Slader the final exam of a discrete mathematics course consists of 50 true/false questions, each worth two points, and 25 multiple-choice questions, each worth four points. the probability that linda answers a true/false question correctly is 0.9, and the probability that she answers a multiple-choice question correctly is 0.8. what is her expected score on the final?

170

Step-by-step explanation:

According to the given information,

Number of true/false questions = 50

Number of multiple-choice questions = 25

Worth of each true/false question = 2

Worth of each multiple-choice question = 4

Using this information we get

Total marks of true/false questions = 50 × 2 = 100

Total marks of multiple-choice questions = 25 × 4 = 100

It is given that Linda answers a true/false question correctly is 0.9, and the probability that she answers a multiple-choice question correctly is 0.8.

Expected marks of true/false questions = 100 × 0.9 = 90

Expected marks of multiple-choice questions = 100 × 0.8 = 80

Slader expected score on the final is

Expected score = 90+80=170

Therefore, the expected score on the final is 170.

29 is the correct answer

step-by-step explanation:

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: