Suppose that a couple will have three children. Letting $B$ denote a boy and $G$ denote a girl:

Assuming that all sample space outcomes are equally likely, find the probability of each of the events given in part $b$.

Find the average value of the given function over the indicated interval.

$g(v)=v e^{-v^2} ;$ over $0 \leq v \leq 2$

In this exercise, find the product.

(x + 1)(x - 2)(x + 6)

Twelve boys were playing soccer. If 60% of the children playing soccer were boys, how many children were playing soccer?

The percent composition of vanadium oxide is 68.0% V and 32.0% O. Calculate the empirical formula.

To practice making a figure eight, a figure skater will skate along two circles etched in the ice. Write equations for two externally tangent circles that are each 6 feet in diameter so that the center of one circle is at the origin and the center of the other circle is on the positive y-axis.

Find the given product.

$$(3 n-4)(n+5)$$

El señor Zavala e Isabel no están de acuerdo. Prepara la conversación. Luego preséntasela a la clase

modelo:

ir al museo

Isabel: No quiero ir al museo.

Señor Zavala: Quiero que vayas al museo.

• conocer a los otros huéspedes

Translate "Five more than the product of seven and y" into a variable expression or an equation.

The mean height of children of a certain age is 136 cm .12% of children have a height of 145 cm or more. Find the standard deviation of the heights.

Determine whether the equation represents an ellipse, a parabola, or a hyperbola. If the graph is an ellipse, find the center, foci, and vertices. If it is a parabola, find the vertex, focus, and directrix. If it is a hyperbola, find the center, foci, vertices, and asymptotes. Then sketch the graph of the equation. $2 x+y^{2}+8 y+8=0$

What is the convection mass transfer coefficient associated with fully developed atmospheric airflow at $27^{\circ} \mathrm{C}$ and 0.04 kg/s through a 50-mm-diameter tube whose surface has been coated with a thin layer of naphthalene? Determine the velocity and concentration entry lengths.

A clean air standard needs that vehicle exhaust emissions not exceed specified limits for various pollutants. Many states need that cars to be tested annually to be sure they meet these standards. Assume state regulators double-check a random sample of cars that a suspect repair shop has certified as okay. They will revoke the shop's license if they find significant proof that the shop is certifying vehicles that do not meet standards.

a) In this context, what is a Type I error?

Consider the functions $f(x)=3 x^{2}-5$ and $g(x)=\sqrt{x-5}+2$. What is it about the functions f(x) and g(x) that cause one domain to be more restrictive than the other?