Questions

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Question 3 A baker uses the expression 5 75c 3 45p to calculate his profit when he sells c cakes and p pies What is the baker s profit in dollars when he sells 33 cakes and 42 pies

6 Trigonometry Homework Lesson 2 MULTIPLE RIGHT TRIANGLE PROBLEMS 1 Calculate the length of BC 30 10 cm 50 8 cm C 2 Calculate the measure of LABC a 44 C

Find the volume of the solid formed by rotating the region enclosed by about the x axis Answer x 0 x 1 y 0 y 7 x

Cosine Law Practice a 2 Find the length of AC to 1 decimal place 3 b 3 60 B C 75 B 4 3 Find the measure of ZA B

LEM and b have a 0 68 angle between them The magnitude length of a is 142 and the magnitude of bis 207 We can write this as la 142 and 6 207 See Diagrams gmtobuz a Find la bl This means what is the magnitude of the sum of the two vectors Hint Law of Cosines 3 marks 68 b doing two tony 30 igen auli no id TB b a b b What angle does a b make with a Shown as on the diagram 3 marks Note this angle is NOT half of 68 To find this you will need to use the Law of Cosines or Law of Sines

A weight loss program claims that program participants have a mean weight loss of at least 12 pounds after 1 month You work for a medical association and are asked to test this claim A random sample of 30 program participants and their weight losses in pounds after 1 month is listed in the table below Assume the population standard deviation is 3 At a 0 04 do you have enough evidence to reject the program s claim Complete parts a through e 5 2 6 1 6 3 6 6 7 3 7 7 7 9 8 3 8 3 8 6 8 7 9 2 9 4 9 6 9 6 9 7 10 3 10 4 10 5 10 7 10 8 11 2 11 3 11 7 11 8 12 2 12 6 12 7 13 2 15 8 two ucciniai piacco as A The critical value is 1 75 B The critical values are Identify the rejection region s Choose the correct answer below C A B Fail to reject Ho Fail to reject Ho Fail to reject Ho Reject Ho 0 Reject Ho Reject H 4 c Find the standardized test statistic Z 4 03 Round to two decimal places as needed d Decide whether to reject or fail to reject the null hypothesis A Since z is not in the rejection region reject the null hypothesis B Since z is in the rejection region reject the null hypothesis C Since z is in the rejection region fail to reject the null hypothesis OD Since z is not in the rejection region fail to reject the null hypothesis e Interpret the decision in the context of the original claim At the 4 significance level there Reject H enough evidence to the program s

Find the critic significance a and sample size n Two tailed test a 0 01 n 12 Click the icon to view the t distribution table The critical value s is are 3 106 Round to the nearest thousandth as needed Use a comma to separate answers as needed Determine the rejection region s Select the correct choice below and fill in the answer box es within your choice Round to the nearest thousandth as needed OA t and OC t OB t D t

4 To determine the distance across a marsh AB on diagram a surveyor measures LACB to be 65 Determine the length of the marsh 47m

is 0 07 The estimated standard error of the sampling distribution is 0 04 What is the 95 confidence interval Use the critical value z 1 96 5 point Part 2 5 points 10 points Round all calculations to two decimal places Put lower bound in the first box and upper bound in the second box Question 8 Type numbers in the boxes Quit Smoking Previous studies suggest that use of nicotine replacement therapies and antidepressants can help people stop smoking The New England Journal of Medicine 10 points published the results of a double blind placebo controlled experiment to study the effect of nicotine patches and the antidepressant bupropion on quitting smoking The target for quitting smoking was the 8th day of the experiment In this experiment researchers randomly assigned smokers to treatments Of the 175 smokers taking a placebo 31 stopped smoking by the 8th day Of the 254 smokers taking only the antidepressant buproprion 79 stopped smoking by the 8th day Calculate the estimated standard error for the sampling distribution of differences in sample proportions The estimated standard error

Determine the domain of each of the following logarithmic functions Write your answers in interval notation enter U for U union and infinity for a f x log 3 2x 1 Dom f b g x logo 4 2x3 5x 11x14 Dom g c h x log15 3x 12 Dom h

he volume of the solid whose base is the region bounded by y x y 1 and the y axis and whose cross sections perpendicular to the y axis are equilateral es

Find the critical value s and rejection region s for the type of z test with level of significance a Include a graph with your answer Two tailed test a 0 02 The critical value s is are z 2 33 Round to two decimal places as needed Use a comma to separate answers as needed Select the correct choice below and if necessary fill in the answer box to complete your choice Round to two decimal places as needed OA The rejection region is z B The rejection regions are z OC The rejection region is z and z

Find the P value for a left tailed hypothesis test with a test statistic of z 1 11 Decide whether to reject Ho if the level of significance is a 0 10 P value Round to four decimal places as needed

Find the volume of the solid whose base is the region bounded by y x y 1 and the y axis and whose cross sections perpendicular to the z axis are semicircles Volume

Type numbers in the boxes ab Part 1 5 points Part 2 5 points Quit Smoking Previous studies suggest that use of nicotine replacement therapies and antidepressants can help people stop smoking The New England Journal of Medicine published the results of a double blind placebo controlled experiment to study the effect of nicotine patches and the antidepressant bupropion on quitting smoking The target for quitting 10 points smoking was the 8th day of the experiment In this experiment researchers randomly assigned smokers to treatments Of the 162 smokers taking a placebo 28 stopped smoking by the 8th day Of the 272 smokers taking only the antidepressant buproprion 82 stopped smoking by the 8th day Calculate the 99 confidence interval to estimate the treatment effect of buproprion placebo treatment The standard error is about 0 0407 Use critical value z 2 576 Round your answer to three decimal places Put lower bound in the first box and upper bound in the second box

8 6 7 km Sm 3 km 7 9 cm 40 cm 9 6 ft J

Multiple Choice Effector cells of the parasympathic system None of these Effector cells of the sympathetic system O All effector cells of the autonomic system

7 Which of the following is not a function of the hypothalamus Multiple Choice Control of postural reflexes Production of hormones Control of hunger and thirst Regulation of body temperature

How many ATP NADH and FADH2 are generated by just the citric acid cycle

Keshaun doesn t cheat on his history exam because he thinks it is against the rules and if everyone cheated then there would be no way of knowing how well people know the material and the education system would crumble This BEST demonstrates morality Opreconventional conventional O postconventional personal fable

a If n independent trials result in no successes why can t we find confidence interval limits by using the methods described in this section b If 40 couples use a method of gender selection and each couple has a baby girl what is the 95 upper bound for p the proportion of all babies who are boys a Choose the correct answer below A The requirement of dependent trials is not satisfied so the normal distribution cannot be used B The requirement of at least 5 successes and at least 5 failures is not satisfied so the binomial distribution cannot be used C The requirement of dependent trials is not satisfied so the binomial distribution cannot be used D The requirement of at least 5 successes and at least 5 failures is not satisfied so the normal distribution cannot be used b The 95 upper bound for p the proportion of all babies who are boys is Round to three decimal places as needed n

Solve the following system of equations 7x 2y 13 x 2y 11

Solve the following system of equations y 2 4x 3y 18

Solve the following system of equations y 3x 5 5x 4y 3

Za 2 Round to two decimal places as needed

ed an experiment in which she tested professional touch therapists to see if they could sense her energy field She flipped a coin to select either her right hand or her left hand and then she asked the therapists to identify the selected hand by placing their hand just under Emily s hand without seeing it and without touching it Among 345 trials the touch therapists were corred 161 times Complete parts a through d a Given that Emily used a coin toss to select either her right hand or her left hand what proportion of correct responses would be expected if the touch therapists made random guesses Type an integer or a decimal Do not round

Solve the following system of equations y 5x 7 3x 2y 12

A New York Times article reported that a survey conducted in 2014 included 36 000 adults with 3 74 of them being regular users of e cigarettes Because e cigarette use is relatively new there is a obtain today s usage rate How many adults must be surveyed now if a confidence level of 99 and a margin of error of 2 percentage points are wanted Complete parts a through c below a Assume that nothing is known about the rate of e cigarette usage among adults n Round up to the nearest integer

Fill in the blank with an appropriate word phrase or symbol s for parts a through c a The apportionment method that uses a modified quota that is always rounded to the nearest integer is method b The apportionment method that uses a modified quota that is always rounded up to the nearest integer is method c The apportionment method that uses a modified quota that is always rounded down to the nearest integer method is a The apportionment method that uses a modified quota that is always rounded to the nearest integer is method

Lieben Students are creating a model that shows bacteria becoming resistant to antibiotics through natural selection They decide to make different drawings and use the following key for their models normal bacterium resistant bacterium dead bacterium Which of the models below would show the final result of their model where the bacteria have become resistant to the antibiotic

Find the critical value Za 2 that corresponds to the given confidence level 82 Za 2 Round to two decimal places as needed D

A rapid transit service operates 189 trains along five routes A B C D and E The number of trains assigned to each route is based on the average number of daily passengers per route given in the following table Use Webster s method to apportion the trains The standard divisor is 58 13 Route A B C D E Average Number of Passengers 1098 1349 1548 1514 5478 Route Number of apportioned trains A

p Type integers or decimals

For each of the following graphs obtain a lower bound L A for the area enclosed by the curve by adding the areas of the squares enclosed completely by the curve Then obtain an upper bound U A for the area by adding the areas of the squares enclosed either partially completely by the curve Notice the squares in the first graph are 1 by 1 squares and the squares in the second graph are 1 2 by 1 2 squares a L A b U A a L A 7

E 1 1 2

The transit department for some city has 99 new buses to be apportioned among six routes The department decides to apportion the buses based on the average number of daily passengers per route as shown in the table below Use the table to answer parts a through c Route A B C D E F Total Passengers 9130 14 620 11 385 6515 25 420 7675 74 745 a Determine the standard divisor Type an integer or decimal rounded to the nearest hundredth as needed

Hint s Check My 2016 the Better Business Bureau settled 75 of complaints they received in the United States Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers You plan to select a sample of new car dealer complain imate the proportion of complaints the Better Business Bureau is able to settle Assume the population proportion of complaints settled for new car dealers is 0 75 the same as the overall proportion of complaints settled in 2016 Use the z table Suppose you select a sample of 200 complaints involving new car dealers Show the sampling distribution of p F to 2 decimals to 4 decimals Based upon a sample of 200 complaints what is the probability that the sample proportion will be within 0 03 of the population proportion to 4 decimals robability Suppose you select a sample of 490 complaints involving new car dealers Show the sampling distribution of 5 to 2 decimals to 4 decimals Based upon the larger sample of 490 complaints what is the probability that the sample proportion will be within 0 03 of the population proportion to 4 decimals probability e As measured by the increase in probability how much do you gain in precision by taking the larger sample in part d increased by to 3 decimals There is a gain in precision by Select your answer V the sample size

A car manufacturer has 154 cars of a new model to be apportioned to four dealerships The manufacture decides to apportion the cars based on the number of cars each dealership sold in the previous year The number of cars sold by each dealership is shown below Use the table to answer parts a through c Dealership A B C D Total Annual Sales 5214 3944 3380 2246 14 784 a Determine the standard divisor Tyne an integer or decimal rounded to the nearest hundredth as needed

Suppose a random sample of size 56 is selected from a population with 11 Find the value of the standard error of the mean in each of the following cases use the finite population correction factor if appropriate a The population size is infinite to 2 decimals b The population size is N 50 000 to 2 decimals x c The population size is N 5000 to 2 decimals x d The population size is N 500 to 2 decimals X

Estimate the areas under the curve by computing the left Riemann sum Lg 1 M 1 8 1 0

16 B F

height of the Eiffel Tower Antoine placed a mirror 500 meters away from the tower He then positions himself as shown so that the top of the tower is visible in the mirror He is standing 2 75 meters from the mirror and his eyes are 1 8 meters off the ground How tall is the tower

Madame Pickney has a rather extensive art collection and the overall value of her collection has been increasing each year Three years ago her collection was worth 600 000 Two years ago the value of the collection was 690 000 and last year the collection wa valued at 793 500 Assume that the rate at which Madame Pickney s art collection s value increase remains the same as it has been for the last three years The value of the art collection can be represented by a geometric sequence The value of the collection three years ago is considered the first term in the sequence What explicit rule can be used to determine the value of her art collection n years after that O a 600 000 1 15 1 a 600 000 1 9 1 O an 600 000 1 1 1 600 000 0 1

What is a recursive rule for the geometric sequence 6 18 54 162 Enter your answers in the boxes a1 an Basic 7 8 9 X D