If a data value in a normal distribution has a negative z-score, which of the following must be true? a)the data value must be negative. b)the data value must be positive. c)the data value must be less than the mean. d)the data value must be greater than the mean.

The correct answer option is C) The data value must be less than the mean.

Step-by-step explanation:

If the data value in a normal distribution has a negative z score, it means that the data value must be less than the mean.

The formula of the z score is given by:

When the numerator of the above given expression is negative then the z value is also negative. And the numerator will only be negative in the case where the mean is greater than the data value.

Therefore, option C is the correct answer.

answer: i cant see the picture

step-by-step explanation:

can u take a better picture

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!