Math - Others Questions

Let A and B be two events defined on the same sample space such that p AB 0 5 P ANB 0 2 and p AB 0 1 Then p AUB O a 0 1 O b 0 0 O C NOTA O d 0 44 O e 0 9

If an estimated regression line has a y intercept of 10 and a slope of 4 then when x 2 the estimated value of y is Oa 15 O b 18 O c 14 d unknown

Not yet answered Marked out of 1 00 The coefficient of correlation O a is the square root of the coefficient of determination O b is the same as R O d can never be negative is the square of the coefficient of determination

Not yet Let A and B be events defined on the same sample space such that p AB 0 5 P ANB 0 2 and P AB 0 1 Then P A O a 0 3 O b None is correc O c 0 7 O d 0 2 Oe 0 4

Not yet answered Marked Given the least squares regression line y 2 48 1 63 x and the coefficient of determination of 0 81 the coefficient of correlation is O a 0 85 O b 0 9 O c insufficien information to compute O d 0 9 Oe 0 85

What is the slope of the line y 3 4x 2 5 O a insufficient information to determine Ob 3 4 O C 2 5 O d 3 4 O e 2 5

Which of the following values of the correlation r indicates the strongest correlation between the two variables a r 1 22 O b 0 75 O c 1 22 O d 0 81 O e 1 9

A regression analysis between sales in 1000 and price in dollars resulted in the following equation y 50 000 8X The equation implies that an O a increase of 1 in price is associated with a decrease of 8000 in sales O b increase of 8 in price is associated with an increase of 8 000 in sales O c increase of 1 in price is associated with a decrease of 8 in sales O d increase of 1 in price is associated with a decrease of 42 000 in sales

If the coefficient of correlation is 0 60 then the coefficient of determination is a 0 36 O b 0 6 OC 0 77 O d 0 36

If P A P B and P AUB then P A B 11 O a 1 O b 2 3 O C Od Oe 350 556 no correct answer

Not yet answered Marked out of 1 00 If p A 0 4 p B 0 5 and P ANB 0 2 then p B A O a 0 5 O b 0 2 O c no correct answer O d 0 4 O e 0 08

Not yet answered Marked out of 1 00 If P A B P A and P BA P B then A and B are O a no correct answer b Mutually exclusive O c Dependent O d independent Oe Equally likely

Adam wishes to have 18 000 available in 22 years to purchase a new car for his son as a gift for his college graduation To accomplish this goal how much should Adam invest now in a CD that pays 1 61 interest compounded quarterly Adam should invest now Round to the nearest cent as needed www

List the elements of the given set that are natural numbers integers rational numbers and irrational numbers Select all that apply 5 5 0 2 3 2 71 7 3 14 100 4 a natural numbers 5 5 0 3 2 71 T 3 14 100 4 X b integers 5 5 10 3 2 71 T 3 14

Find the distance between the given numbers Simplify your answer completely 10 8 WebAssign NumberLine 2 0 6 8 10

Complete the tables Simplify your answers completely 1 x X 1 2 10 100 1000 X 1 0 0 5 0 1 0 01 0 001 What happens to the size of the fraction 1 x as x gets large As x gets large 1 x stays the same As x gets large 1 x gets smaller As x gets large so does 1 x What happens to the size of the fraction 1 x as x gets small As x gets small 1 x stays the same As x gets small so does 1 x As x gets small 1 x gets larger 1 x

List the elements of the given set that are natural numbers integers rational numbers and irrational numbers Select all that apply 1 3 1 3333 3 5 34 300 12 V9 245 20 579 a natural numbers 1 3 1 3333 3 5 34 300 9 246 579 20 5 b integers 1 3 1 3333 3 5 34 D 300 013

Express the interval in terms of inequalities 7 10 7 x 10 10 x 0 07 x 10 07 x 10 07 x 10 Graph the interval Use the tools to enter your answer 10 00

1 x y ve z say lar s ras yla 2 3 ve 5 say lar ile ters orant l d r 6x 3y 10z 8 oldu una g re x ka t r A 6 B 5 C 4 D 3 E 2

A long year end status report for work is 81 pages long You need to print 19 copies for a meeting next week How much is the paper going to cost for those reports Paper is sold in reams 500 pages for 3 99 each Give your answer to the nearest cent only for the paper you yon

The distance between a and b on the real line is d a b X So the distance between 1 and 8 is 9

Rewrite the expression using the given property of real numbers Associative Property of Multiplication 3 4x Your answer cannot be understood or graded More Information

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Tulips O Roses Pink Yellow White Pink Yellow White Determine how many ways a respondent could answer all of the questions

Combine the Multiplication Principle and combinations to answer the question A certain multistate lottery game has a player pick 5 balls numbered from 1 to 69 then another ball that is a number from 1 28 How many different ways can these lottery numbers be picked ways

Write the expression without using exponents See Example 2 Objective 1 4t3

Find the value of the expression See Examples 3 5 Objective 2 32 2 1 4 2

Tutorial Exercise Find the value of the expression See Examples 3 5 Objective 2 2 3 Step 1 In the expression 32 3 is the base and 2 is the exponent The exponent of 2 indicates that the base of 3 is to be used as a factor expression as factors of 3 and simplifying we have 2 3 2 3 2 times Therefore rewriting the expon

Write the expression without using exponents See Example 2 Objective 1 4t3

Combine the Multiplication Principle and combinations to answer the question In a shipment of 30 portable stereos 8 are known to be defective In how many ways can a sample of 10 be chosen so that 2 ar defective and 8 are not defective ways

Find the value of the expression See Examples 3 5 Objective 2 G 7 3

Find the value of the expression See Examples 3 5 Objective 2 3 5 2 2 8 5

Find the value of the expression See Examples 3 5 Object 2 5 4

Find the value of the expression See Examples 3 5 Objective 2 2 5 4

Tutorial Exercise Find the value of the expression See Examples 3 5 Objective 2 9 3 2 82 2

Write the expression without using exponents See Example 2 Objective 1 5z 4

Find the value of the expression See Examples 3 5 Objective 2 2 5 3

Use an inverse matrix to solve each system of linear equations a x 2x2 x3 0 X1 2x2x3 2 X1 2x2 x3 4 X1 X2 X3 b x 2x x3 1 X1 X 2x2x3 3 X1 2x2 x3 3 X1 X2 X3

A child goes to a concession stand at a basketball game and has two choices to make for a drink Choice 1 Size small medium or large Choice 2 Type of drink soda or lemonade Draw a tree diagram to represent all possible answers to the questions Tree Diagram Select Medium Large Select Description Lemonade Select Lemonade Soda Select C Determine how many ways a respondent could answer all of the questions

Find the inverse of the matrix if it exists If an answer does not exist enter DNE 2 1 1 3 5 10 16 19

Show that B is the inverse of A AB BA 3 1 B 52 A 2 1 5 3 I I

Show that the matrix is invertible and find its inverse 8 A 1 A si sin 8 cos e cos 0 sin 0

Find x such that the matrix is singular X A x 2 7 4

7 y f x 1 f x

Solve for X in the equation given A a 3X 2A B X b 2A 5B 3X X 11 c X 3A 2B 0 X d 11 6X4A 38 0 11 11 11 5 0 4 2 3 and B NHA 2 4 1 2 1

Perform the indicated operations when A A IA 0 1 1 2

Find the matrix product ABC by grouping the factors as AB C and grouping the factors as A BC Show that you obtain the same result from both processes C 0 1 1 1 1 6 0 A 4 B 4 9 33 a AB 8 AB C b BC 11 A BC 11

Find ATA and AAT A 1 1 5 0 2 a ATA 100 b AAT 000 4

Evaluate the expression 0 4 7 3 2 74 33 9 6 1 9 8

sider the following matrices 1 0 0 Z 1 a Find scalars a and b such that Z ax by a b X 1 Y 2 W a b c 1 1 b Do there exist scalars a and b such that W ax bY Yes O No c If ax bY CW 0 is it true that a b c 0 Yes O No d Find scalars a b and c not all equal to zero such that aX bY cZ C