Where on the ribosome do tRNAs bind, and what is the energy source that supports translocation?

A random variable X has probability distribution P(X = x) = k(x +1) for x = 2,3,4,5,6. (a) Show that k =0.04. (b) Find E(X).

Determine whether the function is a linear transformation. $T: R^{3} \rightarrow R^{3}, T(x, y, z)=(x+y, x-y, z)$

Suppose that the random variable $x$ has an exponential distribution with $\lambda=2$.

Find $P(.25 \leq x \leq 1).$

Let X be a continuous random variable with density function $f(x)=3 x^{-4}, x \geq 1$. Compute E(X) and Var(X).

For each of the following, make the indicated conversion, showing explicitly the conversion factor(s) you used.

f. $5.24 \mathrm{~oz}$ to grams

What are two reasons that the fossil record is not complete?

Saturn's average distance from the Sun is one billion, four hundred twenty-seven million kilometers. Use digits to write that distance.

Use Minitab to assist you in answering the following. (a) Estimate the regression coefficients. Write the multiple linear regression model. Comment on the relationship found between the set of independent variables and the dependent variable. (b) Compute the residuals. (c) Compute SSE and estimate the variance. (d) Compute the coefficient of determination, R2, and adjusted coefficient of multiple determination $R_{\text { Adjusted: }}^{2}.$ Comment on their values. (e) Construct the ANOVA table and test for significance of regression. Comment on your results. (f) Find the standard error of the individual coefficients. (g) Use a t-test to test for significance of the individual coefficients at $\alpha = 0.05.$ Comment on your results. (h) Construct 95% CIs on the individual coefficients. Compare your results with those found in part (g) and comment. (i) Perform a model adequacy check, including computing studentized residuals and Cook’s distance measure for each of the observations. Comment on your results. (j) Compute the variance inflation factors and comment on the presence of multicollinearity. Consider the MPG data. To investigate fuel efficiency, the following data were collected.

$$\begin{matrix} \text{MPG, y} & Weight, x_1 & Horsepower, x_2 & \text{MPG, y} & Weight, x_1 & Horsepower, x_2\\ \text{29.25} & \text{2464} & \text{130} & \text{17.00} & \text{4024} & \text{394}\\ \text{21.00} & \text{3942} & \text{235} & \text{17.00} & \text{3495} & \text{294}\\ \text{32.00} & \text{2604} & \text{110} & \text{18.50} & \text{4300} & \text{362}\\ \text{21.25} & \text{3241} & \text{260} & \text{16.00} & \text{4455} & \text{389}\\ \text{26.50} & \text{3283} & \text{200} & \text{10.50} & \text{3726} & \text{485}\\ \text{23.00} & \text{2809} & \text{240} & \text{12.50} & \text{3522} & \text{550}\\ \end{matrix}$$

(a)Create two scatter diagrams of the data. What do you anticipate will be the sign of each sample correlation coefficient? (b) Compute and interpret the two sample correlation coefficients.

A wheel is rotating at $50$ revolutions per minute. Find the angular speed in radians per second.

Find the function f given that the slope of the tangent line to the graph of fat any point (x, f(x)) is f’(x) and that the graph of f passes through the given point. $f^{\prime}(x)=\frac{2}{x}+1 ;(1,2)$

Which energy source is NOT nondepletable? (a) Wind, (b) Biomass, (c) Tidal, (d) Solar, (e) Hydroelectric.

Consider the conversion of acetylene to benzene:

$$3 \mathrm{C}_2 \mathrm{H}_2(\mathrm{~g}) \longrightarrow \mathrm{C}_6 \mathrm{H}_6(l)$$

Acetylene Benzene Is a catalyst for this reaction possible? Is it possible to synthesize benzene from graphite and gaseous $\mathrm{H}_2$ at $25^{\circ} \mathrm{C}$ and $1 \mathrm{~atm}$ pressure?

The amount of heat $H$ (in joules) required to convert one gram of water into vapor is linearly related to the temperature $T$ (in ${ }^{\circ} \mathrm{C}$ ) of the atmosphere. At $10^{\circ} \mathrm{C}$ this conversion requires 2480 joules, and each increase in temperature of $15^{\circ} \mathrm{C}$ lowers the amount of heat needed by 40 joules. Express $H$ in terms of $T$.