Vectors Questions and Answers

Events M and N have probabilities such that P M 0 4 P N 0 28 P M U N 0 56 and P Mn N 0 12 Are event M and event N independent A Yes because P M P N P M U N B No because P M P N P Mn N C Yes because P M P N P M U N D No because P M P N P Mn N

Given set P 5 1 3 and set Q 4 2 1 2 3 What is Pn Q A 1 2 3 B 5 4 2 1 2 3 C 1 3 D do not have an intersection

Which point is on the circle centered at the origin with a radius of 5 units Distance formula x x V V O 2 21 O 2 23 O 2 1 O 2 3

Which equation represents a circle that contains the point 2 8 and has a center at 4 0 Distance formula x x V V1 O x 4 y 100 O x 4 y 10 O x y 4 10 O x y 4 100

Write x y 18x 8y 5 0 in standard form 1 Group terms and move the constant to the other side of the equation 2 18x y 8y 5 2 Determine the values that need to be added to both sides of the equation 18 2 2 81 and 8 2 16 3 Add the values to both sides of the equation 4 Write each trinomial as a binomial squared and simplify the right side What is the standard form of the equation of a circle given by x y 18x 8y 5 0 v

Find the surface area of the regular pyramid shown to the nearest whole number The figure is not drawn to scale 12 m 1 point 6 3 O1 540 m O770 m 396 m 1718 m 11 m

A cylinder that has a height of 20 cm and a radius of 3 cm If you were trying to find the volume of a cone with the same dimensions what would be the correct input calculation V 20 3 A V 20 3 3 V 20 3 I 3 20 4 3 11 N

For the figure determine what the missing number must be in order for the figure to have an area of t 51 6 The missing number is Simplify your answer Type an integer or a decimal QUD E

2 For each day in the month of March the number of cars given speeding tickets was as follows 56 57 43 56 87 37 76 55 29 65 84 74 46 58 61 40 43 60 51 77 53 47 50 81 61 44 55 54 76 39 and 77 a What was the median number of tickets given out on any particular day in the month of March 2 marks b If your friend was caught speeding on a day when only 43 tickets were awarded does the day rank below the lower quartile 3 marks

Using a chart to calculate the standard deviation helps to keep the numbers organized Drag and drop the values to complete the chart x mean total the sum of x x X 14 13 16 9 3 mean 11 11 11 11 11 X mean x mean 32 5 2 9 4 4 64 total

37 You want to find this angle 1874 mi You need to find this Discuss within your group 28 Show Transcribed Text Solve the problem for any wind speed and angle Use w for the wind speed and theta for the wind angle Describe but do not try to solve what we would need to do if the

6 Heather flips a coin 8 times and gets heads 5 times What is the experimental probability of getting heads 1 pt

Answer each question below Estimate any irrational answers to one decimal place 3 Find the magnitude and direction angle of p 12i 23j 60 4 Find the unit vector that s in the same direction as q 12i 5j 60

For the function f x 3x 3x 6 find and simplify f x f a x a b f x h f x

1 point Let A 6 3 k For A to have 0 as an eigenvalue k must be

The ellipsoid 6x 2 6y 2 z 2 79 intersects the plane y 2 in an ellipse Find parametric equations for the tangent line to this ellipse at the point 3 2 1 Enter your answer as a comma separated list of equations Let x and y be in terms of t

Find the center and radius of the circle by this equation 2 2 x 10x y 6y 30 0 Enter your answers and your explanation in the space provided You may also use the drawing tool to help explain or support your answer

The Venn diagram below not to scale shows a sample space S and two events A and B The area of the sample space is 1 Event A is represented by a square with a side length of 2 2 Event B is represented by a circle where the center of the circle is point O and the diameter is In2 1 Computer P A and P B II Prove that events A and B are independent III Prove that events A and B are not mutually exclusive A 0 B S

20 A jar contains 15 quarters 9 dimes 10 nickels and 6 pennies A coin is selected at random not replaced then another coin is selected Find the probability of each event a P dime then nickel b P quarter then penny c P both not dimes

Compound Events each answer as a fraction in simplest form 17 Each spinner below is spun once Find the probability of each event Green Blue Yellow Red Yellow 18 A month Blue Blue Green 9 8 7 10 6 1 2 4 3 a P blue then even b P not red then less than 7 c P green then at least 3

Let U be the set of all integers from 1 to 20 Let A 1 3 6 9 12 15 18 and B 2 9 11 20 Which choice describes the set 4 5 7 8 10 13 14 16 17 19 O ANB OA B O AUB OA B

What is the probability of picking a 7 from a standard deck of 52 cards 1 13 O 4 13 01 0 MIN A

A grab bag contains 8 football cards and 2 basketball cards An experiment consists of taking one card out of the bag replacing it and then selecting another card Determine whether the events are independent or dependent What is the probability of selecting a football card and then a basketball card Express your answer as a decimal independent 0 18 dependent 0 04 dependent 0 64 O independent 0 16 None of the other answers are correct

The diagram shows the sample space of all equally likely outcomes Find the probability of rolling two 2 s Express your answer as a fraction in simplest form 1611 1 6 1 36 M A 8

Information is given about a polynomial f x whose coefficients are real numbers Find the remaining zeros of f Degree 4 zeros i 14 i The remaining zero s of f is are Use a comma to separate answers as needed

120 B O 112 E A D C N What is the value of z O 52 O 104 O 116 O 208

M2 Chapter 9 1 Circle ALL the attributes that match the graph of f x 7 x 3 5 A vertex 3 5 F opens up B vertex 3 5 G opens down C vertex 3 5 H axis of symmetry at y 5 D wider than y x I axis of symmetry at x 3 E narrower than y x J no y intercept K y intercept at y 68 L y intercept at y 5 M no x intercept N x intercept at x 68 O x intercept at x 5 1

f x x 6 142 f x x 6 34 f x x 6 38 f x x 6 34 Show all work

7 Write the equation that represents the graph 7 6 S 4 3 2 7 6 5 4 3 2 1 1 13 4 5 6 1 2 3 4 S 6 7

Express the quadratic in vertex form YOU DO ROUND 1 y x 16x 71

K Use transformations of the graph of f x x to determine the graph of the given function h x x 3 What transformations are needed to graph the function h x x 3 2 Choose the correct answer below OA The graph of f x x should be horizontally shifted to the left by 3 units and reflected about the y axis OB The graph of f x x should be horizontally shifted to the left by 3 units and reflected about the x axis OC The graph of f x x should be horizontally shifted to the right by 3 units and reflected about the y axis OD The graph of f x x should be horizontally shifted to the right by 3 units and reflected about the x axis Use the graphing tool to graph the function Click to enlarge graph 10 2 Ay

The table below gives percent of flights that were delayed and on time during good and bad weather Good weather Bad Weather 17 5 32 5 Delayed 7 5 On Time 42 5 Given these percentages during bad weather is it more likely that your flight will be delayed or on time How much more likely It is 30 more likely to be delayed It is 15 more likely to be delayed It is 30 more likely to be on time It is 15 more likely to be on time

At certain times of the year about 70 of airline flight delays are caused by bad weather During those times about 50 of all flights experience bad weather and about 25 of all flights are delayed Given these percentages if the weather is good what is the probability that your flight will be delayed About 15 About 20 About 35 About 30

Sampulator Shop GSE Geometry Mikayla Morris Permutations and Combinations Probability Practice Roboto Movies flixtor Watch complete An C Clever Portal PnB Rock High Cha 2 CGms 5D 2C action Example 7 There are 15 students waiting at the bus stop If the bus can only fit 6 more students how many ways can the driver select the students to ride the bus Dashbo 16px 1 Opt B I USA A X X EEEE 8 How many ways are there to make 5 letter arrangements out of the word DISCOVERY 134 Directions Determine whether the examples represent permutations or combinatic P C Sol

9 A month of the year is chosen at random What is the probability that the month has exactly 30 days given that it is no later than August 11 A card is chosen at random from a standard deck What is the probability that the card is a spade or a king given that it is black 10 The spinner below is spun once What is the probability that it lands on a letter given that it lands on an unshaded section m 5 9 78 12 Two dice are rolled What is the probability that at least one dice is showing a 2 given that the sum of the numbers on the dice is no more than 63

A total of 160 students were surveyed from the countries of Australia Canada and the United Kingdom One of the questions asked students to report which hand they considered to be their most dominant Results are shown in the table Right Hand Dominant Left Hand Dominant Total Australia Canada 68 Total 46 United Kingdom 25 139 11 V 6 4 21 79 52 29 160 Select an option from each drop down menu to complete the sentence The country had the greatest percentage of its students report being right hand dominant with approximately

In Exercises 5 9 you are asked to find all the specified roots of certain real or complex numbe Use exact values 5 Find all 8th roots of unity 6 Find all cubic roots of 27i 7 Find all quartic roots of 256

15 16 91 88 cos 64 isin 6 4 4 cos 45 isin 45 A 22 cos161 sm161 D 22 cos 19 sin 19 7 cos 30 sin 30 16 cos 75 isin 75 A 112 cos 45 isin 45 D 7 cos 135 isin 135 cos 135 isin135 16 B 352 cos 109 sin 109 C 22 cos19 sin19 E 84 cos19 Isin 19 17 3 cos 15 isin 37 94 B 23 cos 105 isin 105 E 112 cos 80 8 sin 80 8 A 12 cos 60 isin 148 C 0 75 cos 3 75 isin 32 25 E 81 cas 50 625 isin 1 874 161 C B x E y x 12 cos 105 1sin 105 B 81 cos 60 isin 148 D 81 sin 60 icos148 18 If a function is an odd function and x y is a point on its graph then which of the following will also 4 be a point on the graph A x D x y C x y

Question Number 15 of 20 7th Grade Math A cylindrical paint can has a diameter of 12 centimeters and a height of 16 centimeters Which is closest to the volume of the paint can in cubic centimeters

5 Simplify the following expressions 81 a 2

b 2 sin 20 3 Value 6 8 sin 2x 11 12 05x x sin 2x 1 3 2 ZOTT Six 1 5T 2017 3 2015 2 www

Dayshawn can choose two of his four t shirts to take on a weekend trip If the t shirts are labeled A B C and D which choice represents the sample space S for the event OS ABCD S ABCD DCBA S AB AC AD BC BD CD S AB BA AC CA AD DA BC CB BD DB CD DC 0000

suppose a certain baseball diamond is a square 86 feet on a side the pitching rubber is located 59 5 feet from home plate on a line joining home plate and second base how far is it from the pitting rubber to first base

valuate r v w 0 2 0 1 5 2 2 4 4 w 2011 10 RAMMERI ANT

1 The density of a certain type of paint is 1 2 grams per cubic centimeter A garage door that is 3 meters tall and 7 meters wide is to be painted with a 1 millimeter thick coat of paint on the outside only What is the mass in kilograms of the paint that will be needed to paint the door kg

at fand g are inverse functions a algebraically and b graphically 7x 1 3 4x g x 3 7 g x 3 x 4

Convert 9396 to a numeral in base 9 24900

Find the measures of the sides marked X and Y Then find the perimeter of the polygon Assume that all angles are right angles What is the measure of the side marked X in Type an integer or a simplified fraction 1 in X in 15 in in

Find the area of the circle 2 n The area is Type an exact answer in terms of t m 7m

Find the circumference of the circle Give the exact circumference and then an approximation Use x 3 14 Exact circumference mi www 21 mi