Simplify 4(3x -2y) + 3 (4x - 3y)

24x-17y

Step-by-step explanation:

12x-8y+12x-9y

please mark branliest

24x−17y

Step-by-step explanation:

4(3x−2y)+3(4x−3y)

Distribute:

=(4)(3x)+(4)(−2y)+(3)(4x)+(3)(−3y)

=12x+−8y+12x+−9y

Combine Like Terms:

=12x+−8y+12x+−9y

=(12x+12x)+(−8y+−9y)

=24x+−17y

=24x−17y

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560