Repeat the above problem for the peaks at $45 \mathrm{u}$ and $104 \mathrm{u}$.

Use an integer or decimal to express each number in bold-face print representing a change or measurement in each of the following.

Between $2011$ and $2012$, the number of movie screens in the United States increased by $209$.

Indicate which character says each of these lines. Write D for David, A for Amina, $\mathrm{S}$ for Sandrine, or $\mathbf{P}$ for Pascal.

Je vais passer chez Amina pour bavarder avec elle.

What is the time complexity of inserting an element into a BST?.

The arrival times of workers at a factory first-aid room satisfy a Poisson process with an average of 1.8 per hour. $\mathbf{(a)}$ What is the distribution of the time between the first arrival of the day and the fourth arrival? $\mathbf{(b)}$ What is the expectation of this time? $\mathbf{(c)}$ What is the variance of this time? $\mathbf{(d)}$ By using (i) the gamma distribution and (ii) the Poisson distribution, show how to calculate the probability that this time is longer than 3 hours.

The residuals for 10 consecutive time periods are as follows:

$$\begin{array}{cc|cc} \text{Time Period} & \text{Residual} & \text{Time Period} & \text{Residual} \\ \hline 1 & -5 & 6 & +1 \\ 2 & -4 & 7 & +2 \\ 3 & -3 & 8 & +3 \\ 4 & -2 & 9 & +4 \\ 5 & -1 & 10 & +5 \end{array}$$

a. Plot the residuals over time. What conclusion can you reach about the pattem of the residuals over time?

b. Based on (a), what conclusion can you reach about the autocorrelation of the residuals?

Let $f(x)=x^3$ in given figure.

Find the Riemann sum for the integral in problem eigth, using as sample points the values of c you found in the last problem . Keep all the decimal places. How does this sum compare with the exact integer answer you conjectured in earlier problem ?

In given problem, find the limits

$$\lim _{x \rightarrow 0^{-}} \frac{|x|}{x}$$

A small fast-food restaurant invests $10,000 to produce a new food item that will sell for$3.99. Each item can be produced for $1.90. How many items must be sold to make a profit of$12,000?

A capacitor stores a charge of $30 \mu \mathrm{C}$ when the pd across it is $15 \mathrm{~V}$. Calculate the energy stored by the capacitor when the pd across it is $10 \mathrm{~V}$.

A typical capacitor in an MP3 player has $C=0.10 \mu \mathrm{F}$. If a charge $\pm 5.0 \mu \mathrm{C}$ is placed on the plates, what is the voltage across the capacitor?

A certain company believes that 95% of its job applicants are trustworthy. The company gives everyone a polygraph test, asking, "Have you ever stolen anything from your place of work?" Naturally, all the applicants answer "No," but the polygraph identifies some of those answers as lies, making the person ineligible for a job. What's the probability that a job applicant rejected under suspicion of dishonesty was actually trustworthy?

Find the distance between $(5,8)$ and $(-1,5)$.

Use set-builder notation to write the set.

$$\{0,1,2,3,4\}$$