Geometry Questions

In the figure at the right AB CD EF Find AE Select one A 10 3 B 20 6 C 10 D 5 B 10 3 C 10 10 E F

Classify the quadrilateral as precisely as possible E Select one A kite B isosceles trapezoid OC rectangle D rhombus OE square F parallelogram 4

For problems 4 and 5 use the figure below 58 to you Classify the quadrilateral Select one A square OB rhombus C parallelogram OD rectangle

If Y yellow and F Females translate the expression P Y F What is the probability that person chosen prefers given since when yellow red they are

Favorite Candy Bar Kit Kat Children 15 Adults 31 Butterfinger 12 18 49 Using the table above calculate the totals The probability that a child prefers KittKatt is of liking KittKatt given the person is a child P k c In other words what is the pr

Find the first 4 terms in the expansion of 1 x 2 8 Select one O a O b O c 1 8x2 28x3 56x1 Od 1 8x2 28x4 56x5 1 8x2 28x4 56x6 1 8x2 28x3 56x4

Suppose you took a 10 question quiz What is the probability you could get 3 questions correct by random guessing if each question has 4 choices Select one a 33 b 12 C 8 d 25

Expand 1 b up to the first three terms Hint Use the binomial theorem Select one a 1 15b b 1 5b 10b 2 c 5 5b 10b2 Od 1 5b 10b

There are 16 marbles 5 are red and 11 are blue Use binomial probability to find the probability of choosing 3 reds and 1 blue with replacement Select one O a 27 b 12 c 16 d 8

Find the first 4 terms in the expansion of 1 x2 8 Use your answer to find the value of 1 01 8 Select one a 0 0823 b 1 838 c 1 083 Od 1

The following expression is known as the Binomial Theorem 1 b 1 C b C b2 Cb bn Select one True False

Find the first 4 terms in the binomial expansion of 1 4x 6 Select one Ca 1 24x 240x 128x O b 1 24x 24x 1280x3 O c 1 24x 240x 1280x O d 1 24x 240x 1280x

If a spinner with the digits 1 6 is spun the probability of spinning a 3 is 2 1 3 4

If Billy has a bag of marbles with 10 green marbles 7 blue marbles and 8 red marbles what is the probability that if Billy reaches in and pulls out a marble it will NOT be red Select one a 25 17 b 17 25 c 8 17 d 8 25

An experiment starts with four cards which are numbered 1 4 6 and 9 respectively One card is chosen at random State the probability that it is the card numbered 9 Select one a 1 3 b 1 2 c 1 4 d 1 8

A bag contains 10 beads 2 black 3 white and 5 red A bead is selected at random The probability of selecting three red beads without replacing them is This is al independent dependent ambiguous event

A bag contains 6 red marbles 3 blue marbles and 7 green marbles If a marble is randomly selected from the bag what is the probability that it is blue or red Select one a 18 16 b 1 2 c 9 16 d 1 3

A sample space consists of 80 separate events that are equally likely What is the probability of each Select one O a 1 b 0 c 1 80 d 80

A die with 12 sides is rolled What is the probability of rolling a number less than 11 Select one O a 1 2 b 5 6 O c 11 12 5 10 O d

A car assembly line has a 70 yield meaning that 70 of the cars are good and 30 are defective If three cars are randomly selected find the probability that all of them are acceptable Select one a 0 49 Ob 0 343 OC 0 7 Od 0 349

Joanna needs two spools of ribbon but there are 13 different choices In how many ways can she choose 2 different spools of ribbon

A task force of 5 members is to be chosen from 6 seniors and 4 juniors Find the number of ways in which this can be done if the task force has exactly 3 seniors Select one a 252 b 120 OC 240 Od 360

Complete the following 7P4 7P3

If a certain job A can be performed in P different ways followed by another job B which can be performed in Q different ways then task A followed by task B can be perfomed in P x Q ways Select one True False

In how many ways can Jake Claire and Ryan arrange themselves in a line Select one a 3x2x1 Ob 2x1 c 2x2x2 d 3x1

Janie has to take a test which consists of 4 true or false questions In how many possible ways can she answer all the questions if she is totally guessing Select one O a 2x2x2x2 Ob 4x2 Oc 2x2 d 2x2x2x2x2

Find the number of 5 letter permutations that can be formed from the letters in the word SINGAPORE Select one a 362 880 b 15 120 O c 151 200 d 3 024

In how many ways can 9 different books be arranged on a shelf Select one O a 3 628 800 b 36 288 Oc 362 880 d 362 800

many identification codes are possible by using 3 letters if no letter may be repeated ver

The number of permutations of n different objects is n n n 1 n 2 x x3x2x1 Select one True O False

A regular decagon has a radius of 8 cm What is the approximate area of the decagon Recall that a decagon is a polygon with 10 sides O 188 cm O 198 cm O 304 cm O 375 cm

In deductive reasoning you start from a set of rules and conditions to determine what must be true O A induced B hypothetical C unknown D given

35p Classify the PDE n 1 2urz y2n Uyy ny2n uy for any integer n 1 and find its general solution by obtaining its CANONICAL FORM

Assume cos t where t 3 Compute the following cos t cot t sec t

For the points P and Q find the coordinates of the P 7 9 Q 3 2 OA 5 17 OB 4 7 OC C 2 7 OD 10 11

17 Let E be a point on the side CD in parallelogram ABCD Straight line passing through A and E intersects the extension of BC at point F Join B and E D and F if the area of ABCE is 1 then what is the area of ADEF O A 1 OB 3 2 OC O a N is let m D F

The percent by volume of the drug is 67 5 If there are 500 mL of the drug how many milliliters of solvent are present

6 Graph one cycle of the graph of f Label the intercepts and the high low points a f x 3cos 4x x 2 f x 4 sin x 1 4 8 f x 4 tan x f x 5 sin 2x b d

How can we conclude that a and b are perpendicular if a b 0 Select one a The graph of the vectors are in opposite quadrants b None of these O c If the vectors are perpendicular the magnitude of one of the vectors would be zero so the dot product would be ze d The slopes of the vectors are reciprocals of one another

Given a 31 7 2k and b xi 4j 1k find x when a b 4

Consider the triangle 9 m A 15 m 12 m B

Use graphs to find the set 5 8 n 3 9 Select the correct choice below and if necessary fill in the answer box to complete your choice OA The set is Type your answer in interval notation C B The set is the empty set

If a 31 4 and b 71 8 then a b round to the hundredth place W

1 Write the equation of the circle in standard form Then identify the center radius and graph a x y 6x 2y 6 0 b x y 22x 6y 129 0 c x y 22x 4 0 d x y214x 49 0 2 a Given that 3 5 and t is in the quadrant IV find the other function value 1 cost sin b Given that 3 and c Given that cot 2 and is in the quadrant III find the other function value is in the quadrant IV find the other function value d Given that tant 5 and tis in the quadrant I find the other function value

If a vector a has a magnitude of 6 3 and b has a magnitude of 6 7 and the angle between them is approximately 136 2 what is the value of b Round to the nearest tenth

Find the angle between vectors 2 5 and 3 1 Select one a 130 2 b 49 8 OC Do not have enough information d 54 04

Given a 2 5 choose any vectors which would be orthoganal Select one or more a 5 2 b 5 2 C 2 5 d 2 5

a and fb are orthogonal If a 4 5 and b x y then the ratio 0 is

and fb are orthogonal If a 4 5 and b x y then the ratio

How can we conclude that a and bare perpendicular if a b 0 Select one a If the vectors are perpendicular the magnitude of one of the vectors would be zero so the dot product would be zero Ob The graph of the vectors are in opposite quadrants Oc None of these Od The slopes of the vectors are reciprocals of one another