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diamong [38]
3 years ago
7

Find a, (x-3) + (x-a) = 15

Mathematics
1 answer:
slega [8]3 years ago
8 0

a = 2x - 18

remove the parenthesis and simplify

x - 3 + x - a = 15

2x - 3 - a = 18 ( add 3 to both sides

2x - a = 18 ( subtract 2x from both sides )

- a = 18 - 2x ( multiply through by - 1 )

a = - 18 + 2x

a = 2x - 18


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An item is regularly priced at $51. Amanda bought it on sale for 85% off the regular price. How much did Amanda pay?
siniylev [52]

Answer:

85% off $51 is $43.35 which equals to $7.65

Amanda paid only $7.65 for the 85% off the original price.

Step-by-step explanation:

4 0
3 years ago
We have two fair three-sided dice, indexed by i = 1, 2. Each die has sides labeled 1, 2, and 3. We roll the two dice independent
Nikitich [7]

Answer:

(a) P(X = 0) = 1/3

(b) P(X = 1) = 2/9

(c) P(X = −2) = 1/9

(d) P(X = 3) = 0

(a) P(Y = 0) = 0

(b) P(Y = 1) = 1/3

(c) P(Y = 2) = 1/3

Step-by-step explanation:

Given:

- Two 3-sided fair die.

- Random Variable X_1 : Result on 1st die.

- Random Variable X_2: Result on 2nd die.

- Random Variable X = X_2 - X_1.

Solution:

 

- Possible outcomes of X : { - 2 , -1 , 0 ,1 , 2 }

- The corresponding probabilities for each outcome are:

                 ( X = -2 ):  { X_2 = 1 , X_1 = 3 }  

                P ( X = -2 ):  P ( X_2 = 1 ) * P ( X_1 = 3 )  

                                :  ( 1 / 3 ) * ( 1 / 3 )  

                                : ( 1 / 9 )    

                ( X = -1 ):  { X_2 = 1 , X_1 = 2 } + { X_2 = 2 , X_1 = 3 }

                P ( X = -1 ):  P ( X_2 = 1 ) * P ( X_1 = 3 ) + P ( X_2 = 2 ) * P ( X_1 = 3)

                                :  ( 1 / 3 ) * ( 1 / 3 ) + ( 1 / 3 ) * ( 1 / 3 )

                                : ( 2 / 9 )        

 ( X = 0 ):  { X_2 = 1 , X_1 = 1 } + { X_2 = 2 , X_1 = 2 } +  { X_2 = 3 , X_1 = 3 }

               P ( X = -1 ):3*P ( X_2 = 1 )*P ( X_1 = 1 )

                                :  3*( 1 / 3 ) * ( 1 / 3 )

                                : ( 3 / 9 ) = ( 1 / 3 )        

                  ( X = 1 ):  { X_2 = 2 , X_1 = 1 } + { X_2 = 3 , X_1 = 2 }

               P ( X = 1 ): 2* P ( X_2 = 2 ) * P ( X_1 = 1 )

                                : 2* ( 1 / 3 ) * ( 1 / 3 )

                                : ( 2 / 9 )

                  ( X = 2 ):  { X_2 = 1 , X_1 = 3 }

                 P ( X = 2 ):  P ( X_2 = 3 ) * P ( X_1 = 1 )  

                                   :  ( 1 / 3 ) * ( 1 / 3 )  

                                   : ( 1 / 9 )                  

- The distribution Y = X_2,

                         P(Y=0) = 0

                         P(Y=1) =  1/3

                         P(Y=2) = 1/ 3

- The probability for each number of 3 sided die is same = 1 / 3.

8 0
3 years ago
Sort each unit into the box indicating what it measures.
nadezda [96]

The sorting as been done below:

<h3>What is Unit?</h3>

A unit of measurement is a quantity used as a standard to expressed a physical quantity.

Volume: Millimeter , Kiloliter

Length: Yard, Quart

Weight/Mass: Centigram, Ounce.

Learn more about this here:

brainly.com/question/13752528

#SPJ1

5 0
1 year ago
65 POINTS!!! The price of an Ipad is $499. It is on sale for 18% off at the Apple Store on Mac Monday's. Find the Sales price yo
sineoko [7]

Answer:

The student added the discount instead of subtracting the discount.

They also did not calculate the tax correctly.

Step-by-step explanation:

Original price is 499

Discount = original price * percent off

Discount = 499 * .18

               =89.82

The sale price = original price minus the discount

sale price = 499-89.82

sale price = 409.18

Sales tax = sale price * tax rate

                = 409.18 * 8.875%

                =409.18*.08875

                 =36.314725

Rounding to the nearest cent

                     36.31

Final cost = sale price + sales tax

                  =409.18+36.31

                   445.49

The student added the discount instead of subtracting the discount.

They also did not calculate the tax correctly.

6 0
3 years ago
The
m_a_m_a [10]

Answer:

F) standard form

Step-by-step explanation:

4 0
3 years ago
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