1. find the magnitude and direction angle for the vector v = 5cos144°i + 5sin144°j. a. 5√2, 36° b. 5, 144° c. 10, 73° d. 25, 36° 2. find the angle between vector u = 2i + √11j and v = -3i - 2j to the nearest degree. a. 25° b. 87° c. 93° d. 155° 3. a private plane is travelling due east at a rate of 155 mph. a south wind is blowing 35 mph. what is the actual velocity of the plane? a. ≈ 120 mph b. ≈ 151 mph c. ≈ 159 mph d. ≈ 190 mph 4. the dot product of u with itself is 24. what is the magnitude of u? a. 2√3 b. 2√6 c. 12 d. 24 5. vector v has a direction of (-4, 27). find the direction angle for v. a. 81.6° b. 98.4° c. 261.6° d. 278.4°

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

Una caja de galletas contiene 16 paquetes y cada una de estas tiene 12 galletas y se quieren repartir entre 6 niños ¿de cuantas galletas le toca a cada niño?

Cor d? ? me ? max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.