El costo de la mano de obra y del material con que se fabrica este producto es de \( \$ 10 \) por unidad y los costos fijos son de \( \$ 1500 \) al mes. Encuentre la Utilidad MARGINAL cuando se han producido y vendido 10 unidades del artículo.

Here are summary statistics for randomly selected weights of newborn girls: \( \mathrm{n}=36, \overline{\mathrm{x}}=3180.6 \mathrm{~g}, \mathrm{~s}=700.5 \mathrm{~g} \). Use a confidence level of \( 90 \% \) to complete parts (a) through (d) below. a. Identify the critical value \( \mathrm{t}_{\alpha / 2} \) used for finding the margin of error. \( \mathrm{t}_{\alpha / 2}=\square \) (Round to two decimal places as needed.)

Linda deposits \( \$ 90,000 \) into an account that pays \( 4 \% \) interest per year, compounded annually. Bob deposits \( \$ 90,000 \) into an account that also pays \( 4 \% \) per year. But it is simple interest. Find the interest Linda and Bob earn during each of the first three years. Then decide who earns more interest for each year. Assume there are no withdrawals and no additional deposits.

\( E=6 c^{2}-2 c-1 \) \( F=-4 c^{2}+7 c+5 \) \( E+F=\square \) Your answer should be a polynomial in standard form.

Use the accompanying data set to complete the following actions. a. Find the quartiles. b. Find the interquartile range. c. Identify any outliers. a. Find the quartiles. The first quartile, \( Q_{1} \), is \( \square \). The second quartile, \( Q_{2} \), is \( \square \). The third quartile, \( Q_{3} \), is \( \square \). (Type integers or decimals.)

Which \( r \)-value represents the strongest correlation?