After four days, Trudy's average exercise time was 45 minutes per day. If she exercises 60 minutes on the fifth day, what will be her average time in minutes per day after five days?

Why Is it useful to write a rational number as a fraction or as a decimal?

The set {1, 2, 3, ... } represents what set of numbers?

A coin is flipped and a number cube is rolled. a. What is the sample space of the experiment? b. What is the probability of getting heads and a prime number? Write the probability as a reduced fraction and as a decimal number.

Solve the system of inequalities by graphing. y < 4x,

$$2x + 3y \geq -21$$

Simplify the expression.

$$\left( x ^ { 1 / 3 } \cdot y ^ { 1 / 2 } \right) ^ { 9 } \cdot \sqrt { y }$$

Determine whether the given relation is reflexive, symmetric, transitive, or none of these. Justify your answers. E is the congruence modulo 2 relation on Z: For all

$$m , n \in \mathbf { Z } , m E n \Leftrightarrow 2 | ( m - n )$$

.

you are given the probability that an event will not happen. Find the probability that the event will happen. P(E′)=61/100

Describe an example of an observation that can be made from an experiment. Then give four possible inferences that could be made from the observation.

Determine whether

$$\vec { A B }$$

is equivalent to

$$\vec { P Q }.$$

A = (0, 0, 0), B = (-4, 2, 3), P = (4, -2, -3), Q = (0, 0, 0)

During the school year, there are 10 scheduled football games. You would like to attend at least 6 of the games. How many different combinations of games can you attend? A. 210, B. 386, C. 638, D. 5,040.

Find the area of a circle with diameter 3 in. to the nearest tenth.

Solve the first-order linear differential equation. y′ + 2xy = 10x

Divide.

$$(2x^4 + 3x² - 4x² + x + 1) ÷ (2x - 1)$$