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3 years ago

If the area of the rectangle shown is given by the expression 3x2 + 72 - 6and the width is (a + 3), which of the

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

4 0

Answer:

3x - 2.

Step-by-step explanation:

The length = area / width.

The area 3x^2 + 7x - 6 = (3x - 2 )(x + 3)

so the length = (3x - 2 )(x + 3 ) / x + 3

= 3x - 2.

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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

In circle O, what is mArc A E?

posledela

Answer:

Option (3). 120° will be the answer.

Step-by-step explanation:

By using the theorem of secants intersecting externally,

Measure of angle formed by two secants, from a point outside the circle is half the difference of the measures of the intercepted arcs.

m∠C = $\frac{1}{2}(m\widehat{AE}-m\widehat{BD})$

36° = $\frac{1}{2}(m\widehat{AE}-48)$

72° = $m\widehat{AE}-48$ °

$m\widehat{AE}$ = 72 + 48

$m\widehat{AE}$ = 120°

Therefore, Option (3) is the answer.

7 0

2 years ago

PLEASE HELP FAST!!

Oduvanchick [21]

Answer:

x = 4

Step-by-step explanation:

10 = -1/4 x + 11

10 - 11 = -1/4 x

-1 = - 1/4 x

x = 4

7 0

3 years ago

What is 28828+88+8+78282882728288+8+888+8882828888-8–88-89939x929299999299292929+839929828-0+9929299x91919192939939+929292992929

IgorC [24]

Answer:

-8.2667628e+22

-Step-by-step explanation:

3 0

2 years ago

Jennifer is the coach for a Little League Baseball team, the Pirates. She wants to buy new t-shirts for the players. What would

mash [69]

Step-by-step explanation:

Price of one shirt =?

Six packages of three t-shirt = 6 x 3 = 18 shirts

18 shirts = 71.39

1 shirt = 71.39/18

1 shirt = 3.966 or 4

5 0

3 years ago