Complete each conversion. $\frac{3}{4}$ year=$\square$ weeks

Define a success in this context, and define the random variable X of interest. What is the probability of success?

Define the random variable of interest: X = number of _____. Is X binomial? Geometric? Justify your answer.

Let x be a binomial random variable with n=7 and p=.5. Find the values of the quantities.

$$P(x=4)$$

Write the equality and conversion factors for the following pair of unit: dimes and dollars.

Anton van Leeuwenhoek, a $17^{\text {th }}$-century pioneer in the use of the microscope, described the microorganisms he saw as "animalcules" whose length was " 25 thousandths of an inch." How long were the animalcules in meters?

In the "Fosbury flop" method of high jumping, named for the track and field star Dick Fosbury, an athlete's center of mass may pass under the bar while the athlete's body passes over the bar. Explain how this is possible.

For this exercise, state the reason why we label the mean of a random variable X as $\mu_X$?

The ___ is a fat-filled cavity just inside the kidney's hilum.

One $3.2-\mathrm{kg}$ paint bucket is hanging by a massless cord from another 3.2-kg paint bucket, also hanging by a massless cord, as shown in Fig. 4-41. If the buckets are at rest, what is the tension in each cord?

As seen , collar $D$ is released from rest and slides without friction downward a distance of $h=300 \mathrm{~mm}$ where it strikes a head fixed to the end of compound rod $A B C$. Rod segment (1) is made of aluminum $\left[E_1=70 \mathrm{GPa}\right.$, and it has a length of $L_1=800 \mathrm{~mm}$ and a diameter of $d_1=12 \mathrm{~mm}$. Rod segment (2) is made of bronze [ $\left.E_2=105 \mathrm{GPa}\right]$, and it has a length of $L_2=1,300 \mathrm{~mm}$ and a diameter of $d_2=16 \mathrm{~mm}$. What is the allowable mass for collar $D$ if the maximum normal stress in the aluminum rod segment must be limited to $200 \mathrm{MPa}$ ?

A pizza restaurant features ten different kinds of toppings. When you order a quadruple pie, you get to pick four toppings on your pizza. a. How many different quadruple pizzas can be made if the four toppings must be different? b. How many different quadruple pizzas can be made if toppings may be repeated (e.g. onions, olives, and double mushrooms, or triple anchovies and garlic).

Write with positive exponents.

$$9y^{-2}=\underline{\qquad\qquad\qquad}$$

The SI unit of electric potential difference is the (a) joule, (b) newton per coulomb, (c) newton-meter, (d) joule per coulomb.