A married couple decides to have children until they gel a girl, but they agree that they will not have more than 3 children even if all are boys. Assuming that boy and girl children are equally likely, create a probability model for the number of children such couples may have.

The number of days p it takes a planet in our solar system to make one revolution around the Sun is about $p=2 \cdot 10^{-10} r^{\frac{3}{2}}$, where $r$ is the mean orbital radius in kilometers. How far would a planet have to be from the Sun to take 10,000 days for a revolution?

In each of the following sentences, circle any pronoun with an ambiguous reference. Then, on the line provided, rewrite the sentence to correct the ambiguous pronoun reference. After my parents and my friends met, they)acted as if they had always known them,

Find the equation of the circle with radius 3 and center $C(-2,4)$.

In each of the following sentences, circle any pronoun with an ambiguous reference. Then, on the line provided, rewrite the sentence to correct the ambiguous pronoun reference. Ms. Nguyen went with my aunt to the cakewalk that would benefit her favorite charity.

A family decides to have children until it has three children of the same gender. Assuming P(B)=P(G)=.5, what is the pmf of X=the number of children in the family?

According to Riis, why should all Americans be concerned about tenement children?

Knowing that the uitimate Ioad for cable $B D$ is $100 \mathrm{kN}$ and that a factor of safety of $3.2$ with respect to cable failure is required, determine the magnitade of the largest force $\mathbf{P}$ that can be safely applied as shown to member $A B C$.

A firm also needs to decide how many workers to hire. To see how a firm makes this decision, you need to understand the law of diminishing marginal returns. Fill in the blanks in question with the correct answers. According to the law of diminishing marginal returns, if additional units of one ______________, such as labor, are added to another ____________, in fixed supply, such as capital, eventually the additional output (produced as a result of hiring an additional worker) will ________.

Use the position function $s(t)=-16t^2+v_0t+s_0$ for free-falling objects.

A silver dollar is dropped from the top of a building that is $1362$ feet tall.

(b) Determine the average velocity on the interval $[1,2]$

From the graph of g, state the intervals on which g is continuous.

Write the standard form of the equation of the specified circle. Center: (0, 0); radius: 5

Differentiate the functions. $y=\frac{x^{7}}{7}$

A recently retired couple needs $12,000 per year to supplement their Social Security. They have$150,000 to invest to obtain this income. They have decided on two investment options: AA bonds yielding 10% per annum and a Bank Certificate yielding 5%. If, after 2 years, the couple requires $14,000 per year in income, how should they reallocate their investment to achieve the new amount?