how r u doing?? 1-10:D? (free pts btw)

Presumably, the two dice are fair, so that each face has an equal 1/6 probability of being rolled. We roll 2 dice, so there are 6² = 36 possible outcomes, each with 1/36 probability of occurring.

We have

• P(A) = 2/36 = 1/18, because there are only 2 ways to roll a sum of 3 (1+2 and 2+1)

• P(B) = 6/36 = 1/6, because there are 6 ways of rolling a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1)

• P(C) = 12/36 = 1/3, because if 1 die shows a 1, then there are 6 possible values for the other die, and vice versa)

(a) By definition of conditional probability,

P(A | C) = P(A and C) / P(C)

A and C only occur together if we had rolled either {1, 2} or {2, 1}, so ultimately

P(A and C) = P(A)

so that

P(A | C) = (1/18) / (1/3) = 3/18 = 1/6

(b) From the definition,

P(B | C) = P(B and C) / P(C)

By the same reasoning as in (a), we have to roll either {1, 6} or {6, 1} to have both B and C occur, so

P(B and C) = (2/36) / (1/3) = 6/36 = 1/6

(c) In order for two events X and Y to be independent, we need to have

P(X and Y) = P(X) P(Y)

or in terms of conditional probability,

P(X | Y) = P(X and Y) / P(Y) = P(X) P(Y) / P(Y) = P(X)

Then it follows that A and C are not independent, while B and C are independent.

Answer:

2(5g+3h+4)

10g+6h+8

Please that is the answer

Answer:

$10.44

Step-by-step explanation:

Day - 7 hours

one hour - $11.72

7 hrs = (7 × $11.72)

Total per day = $82.04

Evening- 6 hours

1 hour- $8.96

6 hours =(6 × $8.96)

= $53.76

Average = total amount of money ÷ total amount of hours worked

= ($82.04 + $53.76) ÷ ( 7 + 6 )

= 135.8 ÷ 13

= $10.44

Answer:

11. [tex]x^{5}[/tex]

12. 5*[tex]x^{2}[/tex]

13. x+21

14. 2x-8

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

If you want the value of x and it should be true we first need to find the value of x

4 - 3x = 19

-3x = 19 - 4

-3x = 15

x = 15/-3

x = -5

Answer:

p=3/5

Step-by-step explanation:

steps are in the picture.

If you need to ask question about it ,i shall gladly give your answer.

6.5 = -3 + n

Add 3 to both sides:

9.5 = n

Answer: n = 9.5

Answer:

x+30 <3x

x divided by 4 < x - 12

2x < x + 22

The Process with answer. Hope it helps

Answer:

[tex]4 {n}^{5} + 3.5 {n}^{5} + ( - 2.1 {n}^{5} )[/tex]

first create a bracket:

[tex] = ( {4n}^{5} + 3.5 {n}^{5} ) + ( - 2.1 {n}^{5} )[/tex]

then solve the first bracket:

[tex] = {7.5 {n}^{5} } + ( - 2.1 {n}^{5} )[/tex]

then open the remaining bracket:

[tex] = {7.5n}^{5} - {2.1n}^{5} [/tex]

carryout the subtraction operation:

[tex] = (7.5 - 2.1) {n}^{5} \\ { \boxed{ = {5.4n}^{5} }}[/tex]

Answer:

5.4n to the fifth power

Step-by-step explanation:

Answer:

$159

Step-by-step explanation:

$348-189

=$159

Answer:

20x+35y

Step-by-step explanation:

5(2x + 5y) - 4y + 10x

distribute

10x + 25y - 4y + 10x

add like terms

20x+21y

Answer:

fig.1 No, fig.2

Step-by-step explanation:

fig.1 is no because "a" has more than one output therefore it's not a function.

fig. 2 is yes because "a,b,c,d" have different outputs but not more than one

try the rest by yourself. have a good day and remember don't get stressed over the little things

Answer:

It is 136

Step-by-step explanation:

[tex]h + {k}^{2} - j[/tex]

substitute respectively as in question:

[tex] = 3 + {(11)}^{2} - ( - 12)[/tex]

open brackets:

[tex] = 3 + 121 + 12 \\ = 136[/tex]

Answer:

136

Step-by-step explanation:

Given

h + k² - j ( substitute the given values into the expression ) , that is

3 + 11² - (- 12)

= 3 + 121 + 12

= 136

Answer:y-intercept = -20/5  =  -4  x-intercept = -20/4  =  -5

Step-by-step explanation:

Answer:

x- intercept = - 5, y- intercept = - 4

Step-by-step explanation:

The x- intercept is where the line crosses the x- axis.

The y- coordinate of any point on the x- axis is zero

Substitute y = 0 into the equation and solve for x

4x + 5(0) = - 20

4x = - 20 ( divide both sides by 4 )

x = - 5 ← x- intercept or (- 5, 0 ) in coordinate form

The y- intercept is where the line crosses the y- axis

The x- coordinate of any point on the y- axis is zero

Substitute x = 0 into the equation and solve for y

4(0) + 5y = - 20

5y = - 20 ( divide both sides by 5 )

y = - 4 ← y- intercept or (0, - 4 ) in coordinate form

Answer:

Yes of course I will help you

Answer:

Step-by-step explanation:

The three segments make a triangle with sides 6, 7 and 12 m.

We need to find the angle opposite to side 7 m.

Use the low of cosines to work out the angle x:

Answer:

Step-by-step explanation:

picture will show you all the explaination

Answer:

$25.94

Step-by-step explanation:

150 ÷ 24 = 6.25

6.25 × 4.15 = 25.9375

25.94

[tex]\\ \rm\longmapsto x-5=41[/tex]

[tex]\\ \rm\longmapsto x=41+5[/tex]

[tex]\\ \rm\longmapsto x=46[/tex]

Hence

[tex]\\ \rm\longmapsto 45<x<47[/tex]

Answer:

( 2, - 1 )

Step-by-step explanation:

( x - h )² + ( y - k )² = r²

( h, k ) are coordinates of the center of a circle with radius r

~~~~~~~~~

x² + y² - 4x + 2y - 11 = 0

( x² - 4x + 4 ) - 4 + ( y² + 2y  + 1 ) - 1 - 11 = 0

( x - 2 )² + ( y + 1 )² = 4²

Coordinates of the center of a circle are ( 2, - 1 )

Hi ;-)

[tex]\frac{v}{6}>11 \ \ /\cdot6\\\\\frac{6v}{6}>66\\\\v>66\\\\\huge\boxed{v\in(66;+\infty)}[/tex]

can this help you to solve it?

Answer:

32,072.0000

Step-by-step explanation:

Answer:

right

Step-by-step explanation:

use pathagorus theorem and we will get right angled triangle

Answer:

The answer is: The sum of x and y is a rational number.

Step-by-step explanation:

x is a rational number (any).

[tex]\frac{2}{3}[/tex] is a rational number too.

So, the sum of x and y will also be a rational number.

Answer:

A. 2•5(7.5+7.5+7.0)

b. -55

Answer:

is there by chance a photo reference?

Answer:

11 shelves

Step-by-step explanation: