an authorized attempt to gain unauthorized access to a computer system, application, or data. Carrying out an athical hack involves duplicating strategies and actions of malicious attackars. .- Also known as "white hats," ethical hackers are security experts that perform theas assesements.

Which one of the following hypotheses is/are valid? 1. \( H_{0}: \mu \leq 100 ; H_{1}: \mu \geq 100 \) 2. \( H_{0}: \mu=120 ; H_{1}: \mu \neq 120 \) 3. \( H_{0}: \mu \neq 130 ; H_{1}: \mu=130 \) 4. \( H_{0}: \bar{X} \leq 210 ; H_{1}: \bar{X}>210 \) 5. \( H_{0}: p \neq 0.42 ; H_{1}: p=0.42 \)

Consider a binomial experiment with \( n=160 \) that has resulted in 40 successes. The \( 95 \% \) confidence interval for the population proportion of successes is

Let \( f(x)=\frac{\mu}{\ln x} \) for \( x>1 \) (a) Derive expressions for \( f^{\prime}(x) \) and \( f^{\prime \prime}(x) \), simplifying your answers. (b) Obtain the coordinates and nature of the stationary point of the curve \( y=f(x) \). (c) Obtain the coordinates of the point of inflexion.

Lesson 14: What Do You Know About Polynomials? Cool Down: How Would You Factor? A polynomial \( D(x)=3 x^{3}-2 x^{2}-15 x+14 \) has known factors \( (x-2) \) and \( (x-1) \). Would you use a diagram, long division, or some other method to rewrite the expression for D in factored form? Explain your reasoning.

4. \( 4^{x}-3 \cdot 2^{x}-4=0 \)