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Add one customer record with your last name using an INSERT statement. You may use the name of a celebrity or fictional character if you don’t use your own name. Think of this as your signature.

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Over the years, the mean customer satisfaction rating at a local restaurant has been 65 .The restaurant was recently remodeled, and now the management claims the mean customer rating is not equal to 65 .In a sample of customers 32 chosen at random, the mean customer rating is 74.5. Assume that the population standard deviation of customer ratings is 22.7. Is there enough evidence to support the claim that the mean customer rating is different from 65? Perform a hypothesis test, using the 0.10 level of significance.

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Divide and express the result in standard form.\\ $\frac{9i}{8-2i}$

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6. Write the product of the following oxidation reactions (if no reaction, write NR). a. $\text{CH}_3\text{-CH}_2\text{-CH}_2\text{-C(=O)\text{-H} + (O) \rightarrow$ b. $\text{CH}_3\text{CH}_2\text{C}(=\text{O})\text{H} + (O) \rightarrow$ c. $\text{C}_6\text{H}_{11}\text{C}(=\text{O})\text{CH}_3 + (O) \rightarrow$

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1. A real number is rational if and only if it can be written as $\frac{a}{b}$, where $a$ and $b$ are integers. Let $x$ and $y$ be two real numbers such that $xy \neq 0$. (a) Show, by contraposition, that if $x$ is irrational, then $x^{\frac{1}{5}}$ is irrational. (b) Show, by contradiction, that if $x$ is irrational and $xy$ is rational, then $y$ is irrational

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Let $A(x) = \int_0^x f(t) dt$, with $f(x)$ shown in the graph below. At what $x$ value(s) does $A(x)$ have a local max: $x = $ [Use commas to separate multiple values.] At what $x$ value(s) does $A(x)$ have a local min: $x = $ [Use commas to separate multiple values.] Restrict your responses to values $0 < x < 6$.

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Question 2. Suppose X is a random variable with the following probability density function. f(x) = \begin{cases} 6x & \text{if } 0 < x < z \\ 0 & \text{otherwise} \end{cases} Find P(0.5 < X < 0.9 \mid X > 0.5)

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3. (10 pts) The rod of the fixed hydraulic cylinder is moving to the left with a constant speed $v_A = 20$ mm/s. Determine the corresponding velocity of slider B when $s_A = 400$ mm. The length of the cord is 1000 mm, and the effects of the radius of the small pulley A may be neglected.

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Be sure you are comfortable performing the Unit Conversions: 1 fluid ounce = 29.6 milliliters (mL) 1 cup = 8 fluid ounces (oz) = 240 mL 1 pint = 2 cups = X quart 1 ounce mass = 1/16 pound (lb) = 28 grams (g) 1 gallon = 3.8 liters (L) 1 pound = 0.454 kilograms (kg) Nutrient-kcal Relationships: Fat: 9 kcal/g Carbohydrate: 4 kcal/g Protein: 4 kcal/g Alcohol: 7 kcal/g (not considered a nutrient but does provide kcal) A man weighs 220 pounds. What is his mass in kilograms? Answer: 100 kg How many cups are in a 16-ounce drink? Answer: 16 cups

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1. Under patent protection, a firm has a monopoly in its production. Market demand is estimated to be P = 600 - 0.3Q. The firm's economic costs are given by ATC = MC = $60 per unit. a. Determine the firm's optimal output, price and economic profit. 2 points b. After the firm's patent expires, predict the new market output and price under perfect competition. Assume that competing suppliers have the same economic costs as the original producer. What is the new market price, quantity, and total industry profit? 2 points c. Compute the resulting change in consumer surplus. 2 points d. Compute the resulting change in producer surplus. 1 point

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frank c.