Explain how standardized recipes help maintain product consistency.

If a fair coin is used, what is the probability that one toss will result in either heads or tails? Explain why your answer makes sense.

Last year in November it rained 18 days, snowed 2 days, and there was no precipitation on the other 10 days. Based on those observations, what is the experimental probability that it will rain on a random day in November of this year?

Locate a muffin recipe or formula and prepare it using the specified flour type. Then, prepare the recipe again using a different flour type. What are the differences in the two muffins? Write a summary of your findings.

Use the fact that for a power function $y = k x ^ { n },$ for small changes, the percent change in output y is approximately n times the percent change in input x. An error of 5% in the measurement of the radius r of a circle leads to what percent error in the area A?

g is related to one of the parent functions described in Section 1.6. Identify the parent function f. g(x) = -x^3 - 1

Solve the equation.

$$\frac { 7 } { 4 } | 3 j + 5 | + 1 = 15$$

Imagine that you are a policymaker trying to decide whether to reduce the rate of inflation. To make an intelligent decision, what would you need to know about inflation, unemployment, and the trade-off between them?

Let n be a positive integer greater than 2. Show that the points $e 2 ^ { \pi i k / n } , k = 0,1 , \ldots , n - 1$, form the vertices of a regular polygon.

Graph the function. Then use the function’s first derivative to explain what you see. y = x^(2/3) + (x - 1)^(1/3)

$$\int_{0}^{\pi / 4} \sec x[\sec x+\cos x) d x$$

Evaluate the algebraic expression for the given value or values of the variables.

$$x ^ { 2 } + 9 ; x = 3$$

Write three numbers greater than 20 that match each description. Divisible by 3, but not divisible by 5, 9, or 10.

Sofia's car gets an average of 24 miles per gallon. Gas costs $\$2.11$ per gallon. a. How much does it cost to travel 200 miles? To travel 400 miles? b. Write a rule that gives the cost of the trip when you know how many miles the trip is.