Area Questions and Answers

15 a 0 048 yards b 0 063 yards c 0 075 yards

21 The area of a triangle is 40 centimeters Find the length of the side included between the angles A 30 and B 50

B a Given triangle ABC and circle CA centered at A with radius AC and circle Cg centered at B with radius BC how many intersection points do the two circles have and where are the intersection point s located b If two circles centered at A and B intersect in a single point C then describe all of the possible relationships between AB BC and AC Explain your answer

In calculating the bank discount when discounting an interest bearing note which one of the following is not used in the calculation O Principal proceeds Maturity value Bank discount rate Discount period None of these

Complete the following table for the simple discount notes Use the ordinary interest method Note Round your answers to the nearest cent Amount due at maturity Discount rate Time Bank discount Proceeds 4 000 6 25 160 days

Let T R R be a linear transformation Use the given information to find the nullity of T rank 7 0 nullity 7 0 Give a geometric description of the kernel and range of T O The kernel of T is all of R3 and the range of T is all of R O The kernel of T is all of R3 and the range of T is the single point 0 0 0 O The kernel of T is the single point 0 0 0 and the range of T is all of R O The kernel of T is a line and the range of T is a plane The kernel of T is a plane and the range of T is a line

is discrete Use the continuity correction and describe the region of the normal distribution that corresponds to the indicated probabilit Probability of more than 5 passengers who do not show up for a flight Choose the correct answer below OA The area to the right of 4 5 OB The area to the right of 5 5 OC The area to the left of 5 5 OD The area to the left of 4 5 OE The area between 4 5 and 5 5

Multiply Write your answer in simplest form 6 6k236k 54 k 6k 9

Divide Write your answer in simplest form 5g 3 3g 1 5g 2 3g 1

3 Decide whether the numbers 30 40 and 60 can represent the side lengths of a triangle If they can classify the triangle as right acute or obtuse Show calculations 2 pts 30440 30 40 70 Yes they can 70 60 ACCA e

List all the factors of 12

Which values should you plot to show a linear relationship Month Population Log population 1 1400 3 146 2 3 4 5 6 2600 4700 9000 17000 32000 3 415 3 672 3 954 4 230 4 505 O A Population on the x axis and Log population on the y axis OB Month on the x axis and Population on the y axis C Month on the x axis and Log population on the y axis OD Log population on the x axis and Month on the y axis

Stacia randomly chooses a number from 1 to 10 What is the probability she chooses a number less than 4 OA 4 1 OB 3 O C 3 OD 10

The volume of a cube is 125 cubic centimeters What is the length of each side of the cube centimeters side

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

What is the interquartile range of the following data set 46 27 48 96 61 84 29 1 64 5 34 OA 73 OB 46 O C 37 D 19

If the standard deviation of the data values in a sample is 14 what is the variance of the data values OA 225 OB 196 O c 256 OD 144

What is the mode of the following data values 54 78 36 46 36 A 60 OB 46 OC 36 OD 50

If a sample of 35 golfers is taken from a population of 72 golfers the sample mean x is the mean of how many golfers scores OA 72 B 35 OC Neither 35 nor 72 OD Both 35 and 72

What is the five number summary for this data set 4 6 10 13 18 28 34 46 50 58 Assume the numbers in each answer choice are listed in this order min Q1 median Q3 max OA 4 13 23 34 58 OB 4 10 23 46 58 OC 4 10 31 46 58 O D 4 13 31 34 58

If a sample of 23 swimmers is taken from a population of 74 swimmers the population mean is the mean of how many swimmers times OA Neither 23 nor 74 OB 23 C 74 OD Both 23 and 74

Place Phoenix Italy Mexico Tokyo Lima Toronto Los Angeles What is P A OA 5 O B 19 1 3 O c 9 A place from this table is chosen at random Let event A The place is a city C D Is a city Is in North Am 2

A pet store sells mice reptiles and birds Let event A A customer buys a mouse Let event B A customer buys a bird What does P A or B 0 25 mean in terms of this problem A The probability that a customer buys either a mouse or a bird is 25 B The probability that a customer buys both a mouse and a bird is 25 C Buying a mouse and buying a bird are mutually exclusive events D The probability that a customer buys neither a mouse nor a bird is 25

A and B are mutually exclusive events P A 0 30 and P B 0 50 What is P A or B OA 0 80 OB 0 60 C 0 15 O D 0 20

Penguin Robin Snail Sparrow Pelican Bat Let event A The animal is a bird Let event B The animal can fly Which outcomes are in A and B V V A penguin robin sparrow pelican bat B robin sparrow pelican bat C robin sparrow pelican D penguin robin sparrow pelican

b 6 Answer 2 A 4 0 2 3 B 4 1 0 2 0 2 only 10 10 Part B What are the zeroes of the above polynomial function

Simplify 2x 3y 4

A computer randomly puts a point inside the rectangle What is the probability that the point does not land in triangle T 6 T 2 O A 4 O C 778 OB 1 3 23 8 4 S

What is the probability that out of 250 babies born 130 or fewer will be boys Assume that boys and girls are equally probable and round your answer to the nearest tenth of a percent OA 3 3 OB 75 7 OC 97 5 OD 28 5

What is the probability that out of 60 lambs born on BaaBaa Farm at least 31 will be male Assume that males and females are equally probable and round your answer to the nearest tenth of a percent OA 25 9 OB 4 6 O C 44 9 D 12 3

Every week a company provides fruit for its office employees They can choose from among five kinds of fruit Which probabilities correctly complete this probability distribution for the 50 pieces of fruit in the order listed Fruit Number of pieces Probability Apples Bananas Lemons Oranges 10 15 6 14 OA Probability 0 2 0 1 0 32 0 3 0 08 OB Probability 0 2 0 12 0 16 0 28 0 24 OC Probability 0 2 0 3 0 12 0 28 0 1 01 03 024 Pears 5

Graph one complete cycle for each of the following In each case label the axes so that the amplitude and period are easy to read 13 y 4 sin 2x 14 y 2 sin 4x

Suppose a manufacturer knows from previous data that 1 5 of one type of lightbulb are defective The quality control inspector randomly selects bulbs until a defective one is found Is this a binomial experiment Why or why not OA No because the trials are not independent OB Yes because the situation satisfies all four conditions for a binomial experiment O C No because each trial cannot be classified as a success or failure OD No because the number of trials is not fixed

Two friends Andrew and Liz are playing a game using this spinner If the spinner lands on region 1 Andrew wins If it lands on region 2 Liz wins If it lands on region 3 nobody wins Is this a fair game A Yes Each of the friends has a probability of winning OB No Andrew has a probability of winning and Liz has a probability of winning O C Yes Andrew has a probability of winning and Liz has a probability of winning OPERS P BISIN PROLME OD No Andrew has a probability of winning and Liz has a probability of winning Tebing clea STRENG

A randomly generated list of integers from 0 to 4 is being used to simulate ar event with the numbers 1 2 and 3 representing a success What is the estimated probability of a success OA 40 OB 60 OC 75 OD 25

If volume of liquid is plotted along the horizontal axis and total mass of beaker plus liquid is plotted on th vertical axis a The x or horizontal intercept is the negative value of the weight of the beaker b The y or vertical intercept is the weight of the empty beaker c The slope of the line is 1 0 d The line will pass through the origin e The slope of the line is independent of the identity of the liquid

A rectangular garden of area 208 square feet is to be surrounded on three sides by a brick wall costing 8 per foot and on one side by a fence costing 5 per foot That is two sides of equal length will consist of brick walls and the other two sides of equal length will consist of one brick wall and a fence Find the dimensions of the garden such that the cost of the materials is minimized To minimize costs the lengths of the sides consisting of a fence and a brick wall should be feet and the lengths of the perpendicular sides which are only made from brick walls should be feet

Find the volume of each of these cylinders Figures are not drawn to scale a Right circular cylinder b Oblique circular cylinder 26 m 4 m a The volume of the right circular cylinder is Round to the nearest integer as needed TELEF 8 ft

2 A country has a Life expectancy at birth years 70 7 expected years of schooling years 12 5 mean years of schooling years 9 6 and gross national income per capita 32 465 The maximum for expected years of schooling 18 the maximum per capital income is set at 75 000 and the benchmark life expectancy at birth of 85 years Compute the new HDI for this

Construct the perpendicular bisector of side AB of each triangle 3 4 B A B

Let v 2 6 and w 12 4 Which of the following is true A V and w are perpendicular B The x component of v is 6e C w 4 3 1 D v w 48

What is the surface area of the right prism given below A 420 units OB 840 units2 C 480 units OD 298 units2 5 12 14

The two cones below are similar What is the value of x O OB 0 18 O O A 0 09 C 0 3 D 0 9 10 3 o d 3 x

A geometric solid has only length and height O A True OB False

A right cylinder has a radius of 5 and a height of 9 What is its surface area A 45 units2 B 140 units C 70 units D 90 units2

What is the volume of a cone with a radius of 4 and a height of 15 OA 251 33 units OB 39 79 units OC 753 98 units D 900 units3

Is the volume of the cylinder shown below OA 1527 units OB 1215 units C 64 units3 D 361 units3 15

What is the surface area of the regular pyramid given below OA 140 units OB 329 units2 OC 280 units D 189 units 10 7

1 Using the same triangle above Construct the perpendicular bisector of segment BC Label the point where the 2 perpendicular bisectors intersect P 2 Use different colored lines to draw segments PA PB and PC How do the lengths of these segments compare Explain your reasoning 3 Imagine the perpendicular bisector of segment AC Will it pass through point P Explain your reasoning 4 5 6 Construct the perpendicular bisector of segment AC Construct a circle centered at P with radius PA Why does the circle also pass through points B and C

Janie took out a loan for 4850 at a 13 8 APR compounded monthly to buy a backyard swimming pool If she will make monthly payments of 455 50 to pay off the loan how many total payments will she have to make A 13 OB 10 C 12 OD 11