Asap please ! In a state assembly, 35% of the legislators are Democrats, and the other 65% are Republicans. 70% of the Democrats favor raising sales tax, while only 40% of the Republicans favor the increase. If a legislator is selected at random from this group, what is the probability that they favor raising sales tax? Give your answer as a percentage rounded to the nearest tenth.

Probability of selecting a legislator who favors rising sales tax is 0.63

Step-by-step explanation:

Given

Percentage of legislators that are democrats = 0.35

Percentage of legislators that are Republicans = 0.70

All the democrats favor raise in sales tax , so their probability is 1

and only 40% of the Republicans favor raise in sales tax.

Probability of selecting a legislator who favors rising sales tax is

(0.35*1)+(0.70*0.40)

= 0.63

it will take 9 minutes                

(a) x intercepts: -6 and 2

you can obtain these by solving the equation 0=x^2 +4x-12 using your favorite quadratic formula. but it is easy to verify -6 and 2 indeed satisfy this equation.

(b) y intercept: -12

this is obtained by setting x=0: 0^2+4*0-12 = -12

(c) the minimum value is: -16 (this is the vertex)

you can get the vertex by rewriting the equation into the form:

there is no global or local maximum as the function goes to infinity, so only in the limit sense: +infinity.