In how many ways can 4 different prizes be given to any 4 of 10 people if no person receives more than 1 prize?

Solve what is being asked in the question below.

Find $y^{\prime \prime}$.

$$y=\frac{2 x+3}{5 x-1}$$

Complete entence with the appropriate Vocabulary word: deport, ghetto, bunker.

Solve what is being asked in the question below.

Find $\lim _{x \rightarrow 3} \frac{x^3-27}{x-3}$.

Solve what is being asked in the question below.

Find $y^{\prime \prime}$.

$$y=\left(x^4+x\right)^{2 / 3}$$

How many different ways can 4 tickets be selected from 50 tickets if each ticket wins a different prize?

Match Vocabulary word with its definition.

Vocabulary word : homage

-honor

-coming to life again

-continuing again

-refurbished

Pete wanted to win the prize for selling the most subscriptions. Of 240 subscriptions sold, Pete sold 30 . Give a rational number in simplest form to express Pete's part of the total sales.

Match Vocabulary word with its synonym.

Vocabulary word:

-caustic

-serene

-outdated

-hateful

-justified

-beggar

-evade

-contrary

Find the perimeter of figure with dimensions 9,7,6a,8a and 4a.

Match Vocabulary word with the word that is closest in meaning.

Vocabulary word: loot

-tediou

-lamentable

-entreated

-afflictions

-plunder

-melancholy

-repentance

In this exercise, we discuss the geometric distribution, the probability distribution for the number of trials until the first success in Bernoulli trials. The geometric probability formula is

$$P(X=x)=p(1-p)^{x-1}$$

where X denotes the number of trials until the first success and p the success probability. Using the geometric probability formula, we can show that the mean of the random variable X is $1 / p$.

To illustrate, again consider the Mega Millions lottery. Suppose that you buy one Mega Millions ticket per week. Let X denote the number of weeks until you win a prize.

a. Find and interpret the probability formula for the random variable X.

b. Compute the probability that the number of weeks until you win a prize is exactly 3; at most 3; at least 3.

c. On average, how long will it be until you win a prize?

Match Vocabulary word with its synonym.

Vocabulary word : ludicrous

-spiteful

-melancholy

-restraint

-glee

-preposterous

-peevishness

-chaos

Find the perimeter of figure with dimensions 8,9,7x and 5x.