Roberto says that the opposite of a certain integer is -5. Cindy concludes that the opposite of an integer is always negative. Explain Cindy's error.

La mama de Miriam cocina. Miriam le lee receta. Completa las instrucciones de abajo con la forma

An access code is a sequence of 4 letters from the alphabet. How many codes are possible (a) If repetition of letters is allowed? (b) If repetitions are not allowed? (c) If there is at least one repetition?

Si el tren sali^o de Boston a las cinco de la tarde, ¿a qu^e hora llega a Washington, D.C.? (a las 9pm)

Explain how to use the correlation coefficient for a sample to determine if there is a correlation in the population.

Use an equivalent rate to convert 24 centiliters to liters.

Add or subtract as indicated. $\frac{5 y+13}{y+1}-\frac{1-7 y}{y+1}$

Calculate the average rate of change of $g(x)=\sqrt[3]{x}+3$ for $4\leq x \leq 7$

For

$$\mathbf{p}=\left( \begin{array}{l}{1} \\ {5}\end{array}\right), \quad \mathbf{q}=\left( \begin{array}{c}{-2} \\ {4}\end{array}\right) \quad \text { and } \quad \mathbf{r}=\left( \begin{array}{c}{-3} \\ {-1}\end{array}\right)$$

find: a. -3p b. $\frac{1}{2} \mathbf{q}$ c. 2p + q d. p – 2q e. $\mathbf{p}-\frac{1}{2} \mathbf{r}$ f. 2p + 3r g. 2q – 3r h. $2 \mathbf{p}-\mathbf{q}+\frac{1}{3} \mathbf{r}$

Calculate. $\int_{0}^{1/2}{{\cos}\pi x{\cos}\dfrac{1}{2}\pi x}dx$

Use synthetic substitution to evaluate the polynomial for the given value.

$$P ( x ) = 3 x ^ { 3 } + 5 x ^ { 2 } + 4 x + 2 \text { for } x = \frac { 1 } { 3 }$$

Write the inverse, converse, and contrapositive of the statement “If I turn my paper in late, then I will be penalized.”

The scores on a test are normally distributed with a mean of 100 and a standard deviation of 20. Find the score that is 1 standard deviation below the mean.

Three contestants are competing on a trivia game show. The table shows their scores before the final question.

$$\begin{array}{| l | l |} \text{Contestant} & \text{Score Before Final Question}\\ \text{Timothy} & \text{-25}\\ \text{Shawna} & \text{18}\\ \text{Kaylynn} & \text{-14}\\ \end{array}$$

a. How many points must Shawna earn for her score to be the opposite of Timothy's score before the final question? b. Which person's score is closest to 0? c. Who do you think is winning the game before the final question? Explain.