Jared bought a package of pens containing 20 pen. If 3/4 had black ink exactly how many pens have black ink

Let X have the probability mass function P(X = −1) = 1 2 , P(X = 0) = 1 3 , P(X = 1) = 1 6 Calculate E(|X|) using the approaches

Studentka2010 [4]

Answer:

Step-by-step explanation:

From the given information:

Note that the possible values of Y are 0 and 1 because;

y = 0 if X = 0 and y = 1 if X = ±1

∴

$P(Y =0) = P(X = 0) =\dfrac{1}{3}$

$P(Y = 1) = P(X = -1 \ or \ 1) \\ \\ = P(X = -1) + P(X = 1)$

$= \dfrac{1}{2}+ \dfrac{1}{6}$

$=\dfrac{3+1}{6}$

$= \dfrac{2}{3}$

b)

$E(|X|) = \sum |x| P(X=x) = ( 1 \times \dfrac{1}{2}) + ( 0\times \dfrac{1}{3}) + ( 1 \times \dfrac{1}{6})$

$= \dfrac{2}{3}$

7 0

3 years ago

Two friends, Parker and David, took summer jobs. The graph below represents David's earnings in dollars and cents, yy, for worki

siniylev [52]

Answer:

WORK For Exercises 44 and 45, use the information below and in the graph. Andrea works in a restaurant and is paid every two weeks. If Andrea earns $ 6.50 an hour, illustrate the Distributive Property by writing two expressions representing Andrea's pay last week.

8 0

2 years ago

HELP PLS BRAINLIEST IF POSSIBBLE factor each polynomial completely a^2-ab-8a+8a brainly

sineoko [7]

Answer:

a(a - b)

Step-by-step explanation:

given polynomial: a²- ab - 8a + 8a

We can first simplify this answer by removing like terms,

- 8a + 8a = 0

so we have a²- ab in. the simplest form

we can take this one step further and factor out the a (not simplest form)

a time a = a²

a times b = ab

hence, a(a - b)

Learn more about Factoring here: brainly.com/question/18032923

7 0

2 years ago

Write and solve an equation to find the value of x and the missing angle measures

meriva

Answer:

x+85 + x+105 = 180

x = -5

x+85 = -5+85 = 80

x+105 = -5+105 = 100

Step-by-step explanation:

The two angles form a straight line so they add to 180

x+85 + x+105 = 180

Combine like terms

2x + 190 = 180

Subtract 190 from each side

2x+190-190 = 180-190

2x = -10

Divide by 2

2x/2 = -10/2

x = -5

x+85 = -5+85 = 80

x+105 = -5+105 = 100

5 0

3 years ago

Read 2 more answers

Someone plz help me with this asap!!!!!

Bas_tet [7]

Answer:

1.) $x=8\sqrt{3};y=16$

2.) $x=1;y=\frac{\sqrt{3}}{2}$

3.) $x=28 ; y=14\sqrt{3}$

4.) $x=24 ; y=12\sqrt{3}$

5.) $x=4\sqrt{3};y=8\sqrt{3}$

6.) $x=\frac{8\sqrt{3}}{3};y=\frac{16\sqrt{3}}{3}$

Step-by-step explanation:

Use the 30°-60°-90° formulas:

a. $longer$ $leg=\sqrt{3}*shorter$ $leg$

b. $hypotenuse=2*shorter$ $leg$

1.) Insert values for a:

$x=\sqrt{3}*8$

Simplify:

$x=8\sqrt{3}$

Insert values for b:

$y=2*8$

Simplify:

$y=16$

2.) Insert values for a:

$y=\sqrt{3}*\frac{1}{2}$

Simplify:

$y=\frac{\sqrt{3}}{2}$

Insert values for b:

$x=2*\frac{1}{2}$

Simplify:

$x=1$

3.) Insert values for a:

$y=\sqrt{3}*14$

Simplify:

$y=14\sqrt{3}$

Insert values for b:

$x=2*14$

Simplify:

$x=28$

4.)Insert values for a:

$y=\sqrt{3}*12$

Simplify:

$y=12\sqrt{3}$

Insert values for b:

$x=2*12$

Simplify:

$x=24$

5.) Insert values for a:

$12=\sqrt{3}*x$

Divide both sides by $\sqrt{3}$ and rationalize:

$\frac{12}{\sqrt{3}}=\frac{\sqrt{3}*x}{\sqrt{3}}\\\\\frac{12}{\sqrt{3}}=x\\\\\frac{\sqrt{3}}{\sqrt{3}}*\frac{12}{\sqrt{3}}\\\\\frac{12\sqrt{3}}{\sqrt{9}}\\\\\frac{12\sqrt{3}}{3}\\\\4\sqrt{3}=x$

Flip:

$x=4\sqrt{3}$

Insert values for b:

$y=2*4\sqrt{3}$

Simplify:

$y=8\sqrt{3}$

6.) Insert values for a:

$8=\sqrt{3}*x$

Divide both sides by $\sqrt{3}$ and rationalize:

$\frac{8}{\sqrt{3}}=\frac{\sqrt{3}*x}{\sqrt{3}}\\\\\frac{8}{\sqrt{3}}=x\\\\\frac{\sqrt{3}}{\sqrt{3}}*\frac{8}{\sqrt{3}}\\\\\frac{8\sqrt{3}}{\sqrt{9}}\\\\\frac{8\sqrt{3}}{3}=x$

Flip:

$x=\frac{8\sqrt{3}}{3}$

Insert values for b:

$y=2*\frac{8\sqrt{3}}{3}$

Simplify:

$y=\frac{16\sqrt{3}}{3}$

Finito.

5 0

3 years ago