A single candy of this type is selected at random from a newly opened bag. What is the probability that the candy has the given color(s)? Not red

A single candy of this type is selected at random from a newly-opened bag. What is the probability that the candy has the given color(s)?

Red, green, or orange

Use a sum or difference identity to find an exact value.

$$tan\dfrac{11π}{12}$$

The sum of any row of Pascal’s triangle is an even integer. Justify your answer.

Mary weeded her flower garden. She found that the ratio of dandelions to marigolds in the garden was 11 to 4. If there were 44 marigolds in the garden, how many dandelions were there?

In the mentioned example, we performed a simulation to determine what proportion of a sample of 100 travelers would get the "green light" in Customs at Guadalajara airport. Suppose the Customs agents say that the probability that the light shows green is 0.7 on each push of the button. You observe 100 passengers at the Customs "stoplight." Only 65 get a green light. Does this give you a reason to doubt the Customs officials?

Describe the shape, center, and spread of the sampling distribution of $\hat{p}$ for samples of n=100 passengers.

A red die and a green die have been rolled. What is the probability of the event? Both numbers are even.

A red die and a green die have been rolled. What is the probability of the event? The sum is 7 or 11.

A red die and a green die have been rolled. What is the probability of the event?

A matrix $A$ is given. Find, if possible, an invertible matrix $P$ and a diagonal matrix $D$ such that $A=PDP^{-1}$. Otherwise, explain why $A$ is not diagonalizable.

$$\begin{bmatrix}-3&&0&&-5\\0&&2&&0\\2&&0&&3\end{bmatrix}$$

A red die and a green die have been rolled. What is the probability of the event? The sum is less than 10.

A 2.50-kg steel gasoline can holds 20.0 L of gasoline when full. What is the average density of the full gas can, taking into account the volume occupied by steel as well as by gasoline?

A red die and a green die have been rolled. What is the probability of the event? The sum is 9.

Simplify. Assume that variable exponents represent positive integers.

$$t ^ { 4 } \cdot t ^ { k - 4 }$$