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Questions in Grade College

📝 Answered - Suppose that, on average, electricians earn approximately [tex]$\mu=$54,000[/tex] per year in the United States. Assume that the distribution for electricians' yearly earnings is normally distributed and that the standard deviation is [tex]$\sigma=$12,000[/tex] dollars. What is the probability that the average salary of four randomly selected electricians is more than [tex]$50,000[/tex] but less than [tex]$60,000[/tex]? A. 0.8413 B. 0.7486 C. 0.5889 D. 0.9048

📝 Answered - Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. [tex](x-7)(x+2)\ \textgreater \ 0[/tex]

📝 Answered - Use the remainder theorem to find the remainder when [tex]$f(x)$[/tex] is divided by [tex]$x-2$[/tex]. Then use the factor theorem to determine whether [tex]$x-2$[/tex] is a factor of [tex]$f(x)$[/tex]. [tex]$f(x)=2 x^3-2 x^2-5 x+9$[/tex]

📝 Answered - What criteria are used to classify fires? A. The type of materials that are on fire (what is fueling the fire) B. The size of the fire and how fast it is spreading C. The location of the nearest fire extinguisher D. All of the above

📝 Answered - Type the correct answer in the box. Round your answer to the nearest hundredth. Find the solution to the equation using a table of values. [tex]|2 x-1|=\sqrt{x}+3[/tex] The solution to the equation is [tex]x=[/tex] $\square$.

📝 Answered - What is the prime factorization of $36 ?$ A. $36=2 \times 2 \times 9$ B. $36=3 \times 3 \times 4$ C. $36=2 \times 2 \times 3 \times 3$ D. $36=2 \times 2 \times 2 \times 3$

📝 Answered - Select all that apply. Contraceptive implants are characterized by which of the following? A. They deliver a dose of estrogen and progesterone compounds. B. Implantation is approved for 10 years of use. C. They deliver a dose of progestin. D. They are placed in the upper arm.

📝 Answered - Which expression represents all the values of $x$, when $x$ is the age ranging from 18 to 24 years old? A. $(x<18)$ and $(x>24)$ B. $(x>=18)$ and $(x<=24)$ C. $(x<18)$ or $(x>24)$ D. $(x>=18)$ or $(x<=24)$

📝 Answered - Select the correct slope and $y$-intercept for the following linear equation: $y=-2 x+4$

📝 Answered - An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?