Find the following ratio by drawing a reference angle.

$\sin 480^{\circ}$

Find a numerical example to show that the given statement x - (3y + 4) = x - 3y + 4 is false. Then find the mistake in the statement and correct it.

Solve for x given $\dfrac{3}{\sqrt{2}}$x + $\dfrac{1}{\sqrt{2}}$ = $\sqrt{2}$. Remember Fraction Busters.

What can I do to lower my liver enzymes?

Juan and Michael used a graphing calculator to determine that the percent of hybrid cars that get less than 57 miles per gallon is approximately 69.15%. Juan entered values in standard deviation units, and Michael entered values in terms of miles per gallon.

Juan:

normalcdf (-9,0.5, 0.1) .6914624678

Michael:

normalcdf (0,57, 54,6) .6914624678

a. Explain why Juan and Carlos used different values but still got the same result.

b. Explain why Michael used O for the lower bound of the interval. Explain why Juan used -9 for the lower bound of the interval.

In the exercise below, find $f_{x x}, f_{x y}, f_{y x}$, and $f_{y y}$. (Remember that $f_{y x}$ means to differentiate with respect to y and then with respect to x.)

f(x, y) = 2x - 3y

Let $n_1=100, X_1=50, n_2=100$, and $X_2=30$.

Construct a 95 % confidence interval estimate for the difference between the two population proportions.

Approximate the given number by using a linear approximation.

$$\sqrt[4]{17}$$

Find the following ratio by drawing a reference angle.

$\sin 585^{\circ}$

Use the diagram. How can you determine $B D$ if you know $B C$ and $C D$ ? if you know $A B$ and $A D$ ?

Find the following ratio by drawing a reference angle.

$\sin 1200^{\circ}$

What is the process by which energy in glucose is converted and stored as ATP?

Coverage percent of $95 \%$ confidence interval. For this exercise, use the Confidence Interval applet. Set the confidence level at $95 \%$, and click the "Sample" button 10 times to simulate 10 confidence intervals. Record the percent hit (that is, percent of intervals including the population mean). Simulate another 10 intervals by clicking another 10 times (do not click the "Reset" button). Record the percent hit for your 20 intervals. Repeat the process of simulating 10 additional intervals and recording the results until you have a total of 200 intervals. Plot your results and write a summary of what you have found.

Describe a structural formula, and explain its use in differentiating isomers.