Graph y=-x+2 <br> x-3y=-18

In the number 7,890,432, name the digit located in each of these positions.

alina1380 [7]

A=4 B=7 C=9 D=3 E=8 F=0

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

I need help I don't know how to do this

Sidana [21]

Answer:

$x\geq 23$

Step-by-step explanation:

This equation can simply be solved by adding 15 to both sides.

To graph, draw a closed point at the center of the line and darken the area to the right of it.

5 0

2 years ago

A, B & C lie on a straight line.

VikaD [51]

Answer:

Step-by-step explanation:

A, B & C lie on a straight line.

D, C & E lie on a different straight line.

Ah, this is 2 intersecting lines

angles

y

= 106° and angle

z

= 64°.

well we know that a full size of circle is 360 degrees

let's add z and y :

106+64 = 170

then, let's subtract it from 360

360 - 170 = 90

we must devide it by 2, why? because 90 is from two section of x (2x)

so 90/2 = 45

and there you have it x = 45

if you still cannot visualize what is intersecting line mean, then see the file below

4 0

2 years ago

What s the midpoint of the line segment with endpoints (3.5,2.2) and (1.5,-4.8)

Natali5045456 [20]

Answer:

First, you must find the midpoint of the segment, the formula for which is

(

x

1

+

x

2

,

y

1

+

y

2

)

. This gives

(

−

5

,

3

)

as the midpoint. This is the point at which the segment will be bisected.

Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula

y

2

−

y

1

x

2

−

x

1

, which gives us a slope of

5

.

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of

5

is

−

1

5

.

We now know that the perpendicular travels through the point

(

−

5

,

3

)

and has a slope of

−

1

5

.

Solve for the unknown

b

in

y

=

m

x

+

b

.

3

=

−

1

5

(

−

5

)

+

b

⇒

3

=

1

+

b

⇒

2

=

b

Therefore, the equation of the perpendicular bisector is

y

=

−

1

5

x

+

2

.

Graph y=-x+2 x-3y=-18