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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

Find all values of x satisfying the given conditions.

$$\left. \begin{array} { l } { y _ { 1 } = 10 ( 2 x - 1 ) , y _ { 2 } = 2 x + 1 , \text { and } y _ { 1 } \text { is } 14 \text { more than } 8 \text { times } y _ { 2 } . } \end{array} \right.$$

Use ZPP. Find all the solutions to each equation. a. $(x-2)(x+1) = 0$ b. $(2x-3)(x+5) = 0$ c. $3x(x+8) = 0$ d. $x^2-4x = 0$

Factor each polynomial. $3 x^{2}+4 x+1$

Solve the linear system using elimination.

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

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

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?

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?