Find the probability $P(1 \leq Z \leq 2)$ for a standard normal random variable Z.

Using

$$f ( x ) = \cos x \text { or } f ( x ) = \sin x$$

as a guide, graph the function. Identify the period and asymptotes. j(x) = -2 csc x

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 $200 \mathrm{MPa}$ ?

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

Determine the cumulative distribution function of a binomial random variable with n=3 and p=1/4.

Determine the cumulative distribution function of a binomial random variable with n = 3 and p = 1/2.

Evaluate $\int_{0}^{n} [[x ]] d x$, where n is a positive integer.

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?

Perform the following metric-metric conversion.

$6.50 \mathrm{Tm}$ to $\mathrm{Mm}$

Write the numbers in given of the following sentences as decimals.
a. A flea has a body length about one sixteenth of an inch.
b. Venus orbits the sun about once every 224 and $\frac {7006} {10,000}$ days.

Define conversion feature; a call feature. What are stock purchase warrants?

Answer true of false for each part.

a. When you flip a coin ten times, you are more likely to get the sequence HHHHHTTTTT than the sequence HHHHHHHHHH.

b. When you flip a coin ten times, you are more likely to get a sequence that contains five heads than a sequence that contains ten heads.

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

Complete the conversion. Round to the nearest hundredth, if necessary. 5 L ≈  gal