A set of data items is normally distributed with a mean of 60 and a standard deviation of 8. Convert each data item to a z-score. 100

What is inertia, and why is it important in the laws of motion?

Solve the linear system using elimination.

$$\begin{array} { l } { - x + \frac { 1 } { 2 } y = - 19 } \\ { x - y = 12 } \end{array}$$

Use z scores to compare the given values.The tallest living man at the time of this writing is Sultan Kosen, who has a height of 251 cm. The shortest living man is Chandra Bahadur Dangi, who has a height of 54.6 cm. Heights of men have a mean of 174.12 cm and a standard deviation of 7 .10 cm. Which of these two men has the height that is more extreme?

Can the Doppler effect be observed with longitudinal waves, with transverse waves, or with both?

Describe how the focal length of a convex lens changes as the lens becomes more curved.

The product of two consecutive even integers is 224. Find the integers.

Prove that if p ones and q zeros are placed around a circle in an arbitrary manner, where p, q, and k are positive integers satisfying p$\geq$kq, the arrangement must contain at least k consecutive ones.

Suppose that electricity is draining from a capacitor at a rate that is proportional to the voltage V across its terminals and that, if t is measured in seconds, dV/dt = -V/40. Solve this equation for V, using V_0 to denote the value of V when t = 0. How long will it take the voltage to drop to 10% of its original value?

Consider a value to be significantly low if its z score is less than or equal to - 2 or consider the value to be significantly high if its z score is greater than or equal to 2.The ACT test is used to assess readiness for college. In a recent year, the mean ACT score was 21.1 and the standard deviation was 5.1. Identify the ACT scores that are significantly low or significantly high.

Write the decimal as a fraction or a mixed number.

$$- 1 . \overline { 63 }$$

A function f has derivative

$$f ^ { \prime } ( x ) = \frac { 1 } { x ^ { 4 } + 1 }.$$

Where on the interval [1, 4] does f take on its maximum value?

If your score on your next statistics test is converted to a $z$ score, which of these $z$ scores would you prefer: $-2.00,-1.00,0,1.00,2.00$? Why?

State the instructions of the function in words. R(r) = 3(2r + 5)