Ask question

Ask question

All categories

2 years ago

8

Devaughn's age is two times Sydney's age. The sum of their ages is 51 . What is Sydney's age?

1 answer:

Law Incorporation [45]2 years ago

7 0

Let D stand for devaughn and let S stand for sydney so it implies that as at now since D is twice the age of S, we have an equation like D=2S....eqn 1 since their age sum to 51 we have an equation like S+D = 51......eqn2 but we previously have D=2S so we get equation 2 to become S+2S=51 so 3S=51 and therefore S = 51/3 and D = 2times 51/3 which is 102/3...

You might be interested in

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 slope of the line whose equation is 3x - 2y = 4 is 2/3 3/2 -2

7nadin3 [17]

Answer:

3/2

Step-by-step explanation:

The equation 3x-2y=4 can be written in the form of y=mx+c where m is the slope and c is the y intercept.

Therefore

2y=3x-4 and dividing both sides by 2 to have y at the LHS

y=3/2x-2

Therefore, 3/2 represents the gradient/slope

6 0

2 years ago

One basketball weighs 20.2 ounces. The basketball team has a total of 15 basketballs. If each basketball weighs the same, about

S_A_V [24]

So u will do 20.2*15=303 so ure answer would be 303 oz

6 0

2 years ago

Read 2 more answers

Select the statement that describes this expression: 5 x 3 − (2 x 4) + 5. (2 points)

Nana76 [90]

Answer:

I believe the answer is either going to be B or C

Step-by-step explanation:

7 0

2 years ago

It is -12. 5°c outside when the temp starts increasing by 2. 5°c each hour. How long will it take for the temp to reach-5°c

lara31 [8.8K]

Answer:

3 hours

Step-by-step explanation:

12.5/2.5 = 5
then convert it to negative

7 0

1 year ago