Acompany that manufactures smartphones makes 70% of the phones with a touch screen and 55% of the phones with hd movie capability. 30% of the phones have both a touch screen and hd movie capability. what is the probability that a smartphone chosen at random has either a touch screen or hd movie capability?

Option: A is the correct answer.

Step-by-step explanation:

A company manufactures 70% touch screen phones.

55% have HD capability.

and 30% have both touch screen and HD capability.

Let A denote the touch screen phones.

B denote the HD capability.

C denote the both touch and HD capability.

Now we are asked to find the probability that a smartphone chosen at random has either a touch screen or HD movie capability:

i.e.. we have to find P(A∪B)

we know that:

P(A∪B)=P(A)+P(B)-P(A∩B)

Hence,

Hence, option: A is correct.

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x  

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer:   y=4x−16

hope i'm right