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Questions in mathematics

📝 Answered - Find the maximum value of the function [tex]f ( x )=x^3+3 x^2-9 x +1[/tex] (a) 12 (b) 28 (c) -4 (d) 1

📝 Answered - What's the fraction $18 / 24$ reduced to its lowest terms?

📝 Answered - Which of the following is true regarding the solutions to the logarithmic equation below? [tex] \begin{aligned} 2 \log _6(x) & =2 \ \log _6(x^2) & =2 \ x^2 & =6^2 \ x^2 & =36 \ x & =6,-6 \end{aligned} [/tex] A. [tex]x=6[/tex] and [tex]x=-6[/tex] are true solutions B. [tex]x=6[/tex] and [tex]x=-6[/tex] are extraneous solutions C. [tex]x=6[/tex] is a true solution and [tex]x=-6[/tex] is an extraneous solution D. [tex]x=6[/tex] is an extraneous solution and [tex]x=-6[/tex] is a true solution

📝 Answered - How many steps are in the calculation of standard deviation from the mean?

📝 Answered - Find the expected mean of this probability distribution. | x | 0 | 2 | 4 | 6 | 8 | |---|---|---|---|---|---| | p(x) | 1 / 5 | 1 / 5 | 1 / 5 | 1 / 5 | 1 / 5 | A. 5.6 B. 6 C. 4 D. 3.8

📝 Answered - If [tex]f(x)=x^3[/tex] then find [tex]\frac{f(x)-f(2)}{x-2}[/tex] A. [tex]x^2+2 x+4[/tex] B. [tex]x^2+4 x+4[/tex] C. [tex]x^2+2 x[/tex] D. [tex]x^2-2 x[/tex]

📝 Answered - Given two dependent random samples with the following results: | Population 1 | 31 | 17 | 38 | 45 | 16 | 21 | 32 | |---|---|---|---|---|---|---|---| | Population 2 | 44 | 23 | 43 | 34 | 22 | 33 | 38 | Use this data to find the [tex]$90 \%$[/tex] confidence interval for the true difference between the population means. Assume that both populations are [tex]$n$[/tex]. Step 4 of 4: Construct the [tex]$90 \%$[/tex] confidence interval. Round your answers to one decimal place.

📝 Answered - Determine whether the normal distribution can be used to compare the following population proportions. [tex]$n_1=44, \quad n_2=45, \quad \hat{p}_1=0.523, \quad \hat{p}_2=0.689$[/tex] Are the conditions for using the normal distribution met?

📝 Answered - Which equation is equivalent to $\log _3(x+5)=2 ?$ $3^2=\left[\log _3(x+5)\right]^3$ $2^3=\left[\log _3(x+5)\right]^2$ $3^2=x+5$ $2^3=x+5$

📝 Answered - A salesperson earns a base salary of $1300 per month, plus a commission equal to 8% of her total sales for the month. Complete the chart by calculating both the salesperson's commission for each monthly sales total and their total monthly earnings. | Monthly Sales Total | Commission Earned | Total Monthly Earnings | |---|---|---| | $0 | $$\square$$ | $$\square$$ | | $1000 | $$\square$$ | $$\square$$ | | $2000 | $$\square$$ | $$\square$$ | | $3000 | $$\square$$ | $$\square$$ | Is her monthly income a linear function of his monthly sales? A. Yes, because her monthly income grows by $0.08 for every dollar she sells. This is a constant growth rate. B. No, because her monthly income grows by a different amount for every dollar she sells. This is not a constant growth rate.