Coordinate system Questions and Answers

Anthony surveys a group of students at his school about whether they play a sport This table shows the results broken down by gender Boys Girls Total Play a sport 114 63 177 Do not play a sport 61 67 128 Total 175 150 325 Are being a girl and playing a sport independent events Why or why not OA Yes they are independent because P girl 0 46 and P girl plays a sport 0 54 OB No they are not independent because P girl 0 46 and P girl plays a sport 0 54 OC Yes they are independent because P girl 0 46 and P girl plays a sport 0 36 D No they are not independent because P girl 0 46 and P girl plays a sport 0 36

The following set of random numbers represents 20 simulations of three daily flights from New York to Los Angeles with 0 1 2 or 3 representing a late departure and 4 5 6 7 8 or 9 representing an on time departure In how many of the simulations was there an on time departure for all three flights 339 931 317 444 432 858 194 192 639 709 742 626 702 258 955 880 505 804 774 132 OA 4 O O C 6 OD 5 B 3

A polynomial function g x with integer coefficients has a leading coefficient of 2 and a constant term of 3 According to the Rational Root Theorem which of the following are possible roots of g x H 4 1 318 3

What is the center of the hyperbola 9x y 36

Some years ago it was estimated that the demand for steel approximately satisfied the equation p 160 20x and the total cost of producing x units of steel was C x 176 40x The quantity x was measured in millions of tons and the price and total cost were measured in millions of dollars Determine the level of production and the corresponding price that maximize the profits The maximum profit occurs at x million tons

For the following exercises solve the trigonometric equations on the interval 2 0 4 156 1 cos 0 1 12

For the following exercises solve the trigonometric equations on the interval 20 4 155 2 sin 0 1 0

Which statement about residual plots is not true A If there is an obvious pattern the model is probably reasonab OB The x axis appears in the middle of the graph C The sum of the residuals is 0 OD The vertical axis shows residuals

A regression line was calcul measure the height of a plant in inches over time in days The residual plots for each set are shown Based on the residuals which data set is best fit by the regression line A y 10 HA O A Data set A B Data set B OC Data set C 10 y C 10 y B

What is the probability of flipping a coin 8 times and getting heads 2 times Round your answer to the nearest tenth of a percent A 3 1 B 21 9 C 27 3 D 10 9

A used car dealership categorizes its salespeople by the sold per year with the categories being 0 8 9 16 17 24 and 25 or more If the following data represent the numbers of cars sold by the salespeople last year how many salespeople were in the 17 24 category 2 31 29 5 14 7 10 25 3 22 O A 1 OB 2 O C 3 OC D 4

The table below shows the number of e mails received each day by a company employee for two separate weeks If the data were represented with a comparative dot plot which day would have more dots for week 2 than for week 1 Week 1 Week 2 7 4 Monday Tuesday Wednesday 8 Thursday 9 Friday O A Wednesday OB Tuesday O C Monday D Friday 6 5 93 7 2

Find the complex conjugate 81381 168

Use the balance equation below 2 H g O g 2 H O l If 10 grams of H gas is reacted with 48 grams of O gas Which reactant is the limiting reactant How much H O is produced Show all working

14 y T 3 21 1 H H 2 3 5 cos e 90 180 270 360 450 540

7 x 8 4 x 1 6 4 2 8 6 2 2 8 2 2

2 8 f x X fool 6 4 3 2 8 6f 4 2 2 N y 6 4 8 x

In the year 2000 the population of a certain country was 285 million with an estimated growth rate of 0 5 per year a Based on these figures find the doubling time and project the population in 2150 b Suppose the actual growth rates are just 0 2 percentage points lower and higher than 0 5 per year 0 3 and 0 7 What are the resulting doubling times and projected 2

The population of a town with a 2016 population of 63 000 grows at a rate of 1 8 per year a Find the rate constant k and use it to devise an exponential growth function that fits the given data b In what year will the population reach 105 000

Find the magnitude and direction of each vector Round your answers to the nearest tenth 10 30

In triangle ABC m A 35 mZB 65 and a 8 71 Use the law of sines to find b Round your answer to the nearest tenth A 8 7 B 9 5 C 13 8 D 23 7

What is the length magnitude of the vector 6 3 A 3 B 2 OC 3 5 OD 53

Use the law of cosines to find the value of cose Round your answer to two decimal places 5 7 9 8 OA 0 84 OB 1 23 OC 0 23 OD 0 35 10 2 8

The law of cosines reduces to the Pythagorean theorem whenever the triangle is acute OA True OB False

Knowing that sin 30 what is a A 7 OB 3 5 O C 12 12 OD 14 30 7 60

What is the APR of a payday loan for 1400 due in 5 days that charges a 105 fee A 5475 OB 5 475 C 547 5 D 54 75

Rhonda plans to buy an 85 Father s Day present for her father and the holiday falls on the third Sunday of June She can afford to put it on layaway with a 20 down payment and 8 a month after that If payments are due at the beginning of each month when should Rhonda make her first monthly payment A November 1 OB September 1 C December 1 OD October 1

Today Benjamin put a watch on layaway by making a down payment of 65 and agreeing to pay 12 per month starting next month for 15 months When will Benjamin receive the watch A In 12 months OB In 15 months OC Today D In 1 month

Nevaeh took out a 20 year loan for 155 000 at 3 6 interest compounded monthly If her monthly payment on the loan is 906 93 how much of her first payment went toward note reduction OA 465 00 OB 441 93 OC 906 93 OD 326 49