If a data point has a corresponding z-score of -1.5, then it is one and a half standard deviations above the mean value. true or false?

False.

Step-by-step explanation:

We have been given a statement. We are asked to determine whether our given statement is true or false.

Statement:

If a data point has a corresponding z-score of -1.5, then it is one and a half standard deviations above the mean value.

We know that z-score represents that a data point is how many standard deviation above or below mean.

A negative z-score means that the given data point is below mean and a positive z-score means that the given data point is above mean.

Since our given z-score is , therefore, the data point will be standard deviation below mean and the given statement is false.

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