According to a recent survey, 50% of people aged 13 and older in the united states are addicted to texting. to simulate choosing a random sample of 20 people in this population and seeing how many of them are addicted to texting, use a deck of cards. shuffle the deck well, and then draw one card at a time. a red card means that person is addicted to texting; a black card means he isn’t. continue until you have drawn 20 cards (without replacement) for the sample.

It is not valid 49.02% instead of 50%

Step-by-step explanation:

If you don't replace the cards,the probability of obtaining a person that is addicted to email is no longer 50% after the first drawn card.

If you drawn a red card there are 25 red cards and 26 black cards then the probability of 25/25+26=25/51 ≅0.4902 = 49.02 instead of 50%

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)