"Cyber Monday is a huge online shopping day. In 2017, approximately 21% of Cyber Monday shoppers used their mobile device to make a purchase. If a person used a mobile device to make a purchase, the probability of making a purchase from Amazon was .55. Suppose a Cyber Monday purchase is selected at random. What is the probability that the purchase was made with a mobile device and was from Amazon."

11.55% probability that the purchase was made with a mobile device and was from Amazon.

Step-by-step explanation:

We have these following probabilities:

21% probability that a Cyber Monday shopper used their mobile device to make a purchase.

55% probability that a purchase made with a mobile device is from Amazon.

What is the probability that the purchase was made with a mobile device and was from Amazon."

55% of 21%

So

P = 0.21*0.55 = 0.1155

11.55% probability that the purchase was made with a mobile device and was from Amazon.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

sine

step-by-step explanation: