Questions

A zip line runs from the top of a platform on the edge of a pond to the ground across the pond A camp counselor places a mirror on the edge of the pond across from the platform and stands back until the top of the platform is visible in the mirror 6 ft 4 ft 170 ft Not drawn to scale a Are the two triangles formed similar Explain your reasoning Both triangles are right triangles The angles made at the mirror on the ground Select congruent Therefore the triangles Select similar b Find the length of the zip line Round your answer to the nearest foot ft

Show that the opposite angles of the quadrilateral are congruent Hint First draw diagonal BD and then draw diagonal AC Draw the diagonal BD Then by the SSS Congruence Postulate ABAD A Select v So A Select Next draw the diagonal AC Then by the SSS Congrue Postulate AADC A Select v So 28 Select Thus the opposite angles in the quadrilateral are congruent A D

Decide whether JKLM is similar to NPRS Explain your reasoning 4 K J 2 60 M 140 3 65 8 N 95 4 10 S 140 6 65 R The sum of the angle measures in a quadrilateral is Using this fact you can determine that the missing angle measures are the corresponding angles of the quadrilaterals Select congruent Also each side of the larger quadrilateral is smaller quadrilateral So the side lengths Select proportional Therefore JKLM Select similar to NPRS and P C times longer than the corresponding side le

Describe how to use a compass and a straightedge to construct a line that is parallel to the given line through point P a 6 P W Draw a line through P that intersects YZ at Select Use the compass to draw an arc with center at Select so that it crosses both lines Copy PYZ on YP with cente at P Label the new angle QPR Draw a line through points Select v This line is parallel to YZ P R MY NOTES Draw a line through P that intersects WX at Select Use the compass to draw an arc with center at at P Label the new angle RPQ Draw a line through points Select v This line is parallel to WX ASK YOUR TEA Select so that it crosses both lines Copy PWX on WP with center

Decide whether each pair of triangles is congruent Explain your reasoning a J C 60 m b H 80 m 9 mi G 70 m K 60 m L O Yes the triangles are congruent by the ASA Congruence Postulate O Yes the triangles are congruent by the SAS Congruence Postulate Yes the triangles are congruent by the SSS Congruence Postulate O No the triangles are not congruent because none of the postulates can be used to show congruence 76 H 6 mi 70 9 mi m 70 m 76 K 6 mi L 1 Yes the triangles are congruent by the ASA Congruence Postulate Yes the triangles are congruent by the SAS Congruence Postulate Yes the triangles are congruent by the SSS Congruence Postulate

AABC is congruent to ADEF Write the name of the congruent triangle listing the vertices in corresponding order a ABAC A b A c A ACAB AFED

Describe how to use a compass and a straightedge to construct the perpendicular bisector of each line segment a R b Set the radius of the compass so that it is greater than one half of the length of RS Draw arcs with centers at R above and below RS Using Select arcs with centers at Select above and below RS Draw a line that passes through Select A Need Help S B Read It Set the radius of the compass so that it is greater than one half of the length of AB Draw arcs with centers at A above and below AB Using Select arcs with centers at Select above and below AB Draw a line that passes through Select The line is the perpendicular bisector of draw The line is the perpendicular bisector of AB

c G 15 31 yd 15 31 yd 85 L 85 H K O Yes the triangles are congruent by the ASA Congruence Postulate Yes the triangles are congruent by the SAS Congruence Postulate O Yes the triangles are congruent by the SSS Congruence Postulate O No the triangles are not congruent because none of the postulates can be used to show congruenc

4 3 4 2 4 5 3 2 1 2 3 5 J 4 2 3 4 B Identify the function whose graph appears above f x 5 Q

Describe how to use a compass to construct a line segment WX that is congruent to JK K W Use a compass to measure the Select same line Need Help Read It Watch it of JK Transfer the Select MY NOTES ASK to line by placing the needle on the point Select and marking the point Select

Consider the following relation Enable Zoc

1 Gallstones 2 acoustis shadows 3 inferior vena cava Description hower el 3 4 portal vein 5 common duct Figure 1 23 in the textbook Shadow 2 24 in the textbook

1 Part A Give the value of sin 0 sin 0 A 0 0 6 0 8 Enter an integer or decimal number more Which coordinate on the unit circle corresponds to sine

Create own drawing that reflects the themes in My Papa s Waltz by THEODORE ROETHKE in some way Then don t skip this step Explain why you chose it and how it reflects the poem

5 6 A A 7 C b 8 b 12 b 4 c 8 C c 16 a 6 C a 6 a 10 B B B

A coin is tossed 8 times What is the probability of getting at least one head Express your answer as a fraction or a decimal number rounded to four decimal places Ancwor E Tables F Koynar

Label the following depiction of electron flow through a PSI type reaction center E V 1 2 PSI 0 8 0 4 Green bacteria 0 0 4 e H E V 1 2 0 8 0 4 10 0 4 C A B E Ferredoxin NAD P 2H NAD P H H Cytochrome c Bacteriochloro phyll P840 Ferredoxin NAD reductase H

point Compute the derivative of f x x 2x 6x 9 5x x 7 8 x

A certain statistics instructor participates in triathlons The accompanying table lists times in minutes and seconds he recorded while riding a bicycle for five laps through each mile of a 3 mile loop Use a 0 05 significance level to test the claim that it takes the same time to ride each of the miles Does one of the miles appear to have a hill Click the icon to view the data table of the riding times Determine une nusand anemauve nypourses Ho H Find the F test statistic F Round to four decimal places as needed Find the P value using the F test statistic P value Round to four decimal places as needed What is the conclusion for this hypothesis test O A Fail to reject Ho There is insufficient evidence to warrant rejection of the claim that the th OB Fail to reject H There is sufficient evidence to warrant rejection of the claim that the thre Riding Times minutes and seconds Mile 1 3 15 3 24 3 22 323 3 20 Mile 2 3 18 3 23 3 21 3 16 3 19 Mile 3 3 33 3 31 3 28 3 31 3 28 Note when pasting the data into your technology each mile row will have separate columns for each minute and second entry You will need to convert each minute second entry into seconds only Print P Done X

Listed below are the costs in dollars of flights between two cities for different airlines Use a 0 05 significance level to test the claim that there is no difference in cost between flights scheduled one day in advance and those scheduled 30 days in advance What appears to be a wise scheduling strategy Flight scheduled one day in advance Flight scheduled 30 days in advance OD Ho The median price is not the same for both sets of prices H The median price is the same for both sets of prices Find the test statistic Find the critical value The critical value is State the conclusion Ho There 453 234 621 242 628 255 1099 260 928 284 555 305 538 287 sufficient evidence to reject the claim that there is no difference in cost between flights scheduled one day in advance and those scheduled 30 D

tan x Using the quotient rule DO NOT simplify your answer cos x sin x cos x d da tan z sin x cos x cos z sin z 1 d dz Use the identity cos2z sin z 1 to simplify tan z Question 15 Rewrite in terms of sine and cosine 1 sec z cos x dz Hint Use the quotient rule on f x sin z tan x cos z Simplify Using the quotient rule DO NOT simplify your answer sin x sec z cos x 0 1 COS OF d dz of tan x Hint What trigonometric function is equivalent to sinz COS cos2z sin z cos2x Part 2 Part 0 75 1 pt 1 3 299 D Part Part Part Part Par

cos x sin x 7 2 T 2 sin 2 sin 2 sin at

F Before the overtime rule in a football league was changed among 516 overtime games 359 were won by the team that won the coin toss at the beginning of overtime Use the sign test and a 0 05 significance level to test the claim that the coin toss is fair in the sense that neither team has an advantage by winning it Does the coin toss appear to be fair Ho P H P Type integers or decimals Do not round Determine the test statistic The test statistic is Round to two decimal places as needed Determine the P value The P value is Round to three decimal places as needed Determine the proper conclusion Because the P value is the 0 05 significance level Ho There is evidence to warrant rejection of the claim that the coin toss is

Rewrite in terms of sine and cosine 1 sec 2 cos x Using the quotient rule DO NOT simplify your answer sin x cos x d da sec z Hint Use the quotient rule on f x sin x cos x Simplify tan x d sec x dz GEN II 0 Hint What trigonometric function is equivalent to sin x cos x 1 sin x pogl B 1 COS OF sin COST

Look at the graphs and their equations below Then fill in the information about the coefficients A B C and D y A x y B x a For each coefficient choose whether it is positive or negative b Choose the coefficient with the least value c Choose the coefficient closest to 0 y C x Choose one y D x B Choose one B C D Choose one B Choose one B

Suppose f x x3 9x 580 A root exists between between which a root must exist The line tangent to y f x at x 7 will intersect the x axis at x 7 and 8 Enter consecutive intege d P

Fill in the information about the absolute value functions below a For each function choose whether its graph opens upward or downward b Choose the equation with the narrowest graph c Choose the equation with the widest graph y 2 x Choose one O y Choose one 0 y 3 x Choose one y 4 Choose o

This question 5 point s possible The accompanying table contains the data for the amounts in oz in cans of a certain soda The cans are labeled to indicate that the contents are 12 oz of soda Use the sign test a a 0 05 significance level to test the claim that cans of this soda are filled so that the median amount is 12 oz If the median is not 12 oz are consumers being cheated Click the icon to view the data OA Ho Median volume s 12 oz H Median volume 12 oz OC Ho Median volume s 12 oz H Median volume 12 oz Find the test statistic Test statistic Round to three decimal places as needed Find the P value P value Round to four decimal places as needed Determine the proper conclusion Choose the correct answers below Since the P value is than the significance level B OB Ho Median volume 12 oz H Median volume 12 oz OD Ho Median volumo 12 oz H Median volume 12 oz the null hypothesis There is evidence that the consumers are being cheated Submit test

Two docks are located on an east west line 2593 ft apart From dock A the bearing of a coral reef is 61 28 From dock B the bearing of the coral reef is 331 28 Find the distance from dock A to the coral reef The distance from dock A to the coral reef Round to the nearest integer as needed ft

Actual high temperature 72 80 72 72 85 71 74 78 High temperature forecast one day before 71 83 72 72 88 72 71 80 Click the icon to view the critical values for the Wilcoxon signed ranks test Listed below are actual high temperatures and the high temperatures forecast one day in advance Use a 0 10 significance level to test the claim that the population of differences has a median of zero What do the results suggest about the accuracy of the predictions Ho The median of the differences H The median of the differences What is the test statistic T Type an integer or a decimal Identify the critical value The critical value is What is the conclusion There zero zero estion point s possible enough evidence to warrant rejection of the claim that the population of differences Submit test a median of zero Based on the sample data it appears that the

Suppose f x sin 32x f 7x 7 sin 147x f 7 dr d f 627 sin 3x V x synt

The graph of y f x passes through the point an 04 y The equation of the line tangent to the graph of y f x through the point zn f zn will have equation

If y 2x 2x then dy 2 2x 2x 1 log 2x da instead of log2 Rocuro to express your answer in terms of 1 syntax error

B R G D 0 K a Match each equation with a graph above 0 y 4 0 82 O y 4 1 53 y 3 1 3 y 4 0 72 a green G b red R c orange 0 d blue B e black K

The data in the accompanying table give the weights in g of randomly selected quarters that were minted after 1964 The quarters are supposed to have a median weight of Use the sign test and a 0 05 significance level to test the claim that the median is equal to 5 670 g Do quarters appear to be minted according to specifications Click the icon to view the data What are the null and alternative hypotheses OA Ho Median weight 5 670 g H Median weight 5 670 g OC Ho Median weight 5 670 g H Median weight 5 670 g Find the test statistic Test statistic Round to two decimal places as needed Find the P value P value Round to four decimal places as needed Determine the proper conclusion Choose the correct answers below More Info 5 5678 5 6578 5 6063 5 5892 Post 1964 Quarters 5 6395 5 6686 5 7107 5 7296 5 7126 5 6902 5 6347 5 6741 5 5595 5 6487 5 6766 5 7005 5 6845 5 5938 5 5497 5 7354 5 5635 5 6043 5 7089 5 5946 55725 5 7075 5 6488 5 5576 5 5407 5 5843 5 5866 5 6748 5 7180 5 5413 5 6465 5 5436 5 7463 5 6684 5 5852 5 7442 X

42 This is a kite 53 5 1 38 3

The purpose of the OSHA Bloodborne Pathogens Standard is to protect patients form infected employees O to prevent occupation exposure to blood and body fluids

According to the Current Population Report of the United States census 16 7 of people aged 25 or older with a disability ha earned a bachelor s degree or higher Suppose that Nancy works for the city of Peoria AZ City officials have asked her to estimate the proportion of people aged 25 or older with a disability in Peoria who have earned a bachelor s degree or higher They have requested that her estimate have confidence level of 90 and a margin of error of 3 or 0 03 Determine the sample size n needed for the 90 confidence interval to be no more than 0 03 n 429 Incorrect people aged 25 or older with a disability Data obtained from the Current Population Reports from the United States Census 2015 Educational Attainment in the United States 2015 http www census gov content dam Census library publications 2016 demo p20 578 pdf accessed April 6 2016

The use of patient s own electrical devices is not a safety concern O True O False Question 13 The use of an extension cord is an electrical safety risk 1 pts

Class A fire extinguishers can be used on O electrical equipment O ordinary combustible materials O any type of fire O flammable liquids

Calico is a coat color found in cats which is caused by a sex linked co dominant allele BB black RR orange BR calico The following genotypes are possible Female cats can be black XBXB orange XRXR or calico XBXR Male cats can be black XBY or orange XRY Show each of the crosses below and include the genotypes and phenotypes of the offspring 1 A black male crossed with an orange female 2 An orange male crossed with a calico female ori 3 A black male crossed with a black female 4 An orange male crossed with an orange female Isang

e c What are the genotypes of the parents How may are White eyed and male White eyed and female XHXh female who is a carrier XhXh female with hemophilia Red eyed and male Red eyed and female In humans hemophilia is a sex linked trait Females can be normal have the disease or be carriers for the trait Males will either have the disease or not but they won t ever be carriers XHXH normal female XHY normal male XhY male with hemophilia 2 A woman who is a carrier marries a normal man Show the cross 1 Show the cross of a man who has hemophilia with a woman who is a carrier What is the probability that their children will have the disease What is the probability that their children will have the disease What sex will a child in the family with hemophilia be 3 A woman who has hemophilia marries a normal man Draw a Punnett square to answer How many of their children will have hemophilia and what is their sex

GE 8 25 10 tan 0 38 A 9 42 O tan 19 35 39 00 35 18 40 64 Sin 9 72 0 72 25

X 81 What brain structure is missing right fusiform gyrus left fusiform gyrus right amygdala left hippocampus

By visual inspection determine the best fitting regression model for the scatterplot O A Exponential OB Quadratic OC No pattern D Linear 5 y

2 NeverReady Inc manufacturers thousands of batteries each hour When the manufacturing process is working properly the batteries have lifetimes that follow a slightly right skewed distribution with u 9 hours A quality control supervisor selects a simple random sample of batteries every hour and measures the lifetime of each If she is convinced that the mean lifetime of all batteries produced tha hour is less than 9 hours at the 5 significance level then all those batteries are discarded The sample for a specific hour gives the statistics below Should all the batteries produced this hour be discarded Support your answer with an appropriate hypothesis test 4 points Min 5 6 Max 8 6 8 9 Sx 0 21 n 30 Median 8 8

Over the past few decades public health officials have examined the link between weight concerns and teen girls smoking Researchers surveyed a group of 273 randomly selected teen girls living in Massachusetts between 12 and 15 years old After four years the girls were surveyed again Sixty three said they smoked to stay thin Does this sample give sufficient evidence that more than 30 of teen girls in Massachusetts smoke to stay thin Support your answers with an appropriate hypothesis test 4 points

Which of the following bonds contains the most amount of potential energy C C O C C H Q H

What is the r value of the following data to three decimal places OA 0 686 OB 0 828 O C 0 686 OD 0 828 X 4 5 8 9 13 y 26 11 13 2 1

The graph shows the value of a certain model of car compared with its age Which statement is true Car s value Car s age years O A The correlation coefficient is close to 0 OB The data show a negative linear relationship O C The car s age is not correlated to its value