You randomly survey students in your school about the color of their eyes. The results are shown in the tables.

$$\begin{matrix} \text{Eye Color of Males Surveyed} & \text{ } & \text{ }\\ \text{Green} & \text{Blue} & \text{Brown}\\ \text{5} & \text{16} & \text{27}\\ \text{ }\\ \text{ }\\ \end{matrix}$$

$$\begin{matrix} \text{Eye Color of Females Surveyed} & \text{ } & \text{ }\\ \text{Green} & \text{Blue} & \text{Brown}\\ \text{3} & \text{19} & \text{18}\\ \text{ }\\ \text{ }\\ \end{matrix}$$

a. Make a two-way table. b. Find and interpret the marginal frequencies for the survey. c. For each eye color, what percent of the students in the survey are male? female? Organize the results in a two-way table.

A charitable organization is having a raffle for a single prize of $7000. Each raffle ticket costs$3, and 9000 tickets have been sold. (a) Find the expected gain for the purchaser of a single ticket. (b) Find the expected gain for the purchaser of two tickets.

You randomly survey students about whether they are in favor of planting a community garden at school. Of 96 boys surveyed, 61 are in favor. Of 88 girls surveyed, 17 are against. Organize the results in a two-way table. Then find and interpret the marginal frequencies.

Find the slope and the y-intercept of the graph of the linear equation. y - 8 = -x

Determine by substitution which of the given numbers, if any, satisfy the given equation. $10-7 x=-x^{2} ; 2,4$

A 5.0 kg bucket of water is raised from a well by a rope. If the upward acceleration of the bucket is $3.0 \mathrm{m} / \mathrm{s}^{2}$, find the force exerted by the rope on the bucket of water.

For each of the following, state whether the work done on the object by the force is positive or negative a. the force of friction exerted by the road on a car b. the force used to lift a bucket c. the force of air slowing a parachute

Kevin's office cubicle measures 8 ft by 12 ft. Write an equation to find the amount x that should be added to the current length and width to double the area.

The results of a music survey are shown in the two-way table. How many students dislike both country and jazz? How many students like country but dislike jazz?

$$\begin{matrix} \text{ } & \text{ } & \text{Jazz} & \text{ } & \text{ }\\ \text{ } & \text{ } & \text{Likes} & \text{Dislikes}\\ \text{Country} & \text{Likes} & \text{26} & \text{14}\\ \text{ } & \text{Dislikes} & \text{17} & \text{8}\\ \text{ }\\ \end{matrix}$$

You randomly survey people at a mall about whether they like the new food court. The results are shown. Teenagers: 96 likes, 4 dislikes; Adults: 21 likes, 79 dislikes; Senior Citizens: 18 likes, 82 dislikes For each group, what percent of the people surveyed like the food court? dislike the food court? Organize your results in a two-way table.

Biologen haben festgestellt, dass die Zirprate von Grillen einer bestimmten Art mit der Temperatur zusammenhängt, und die Beziehung scheint nahezu linear zu sein. Eine Grille zirpt 113 Mal pro Minute bei 70°F und 173 Mal pro Minute bei 80°F. Finden Sie eine lineare Gleichung, die die Temperatur T in Abhängigkeit von der Anzahl der Zirpvorgänge pro Minute N modelliert.

A researcher randomly surveys people with a medical condition about whether they received a treatment and whether their condition improved. The results are shown. Make a two-way table that includes the marginal frequencies. Treatment Improved: 34 Did not improve: 10 Not Treatment Improved: 12 Did not improve: 29

You randomly survey students about participating in a yearly fundraiser. The two-way table shows the results. How many female students participate in the fundraiser?

$$\begin{matrix} \text{ } & \text{ } & \text{Fundraiser} & \text{ }\\ \text{ } & \text{ } & \text{No} & \text{Yes}\\ \text{Gender} & \text{Female} & \text{22} & \text{51}\\ \text{ } & \text{Male} & \text{30} & \text{29}\\ \end{matrix}$$

A political pollster is conducting an analysis of sample results in order to make predictions on election night. Assuming a two-candidate election, if a specific candidate receives at least 55% of the vote in the sample, that candidate will be forecast as the winner of the election. If you select a random sample of 100 voters, what is the probability that a candidate will be forecast as the winner when If the sample size is increased to 400 , what are your answers to (a) through (c)? Discuss.