Questions

3 6 3x 2 0

Find d 8x 14 3 1 13 de dx 8x d 3 1 113 dt dt

2 9 on the interval 4 8 and this Riemann sum is select an answer the area of the region enclosed by The rectangles in the graph below illustrate a right endpoint Riemann sum for f z The value of this right endpoint Riemann sum is y f x the x axis and the vertical lines x 4 and x 8 7 3 2 y x 1 2 3 4 5 6 7 8 Right endpoint Riemann sum for yon 4 8

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 or 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 2 1 0

Find d dx d dx 4x 35 4x 35 3x 3x 1 14 dt 1 t 14 dt

The pitcher s mound on a women s softball field is 45 feet from home plate and the distance between the bases is 73 feet The pitcher s mound is not halfway between home plate and second base How far is the pitcher s mound from first base leave your answer as nearest hundredth place Add your

Suppose F 8 2 F 9 10 and F x f x f x 8 F x da

Evaluate 4 2 12 sin x cos x dx

2 Find 10 5x 7 dz 4 120 52 7 de T 4

Suppose F 2 8 F 8 2 and F x f x 8 F x f x dx

Find 3 3 2 0 15xdx 5e0 15x dx

Evaluate 6 lnx 3 dx 2 T

Suppose F 6 10 F 8 5 and F x f x 8 25 10 f x 6 dx

Suppose F 3 6 F 10 1 and F x f x Also suppose G 3 1 G 10 3 and G x g x 10 10f x 4g x dx

A single card is drawn from a standard deck of 52 cards What are the odds in favor of drawing a card numbered from 4 to 9 inclusive Entor

Evaluate 3 5 dx

The weights in kilograms of a group of ten randomly selected men are as follows 90 83 77 76 93 91 93 95 76 79 Calculate the mean and the standard deviation Round to two decimal places wherever applicable Mean Standard deviation

Suppose F 5 2 F 9 2 and F x f x 9 f x dx

Question 24 of 25 The following chart shows the number of sales made per day from Dustin s Gift shop 31 10 20 a What is this chart called click to select Number of Sales b What is the total number of frequencies c What is the class interval d What is the class frequency for the 10 to under 20 class e What is the relative frequency of the 10 to under 20 class Round to two decimal places f What is the midpoint of the 10 to under 20 class

Evaluate 2dt

Calculate the perimeter and area of a sector of a circle with radius 9 9 m inscribed by an angle of 225 Perimeter me Area m Round to the nearest hundredth

Determine the Median 1st and 3rd Quartiles Interquartile range and Outlier for the following data set 81 76 84 76 85 115 86 77 80 Median 1st Quartile 3rd Quartile Interquartile range

The rectangles in the graph below illustrate a left endpoint Riemann sum for f x 12 x on the interval 2 6 The value of this left endpoint Riemann sum is 2 x This Riemann sum is an approximation of the area of the region enclosed by y f x the x axis and the vertical lines z 2 and z 6 Is this approximation an overestimate of an underestimate of or equal to the actual area of the region or is there ambiguity i e the relationship cannot be determined select an answer an overestimate of equal to an underestimate of there is ambiguity y 8 7 6 5 3 2 1 1 2 3 4 5 6 7 8 x Left endpoint Riemann sum for y 12 x on 2 61

Two catalysts may be used in a batch chemical process Twelve batches were prepared using catalyst 1 resulting in an average yield of 86 and a sample standard deviation of 3 Fifteen batches were prepared using catalyst 2 and they resulted in an average yield of 89 with a standard deviation of 2 Assume that yield measurements are approximately normally distributed with the same standard deviation a Is there evidence to support a claim that catalyst 2 produces a higher mean yield than catalyst 1 Use a 0 01 b Find a 99 confidence interval on the difference in mean yields that can be used to test the claim in part a

A single card is drawn from a standard deck of 52 cards What are the odds in favor of drawing a face card

Accessory glands Bulbourethral gland Rectum Urinary bladder Ducts

At Monday night Bingo there is also a raffle being held for a 55 inch flat screen television If 1500 tickets were sold and you purchased 50 tickets for 1 each What are the odds in favor of your winning the television

Macmillan Learning Four different cases are given in which a comparison of means is conducted Case 1 Comparing a measured result with a known value Case 2 Comparing replicate measurements with similar standard deviations Case 3 Comparing replicate measurements with significantly different standard deviations Case 4 Comparing differences of individual measurements of different samples obtained using different methods Match the case to the appropriate set of equations needed to compare the means Case 2 confidence interval x ts n x1 x2 Case 4 1 calculated degrees of freedom s n s n s n s n s n s m2 n 1 n 1 Answer Bank 171 Fld

A single card is drawn from a standard deck of 52 cards What are the odds against drawing a face card

On a 9 question multiple choice test where each question has 5 answers what would be the probability of getting at least one question wrong Give your answer as a fraction

The triangles are similar triangles Find the unknown lengths 28 cm x cm y cm X y 5 cm 4 cm 3 cm

The odds against the horse Bucksnot winning the race are 7 6 What is the probability that Bucksnot will win the race Enter a reduced fraction

Evaluate the following trigonometric function tant 7 6

6 93 m Determine the perimeter and area of the composite plane figure above Perimeter Area mE m Round to the nearest hundredth

A satellite calculates the distances and angle shown in Figure not to scale Find the distance between the two cities 370 km 3 3 km E Round to the nearest km 350 km

The following frequency distribution was constructed from data collected from a sample of 49 students at a college Calculate the Relative Frequency Distribution and the Percent Frequency Distribution Round the Relative Frequency to four decimal places and Percent Frequency to two decimal places wherever applicable Weight in kg Frequency Relative Frequency Percent Frequency 60 to under 80 20 80 to under 100 20 20 100 to under 120 3 120 to under 140 2 140 to under 160 4

A spherical bowling ball is made up of a polyurethane core and a reactive resin cover and must have a circumference of 68 cm Determine the cost to manufacture the ball if the polyurethane for the core costs 0 0114 cm and the reactive resin coating costs 0 0052 cm

Find the area of the shaded region Round to the nearest tenth 9 cm

Find the area of the following figure m 12 m 1 5 m 8 m

A poll showed that 59 2 of Americans say they believe that statistics teachers know the true meaning of life What is the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life Report the answer as a percent rounded to one decimal place accuracy You need not enter the symbol prob

C b a A C B If B 40 C 70 and c 82 km find A and then find a

Use the power rule for logarithms to expand the expression Write your answer simplified form In y2 36 y 2 11 y 6

A single card is drawn from a standard deck of 52 cards What are the odds against drawing an ace Enter your result in lowact

If the probability of the Seattle Mariners winning the World Series is 1 30 What are the odds of the Mariners winning the World Series What is the probability of the Mariners not winning What are the odds of the Mariners not winning

Use the spinner below It is equally likely that the pointer will land on any one of the numbered regions If the pointer lands on the boundary between two regions spin again 30 12 1 11 2 10 9 8 5 7 6 4 Find the probability that the spinner stops on an odd number or a number greater than 3 P an odd number or a number greater than 3 Find the probability that the spinner stops on an even number or a number less than 8

00 S 00 e 2x 1 e 2x dx

A card is drawn randomly from a standard 52 card deck Find the probability of the given event a The card drawn is 6 The probability is b The card drawn is a face card Jack Queen or King The probability is c The card drawn is not a face card The probability is

Suppose you roll a special 30 sided die What is the probability that the number rolled is a 1 OR a 2

7 P Q R are points on the sides BC CA AB respectively of the triangle ABC such that BP CQ AR are respectively one third of BC CA AB Prove that the area of the triangle PQR is one third that of the triangle ABC

8 Select each of the following integral that are importan integrals 3 2 5 a Jos tant c d b x 2 dx c fs 1 of DJ25 1 dx dx e 5 1 3 2 0 x x 9 3 x 3 2 372 16 2 St 197135