Questions

Solve for m 30 m The solution is m Simplify your answer

Solve using the multiplication principle 5 35 4 12 J Type an integer or a simplified fraction

Solve the following inequality using the addition principle and the multiplication principle 3 r 6 2 4 r 2 21 Select the correct choice below and fill in the answer box to complete your choice Type an integer or a fraction A The solution set is rlr OB The solution set is r r OC The solution set is rir D The solution set is rirs

Consider the function f x ax2 bx c The graph of y f x is shown in the diagram The vertex of the graph has coordinates 0 5 12 5 The graph intersects the x axis at two points 2 0 and p 0 diagram not to scale 2 0 p 0 10

3 A riverboat travels at an average of 14 km per hour in still water The riverboat travels 110 km east up the Ohio River and 110 km west down the same river in a total of 17 5 hours To the nearest tenth of a kilometer per hour what was the speed of the current of the river

The graph of the quadratic function f x x 2 x 8 intersects the y axis at 0 c a Find the value of c C 8 The vertex of the function is 3 12 5 b Write down the equation for the axis of symmetry of the graph The equation f x 12 has two solutions The first solution is x 10 c d e Use the symmetry of the graph to show that the second solution is x 4 om Write down the x intercepts of the graph On graph paper draw the graph of y f x for 10 x 4 and 14 y 14 Use a scale of 1 cm to represent 1 unit on the x axis and 1 cm to represent 2 units on the y axis

A player throws a basketball The height of the basketball is modelled by h t 4 75t2 8 75t 1 5 t 0 where h is the height of the basketball above the ground in metres and t is the time in seconds after it was thrown a b Find how long it takes for the basketball to reach its maximum height 6 909 maximum Assuming that no player catches the basketball find how long it would take for the basketball to hit the ground Another player catches the basketball when it is at a height of 1 2 metres 1 2 4 75 t 8 75 1 5 9 bns 0 c Find the value of t when this player catches the basketball U 20 9

2 Water flowing through both a small pipe and a large pipe can fill a water tank in 9 hours Water flowing through the large pipe alone can fill the tank in 17 hours Write an equation that can be used to find the amount of time t in hours it would take to fill the tank using only the small pipe

A researcher took a random sample of 100 students from a large 95 confidence interval to estimate the average weight of the students at this university The confidence interval was too wide to provide a precise estimate 5 points True or false The researcher could produce a narrower confidence interval by increasing the sample size to 150 A O True B O False Question 4 Select one answer A researcher took a random sample of 100 students from a large university She computed a 95 confidence interval to estimate the average weight of the students at this university The confidence interval was too wide to provide a precise estimate 5 points True or false The researcher could produce a narrower confidence interval by increasing the confidence level to 99 A O True RFalse

A spherical planet of radius 3000 kilometers has h an atmosphere whose density is 25 e where h is the altitude above the surface of the planet Find the mass of the planet s atmosphere Units for the density are grams per cubic kilometer

Select one answer 10 points Suppose we take two different random samples from the same population of test scores The population mean and standard deviation are unknown The first sample has 25 data values The second sample has 64 data values Then we construct a 95 confidence interval for each sample to estimate the population mean Which confidence interval will have greater precision smaller width for estimating the population mean A O The confidence interval based on the sample of 64 data values will be more precise B Both confidence intervals will have the same precision C O The confidence interval based on the sample of 25 data values will be more precise Question 8 Students in a statistics class take a random sample of 100 students at their college and record how many units each student is enrolled in The students compute a 90 confidence interval for the mean number of units for students at their college and get 11 93 12 47 Select one answer 10 points Next the students calculate a 95 confidence interval As the confidence level increases which of the following will happen to the interval width A O Decrease B Increase C Stay the same

Genetically modified foods In American adults say that genetically modified GM foods are generally safe to eat The margin of error for the 95 confidence interval is 3 1 C Funk and L Raine Public and Scientists Views on Science and Society 2015 http www pewinternet org 2015 01 29 chapter 3 attitudes and beliefs on science and technology topics vaccines and access to experimental treatments 18 point gap What does this margin of error tell you about the results of the survey A O We are 95 confident that the sample proportion is off by 3 1 B O We are confident that 95 of the responses are within 3 1 of the population proportion C O We are 95 confident that the population proportion is within 3 1 of the sample proportion of 37 roportion of 37

What is a dog

2 2 Sum the function F x y z x y z over the solid cylinder bounded by x y 1 and the planes z 0 and z 1 Do this two ways 1 using Cartesian coordinates 2 using cylindrical coordinates

2 x 2

7 Juan is planning the seating for a table dinner with his 9 friends They will all sit in a straight line along the table Find the probability that Tom will sit beside Jerry but Chip and Dale will not be seated together T I 4

Use four rectangles to find an estimate of each type for the area under the given graph of from x 1 to x 9 1 Take the sample points from the left endpoints Answer LA 2 2 Is your estimate L4 an underestimate or overestimate of the true area Underestimate 3 Take the sample points from the right endpoints Answer R 24 4 Is your estimate R4 an underestimate or overestimate of the true area Overestimate 5 Use the Trapezoid Rule with n 4 Answer T 3 25

4 2 Sum the function F x y z x y z 2 2 2 2 z 1 over the solid sphere bounded by x y Do this two ways 1 using Cartesian coordinates 2 using spherical coordinates

plane Two children are playing with a ball The girl throws the ball to the boy The ball travels in the air curves 3 m to the right and falls 5 m away from the girl as shown in Figure 5 46 If the plane that contains the trajectory of the ball is perpendicular to the ground find its equation 5m 3m

In 2015 as part of the General Social Survey 1176 randomly selected American adults responded to this question 10 points Some countries are doing more to protect the environment than other countries In general do you think that America is doing more than enough about the right amount or too little Of the respondents 514 replied that America is doing about the right amount What is the 95 confidence interval for the proportion of all American adults who feel that America is doing about the right amount to protect the environment A O 0 423 0 452 B O 0 409 0 465 C O 0 4 0 474

B Find the average value of the function f p 0 0 p cos over the solid upper ball p 5 0 0 TT 2

10 points A Gallup survey of 2322 adults at least 18 years old in the U S found that 408 of them have donated blood in the past two years Construct a 90 confidence interval for the population proportion of adults in the U S who have donated blood in the past two years Round your answer to three decim places A O 0 163 0 189 B O 0 160 0 191 C O 0 156 0 196

For X Uniform a b Find EX Var X For X Exp 2 Find EX Var X

Classify each function as even odd or neither 101 B 8 4 2 8 10L f x 3x 4 h x 2x 3x Even Odd g x 2x 4x Odd

Use the Table of Integrals to evaluate the integral S e e2x 1dx 0

m B 100 and m ZA 35 find m C

Given the following functions find each of the values f x x 3x 2 g x x 1 f g 2 f g 3 f g 3 m 4 Question Help Video Message instructor

A player pays 2 to roll two six sided dice She wins 10 if she rolls a sum of 11 and 5 if she rolls a sum of 7 Given the probability distribution for the game below compute the expected value of the game to the nearest cent X 8 3 2 P X 2 36 6 36 28 36

A cone with a slant height of 25 meters has a radius 15 meters 25 m h 15 m Find the volume of cone using 3 14 Answer

A player pays 3 to randomly draw a card from a standard deck of playing cards He wins 12 if he draws a 10 and 6 if red odd card 3 5 7 or 9 is picked Determine the probability of each possible value of X the amount won or lost to complete the probability distribution for the game Give each value as a fraction with a denominator of 52 X 9 3 3 P X

Find the absolute maximum and absolute minimum for the function 3 f x x 16x 2 4 x 5 absolute minimum at x absolute maximum at x

Let X Uniform 0 1 Define Y ex Find the fx x Fx x Fy y fy y and EY

Compute the mean standard deviation and variance for the probability distribution below Round each value to the nearest hundredth two decimal places X 1 4 6 18 P X 0 075 0 65 0 05 0 225 Paragraph V BIU A 80 K4

01 point I have a full cylinder paint can that I am going to pour my paint into my cone painting bucket Dimensions are below 36 inches 7 8 inches 25 inches 4 inches After I finish pouting the paint from the cylinder to the cone approximately how much paint will be left in the cylinder 274in 238in 286in 291in

Find the missing value which makes the table a valid probability distribution X 2 4 P X 0 2 6 8 0 1 0 5

Multiple Choice are multifunctional are not living tissue do not contribute to homeostasis have a matrix composed mostly of organic salts

Multiple Choice Goblet cells mucus the blood Endocrine glands hormones ducts Exocrine glands hormones ducts Endocrine glands hormones the blood Exocrine glands mucus the blood

Multiple Choice O It is formed from a scab and granulation tissue It is formed from collagen and phagocytes It is formed as a scar and overproduction of collagen It is formed from phagocytes and new capillaries

Multiple Choice has more water entering than leaving a cell has the same osmotic pressure as the cells in the solution causes a cell to shrink has a greater concentration of impermeant solute than a cell

Electroly Multiple Choice form bonds that are stable in water ionize in water cannot conduct electricity in solution form covalent bonds with water

Solve triangle ABC if A 70 c 26 a 25 Round your answers to the nearest tenth Note If there is only one triangle enter the answers in Triangle 1 and enter none for Triangle 2 Triangle 1 Acute Triangle Angle B Angle C b Triangle 2 Obtuse Triangle Angle B Angle C b 0 0

Determine la integral f sec x tan x dx Determine la integral sec x dx

The following first order equation is a Bernoulli equation Find the exact numerical value decimal xy 2y 12xy5 Solve the initial value problem if y 1 1 y x This is not a decimal or integer value

Find a possible formula for the quadratic function in the graph y f x help formulas 4 3 2 1 1 2 13

Which of the following will increase the rate of a chemical reaction Multiple Choice An increase in reactant concentration An increase in product concentration A decreased temperature Enzyme inhibition

y 52 Given the following graph Evaluate f 1 Solve for f x 3 x

5 Find the length of DE E D

8 x 3 3x 17

E A B In the pentagon ABCDE LA ZB 90 ED DC AE BC Four points are marked on AB dividing it into five equal parts Then perpendiculars are drawn through these points as shown in the diagram The dark shaded region has an area of 13 cm and the light shaded region has an area of 10 cm What is the area in cm of the entire pentagon A B C E 45 47 49 49 58 60

Differentiate y In x 8 4x 9 4 x d 1 In x 8 4x 9 4 x dx x 8 4x 9 4 x x 8 16 4x x 8 9 4x 4x