Questions

Justin received the following marks on his first four Math tests 86 76 82 and 77 What mark must he receive on the fifth test in order to have an average mark of 81 on the five tests

Compute the adjugate of the given matrix and then use the Inverse Formula to give the inverse of the matrix A 134 1 1 2 015 The adjugate of the given matrix is adj A

a What numbers must probabilities be between b What must the sum of the probabilities in a probability model sum to

Identify the following variables as Qualitative or Quantitative a Colour click to select b Shoe size click to select

by trigonometric parametric equations Question What are the critical points for the plane curve defined by the equations t tant y t cost and t Write your answer as a list of values of t separated by commas For example if you found t 1 or t 2 you would en

Find the area of a rectangle 68 8 cm by 18 3 cm The area of the rectangle is Type a whole number or a decimal Round to the po

1 Find the perimeter of a rectangle that is 7 yd by 8 yd The perimeter of the rectangle is Type a whole number or a decimal yd yd

9 fti 9 ft C Find the perimeter Use 3 14 for 1 The perimeter is Simplify your answer Type a whole number or a decimal Round to the nearest hundredth as needed

In circle V mYX 106 Solve for x if m YW X 8x 38 If necessary round your answer to the nearest tenth Y W X 4

2 Jim is fencing is a triangular shaped area that forms a right triangle The longer side of the triangle is eleven feet less than twice the shorter side The hypotenuse is three feet less than twice the shorter side How many feet of fencing will Jim need to complete the fence 126 feet none of these choices 12 feet 28 feet

How much larger is a pizza made in a 20 in square pizza pan than a pizza made in a 20 in diameter circular pan Use 3 14 for 20 in 20 in 20 in A pizza made in a 20 in square pizza pan is larger than a pizza made in a 20 in diameter circular pan Simplify your answer Round to the nearest hundredth as needed

Find the length of the radius the circumference and the area of the circle Use 3 14 for T 39 ft The radius is Simplify your answer Type a whole number or a decimal The circumference is approximately Simplify your answer Type a whole number or a decimal Round to the nearest hundredth as needed The area is approximately Simplify your

Find the perimeter of the square 57 6 mm on a side The perimeter is Type a wholo

Find the area of the shaded region Each side is 7 cm

Find the area of the parallelogram 4 cm 13 cm The area is Simplify your answer Type a whole number or a decimal

Find the perimeter of the figure on the right Use 3 14 for 4 yd L The perimeter is approximately Simplify your answer Type a whole number or a donimo 4 yd

Find the length of the diameter the circumference and the area of the circle 22 Use for t 7 5 cm The length of the diameter is Simplify your answer Type a whole number or a fraction The circumference of the circle is approximately Simplify your answer Type a whole number or a fraction The area of the circle is approximately Simplify your answer Type a whole number or a fraction

Find the area of the baseball diamond 90 ft 90 ft

Find the absolute extremum if any for the following function f x 5x4 7 Select the correct choice below and if necessary fill in the answer boxes to complete your choice A The absolute minimum is at x 0 OB There is no absolute minimum Select the correct choice below and if necessary fill in the answer boxes to complete your choice A The absolute maximum is at x B There is no absolute maximum

A rain gutter is to be installed around a house whose foundation is shown to the right Find the perimeter of the house then find the total cost of the gutter The gutter costs 4 34 per ft The perimeter is The total cost of the 34 ft 19 ft 73 ft 31 ft

Find the perimeter of the rectangle 2 cm by 13 cm The perimeter of the rectangle is m cm C

A rectangular table is twice as long as it is wide What is the perimeter of a table if it measures 3 ft by 6 ft The perimeter of the table is Type a whole number or a decimal

b Frequency Polygon Frequency 50 40 30 20 10 0 5 10 15 20 25 30 35 40 45 50 55 34

Find the derivative of a curve defined by polynomial parametric equations Question What are the critical points for the plane curve defined by the equations t t 2t t 1 and y t t 6 v your answer as a list of values of t separated by commas For example if you found critical points at t 1 and t 2

Graph the function Show work 4 y x 4x The parabola opens Axis of symmetry Vertex

If mEK 42 and mAW 128 find m Q A E Q K W

Graph the function Show work 2 y 2x 8x 10 The parabola opens Axis of symmetry Vertex

Subject Finance Statistics Accounting Marketing English Mark 82 80 86 74 72 What is the weighted arithmetic mean mark for all five n Weight 5 4 3 2 1

Calculate the range for the following datasets Range 1 17 19 14 10 9 4 10 7 83 92 50 53 59 79 89 66 99 86

For each of the following graphs describe the shape of the distribution and state which measure of centre mean or median has a higher value You do not need to calculate these values a Dot Plot 000000 00004 0000 00 oe

B y 2x 8x 6 a b 8 The parabola opens down baause a is negative Find the axis of symmetry X 1 Find the vertex X 2 484 6 X 262 8 2 4 2 2 O you 3 0 y 2 3 48 3 6 yro X 2 0 8 2 6 4 6 45 6

Identify the following variables as Continuous or Discrete a Room temperature click to select b Months in a year click to select

Graph the function Show work 1 y x 6x 11 The parabola opens Axis of symmetry Vertex 3 2 up Q 1 6 6 C 11 3 3 6

What is the average length of the following 2 3 inches 4 1 8 inches 4 5 inches 2 4 inches 5 1 8 inches 7 1 20 NIN inches 6 inches

For the following set of sample data calculate the range variance and standard deviation Range Variance Standard Deviation Ramble 20 10 76 54

Graph the function Show work 3 y x 4 The parabola opens Axis of symmetry Vertex

Determine if each of the following scenarios is possible a A data set has a negative standard deviation O Possible O Not Possible

Find the particular antiderivative of the following derivative that satisfies the given conditio 192 dR dt 15 GEEN H 1 R 2 54

Determine the Median 1st and 3rd Quartiles Interquartile range and Outlier for the following data set Median HI 88 79 77 87 80 115 86 79 79

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

Calculate the 1st and 3rd Quartile for each of the following datasets 1st Quawhil 20 6 11 4 18 2 21 15 1 18 19 6

The weights in kilograms of a group of ten randomly selected men are as follows 89 83 82 94 89 89 82 89 83 84 Calculate the mean and the standard deviation Round to two decimal places wherever applicable

Click to see additional instructions Use the following information to answer questions 2 3 and 4 To measure primary production of algae in a stream you place two sealed chambers in the stream each enclosing the sediments as well as the water above them One chamber is covered with black tape blocking all light while the other is transparent to light You measure dissolved oxygen DO before and after a 24 hour incubation DO in the light chamber increased by 1 5 g m2 while DO in the dark chamber decreased by 2 0 g m2 Hint You have all the information you need to answer the following 3 questions you do not need initial and final DO values Think carefully about what is actua being measured in each of the two chambers What is the estimated ecosystem respiration Re for the stream Enter ONLY A NUMBER The units for your answer are g 02 m 2 day 1 Question 3 of 7 1 Points Click to see additional instructions What is the stream s esitmated NEP net ecosystem production Enter ONLY a number The units for your answer are g 02 m 2 day 1

3 Which graph corresponds to the function y 8 A 6 4 C 4 2 A 6 8 8 X graph A O graph B graph C O graph D B 8 6 4 2 D x 2 x 3 8 6 4 2 21 4 6 2 4 6

Which part of the sample introduction is Section 2 A This is the hook that gets the audience s attention B This is the introduction of the author and title C This is the brief summary that recaps the plot D This is the thesis that identifies the literary devices and a theme or message

The plot below represents the function f x 5 43 2 1 5 4 3 2 1 1 2 5 Evaluate f 1 1 2 3 4 5

The point P 24 y lies on the unit circle shown below What is the value of y in simplest form P x y Note the figure is not drawn to scale L

91 and m MTF 82 find mLU ImMF F T L M U

The unit circle below shows 85 and 85 Find the values below rounded to three decimal places if necessary 0 087 0 996 85 O 85 0 087 0 996 cos 85 cos 85 cos 85 L

The unit circle below shows 125 and 125 Find the values below rounded to three decimal places if necessary 0 574 0 819 0 574 0 819 125 125 sin 125 I sin 125 sin 125