha\ell_\alpha$

where $p_\alpha$ is the probability of picking the letter $\alpha$ , and $\ell_\alpha$ is the length of code needed to encode $\alpha$ . $p_\alpha$ is given to us, and we have

$\begin{cases}\ell_w=1\\\ell_x=2\\\ell_y=\ell_z=3\end{cases}$

so that we expect a contribution of

$\dfrac12+\dfrac24+\dfrac{2\cdot3}8=\dfrac{11}8=1.375$

bits to the code per encoded letter. For a string of length $n$ , we would then expect $E[L]=1.375n$ .

By definition of variance, we have

$\mathrm{Var}[L]=E\left[(L-E[L])^2\right]=E[L^2]-E[L]^2$

For a string consisting of one letter, we have

$\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha{\ell_\alpha}^2=\dfrac12+\dfrac{2^2}4+\dfrac{2\cdot3^2}8=\dfrac{15}4$

so that the variance for the length such a string is

$\dfrac{15}4-\left(\dfrac{11}8\right)^2=\dfrac{119}{64}\approx1.859$

"squared" bits per encoded letter. For a string of length $n$ , we would get $\mathrm{Var}[L]=1.859n$ .

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2 years ago

A light bulb consumes 1440 watt-hours per day. How many watt-hours does it consume in 4 days and 18 hours.

dimaraw [331]

Answer:

6840

Step-by-step explanation:

Well we know there's 24 hours in a day so dividing that by 1440 we get 60. Now we know that it consumes 60 watts ever hour. so now we just have to figure out how many hours there are and times that by 60. So there are 96 hours in 4 days plus 28=114. So times that by 60 ( watts) 114×60=6840

So that's your awnser.

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6 0

2 years ago

1. It costs $3.45 to buy 3/4 lb of chopped walnuts. How much would it cost to purchase

konstantin123 [22]

Answer:

$34.50

Step-by-step explanation:

First, how many 3/4 lbs are in 7.5 lbs?

7.5 lbs = 15/2 lbs.

(15/2) / (3/4) = 10

There are 10 "3/4" lbs in 7.5 lbs.

So, if it costs $3.45 to purchase 3/4 lbs of chopped walnuts, it would cost $3.45 times 10 dollars to purchase 7.5 lbs of chopped walnuts, or $34.50.

Let me know if this helps!

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2 years ago

Is “12.95 x 10^4” a Scientific Notation? Yes or No? Explain.

trapecia [35]

Answer:

Yes

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8. and that is something Very similar.

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7 0

3 years ago