The student then decided to use the principle of moments to measure the weight of the metre rule. He suspended the ruler from a loop of cotton placed at the 30 cm mark (P), and balanced the ruler by suspending a 50 g mass from the 6 cm mark as shown in the diagram below. Р 50 g W (1) Calculate the weight of the 50 g mass and the moment it exerts about P. (g = 10 N/ kg) (2) If the weight of the ruler is W, what is the moment of this force about P? (3) Use the principle of moments to calculate the value of W. (4) Calculate the upwards force exerted on the ruler by the cotton at P, and explain why this force does not have to be included in the calculation of W.

Find the x-intercepts of the parabola withvertex (1,1) and y-intercept (0,-3).write your answer in this form: (x1,if necessary, round to the nearest hundredth.

Janie has $3. she earns $1.20 for each chore she does and can do fractions of chores. she wants to earn enough money to buy a cd for $13.50.

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.