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2 years ago

Find the gradients of lines A and B.

1 answer:

5 0

Hey, you didn’t provide any picture or further context.

To solve for gradient, do (y2-y1)/(x2-x1)
So what do you think?

You might be interested in

A large bottle holds 250% as much water as a small bottle. If the small bottle holds 12 ounces of water, how many ounces of wate

mylen [45]

30 ounces

because 2.5*12=30

3 0

3 years ago

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 $\mathrm{Var}[L]=1.859n$ .

5 0

2 years ago

The spinner is divided into equal parts. Use a tree diagram to find the probability that the spinner will land on a consonant th

LenKa [72]

It is probably A: 2/3

8 0

3 years ago

Explain why 2/3 ×12 can be written as 2 × 12 ÷3

nalin [4]

Answer:

violates the rules or bedmas

Step-by-step explanation:

When doing questions like these, bedmas comes into play. althought multiplication and division are the same in terms of priority, you should do the one that comes first when reading the equation/formula left to right.

this would mean you would do 2 ÷ 3 and the answer would be multiplied by 12.

8 0

3 years ago

Adam spent $3.42 on orange juice. orange juice costs $0.12 per ounce. how many ounces of orange juice did adam buy?

nikklg [1K]

0.12 = 1 ounce. 12 goes into 342, 28.5 times. Your answer would be 28.5.
(3.42 divided by 0.12)

6 0

3 years ago