Members of a certain club are required to register for one of three games: badminton, table tennis or darts. The number of club members of each gender choosing each game in a particular year is shown in the table.

$$\begin{matrix} \text{ } & \text{Badminton} & \text{Table tennis} & \text{Darts}\\ \text{Male} & \text{37} & \text{16} & \text{28}\\ \text{Female} & \text{32} & \text{10} & \text{19}\\ \end{matrix}$$

Use a chi-squared test, at the 5% significance level, to test whether choice of game is independent of gender. State clearly the null and alternative hypotheses, the expected values and the number of degrees of freedom.

Why would a large number of offspring in a cross be more likely to match Punnett-square ratios than a small number would?

Identify the carcinogens found in tobacco. a. benzene b. formaldehyde c. vinyl chloride d. all of the above

a. Write a brief definition for the terms birthrate and death rate. b. What are three ways in which a country may grow in population?

If the typical minimum-wage employee works 40 hours a week and has two weeks' unpaid vacation, how much will that person earn in a year if the minimum wage is $5.15/hour? How much extra will that person earn for every$0.25 increase per hour in the wage?

Describe examples of how people in New Zealand utilize elements of the physical environment to make a living.

Some children without parents or close family find themselves being moved from one foster home to another for the greater part of their childhood. Research case studies related to this topic. Present your findings to the class.

Use the Civics Skill to complete the activity below. Watch two or three music videos by different bands or artists. Then write a paragraph about each video analyzing its content. Consider: Does the video have a message? If so, what is that message? How do the images in the video connect with the lyrics of the song?

Find the measure of the reference angle for $\theta=-112^{*} .$

Test the series for convergence.

$$\sum_{k=1}^{\infty} \frac{1}{2 k-1}$$

In hypothesis testing: A. If the objective is to see whether there is sufficient evidence to establish a certain statement, then that statement should be set as the null hypothesis. B. It may be possible to prove the null hypothesis if there is enough data. C. Both of the above. D. Neither of the above.

Find the sum of all of the 3-digit positive integers.

(a) Let $\mathbf{e}_{1}, \mathbf{e}_{2}$, and $\mathbf{e}_{3}$ be the standard unit vectors in $R^{3}$ expressed in column form, and let A be an invertible matrix. Show that the linear systems $A \mathbf{x}=\mathbf{e}_{1}$, $A \mathbf{x}=\mathbf{e}_{2}$, and $A \mathbf{x}=\mathbf{e}_{3}$ are consistent and that their solutions are the successive column vectors of $A^{-1}$. (b) Use the result in part (a) to find the inverse of the matrix

$$A=\left[\begin{array}{lll}{1} & {2} & {0} \\ {1} & {3} & {0} \\ {0} & {0} & {4}\end{array}\right]$$

.

Suppose the point (8,12) is on the graph of y = f(x).

Find a point on the graph of (a) y = f(x + 4) (b) y = f(x) + 4