Permutations and Combinations Questions and Answers

Perform the division. - 8x5+20x6 10x6 - 8x5 + 20x6 10x6 (Simplify your answer.)

Divide. If the divisor contains 2 or more terms, use long division. 4x³-22x² - 4x 4x The answer is (Simplify your answer. Use integers or fractions for any numbers in the expression.)

How many outcomes are possible for one event of a binomial experiment? 01 OOO O2 O 3 4

Solve the system of equations by the substitution method. 1 5x-y=3 x - 5y = 15 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution is (Simplify your answer. Type an ordered pair.) OB. There are infinitely many solutions; OC. There is no solution; or Ø. 1 {(x,y) = x - y = 3} or {(x,y)|x - 5y = 15).

Solve the system of equations by the substitution method. y= 2x+1 4y - 5x=13 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution is (Simplify your answer. Type an ordered pair.) OB. There are infinitely many solutions; {(x,y)ly = 2x + 1} or {(x,y)|4y - 5x = 13). OC. There is no solution; or Ø.

Which of the following is a binomial experiment? O A survey asking 75 people to name their favorite color O A survey asking 75 people to give their age O A survey asking 75 people whom they voted for in the election OA survey asking 75 people if they like the new school building

Janie flips a coin 70 times and records if it comes up heads. If getting heads is a success, what is the probability of a failure? 0.2 0.5 0.7 1.00

Solve the system of linear equations by graphing. 2x-y=9 y=1 Use the graphing tool to graph the system. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution of the system is (Type an ordered pair.) OB. There are infinitely many solutions; {(x,y) |2x -y=9) or ((x,y) ly=1} OC. There is no solution; or Ø. 10. 10 48 Ay Q Q

Without actually solving the problem, choose the correct solution by deciding which choice satisfies the given conditions. The length of a rectangle is 7 feet longer than the width. The perimeter is 26 feet. Find the dimensions of the rectangle. Which choice satisfies the given conditions? OA. length=10 feet; width=3 feet OB. length=9 feet; width=2 feet OC. length=9 feet; width = 4 feet www

Find the quotient using long division. x² + 4x +3 x + 3

Evaluate the expression with the given replacement values. - 3xy³ when x = 2 and y = - 4

Write the following number in standard notation. 4.972x10-6 4.972x10-6- =

Use the slope-intercept form to graph the equation 2x - 5y = - 15. Use the graphing tool to graph the equation. Use the slope and y-intercept when drawing the line. Click to enlarge graph

Applying Time Value. You invest $1,000 today and expect to sell your investment for $2,000 in 10 years. (LO1) A. Is this a good deal if the discount rate 6%? B. What if the discount rate is 10%?

The weights of boxes of candies produced in a factory are normally distributed with a mean weight of 16 oz and a standard deviation of 1 oz. What is the weight of a box of candies with a z-score of 2? O 16 oz 18 oz 20 oz O 22 oz

Solve the system of linear equations by graphing. y=x+3 y=2x-1 Use the graphing tool to graph the system. Click to enlarge graph

The amount of daily time that teenagers spend on a brand A cell phone is normally distributed with a given mean μ = 2.5 hr and standard deviation o = 0.6 hr. What percentage of the teenagers spend more than 3.1 hr? O 5% O 10% O 16% O 32%

Find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of these. 3x +5

Solve the system of linear equations by graphing. { y - 4x = 1 8x-2y = -2 Use the graphing tool to graph the system. + Click to enlarge graph

Find the slope of the line. y = -4x+6

systems by grap Solve the system of linear equations by graphing. x+y = -1 x+y = 3 Use the graphing tool to graph the system. Click to enlarge graph Part 1 of 2 Ay O Points: 0 of 1 OU

line from y=mx+ Use the slope-intercept form to graph the equation. y = - 4x Use slope and y-intercept when drawing the line. Click to enlarge graph ***

Find the inverse of the following one-to-one defined function: f(x) = 7x² + 4 for x ≥ 0 >

1 Use the slope-intercept form to graph the equation y = -x + 1. Use the graphing tool to graph the line. Use the slope and y-intercept when drawing the line. Click to enlarge graph

Solve the absolute value inequality. |x-2|25 Select the correct answer below and, if necessary, fill in the answer box to complete your choice. OA. The solution set in interval notation is (Simplify your answer.) OB. The solution set is Ø.

Perform the indicated operation. (4x3-10x² +8x-9) - (10x³ - 7x² - 7x+9) Write the polynomial in standard form. (4x³-10x² +8x-9) - (10x³ - 7x² - 7x + 9) = What is the degree of the polynomial? (Type a whole number.)

coord sy Find the x- and y-coordinates of the point B. The coordinates of B are (Type an ordered pair.)

Solve the absolute value inequality. |4x-2|<14 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution set in interval notation is (Simplify your answer.) B. The solution set is Ø.

Solve the system of equations by the addition method. -2x+y = -5 8x-4y = 20 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution is (Simplify your answer. Type an ordered pair.) OB. There are infinitely many solutions, {(x,y)-2x+y=-5) or ((x,y) |8x-4y=20}. OC. There is no solution; or Ø.

3- Solve the following second order ODE. xy" - COS y' + sin x y = 0, x>0

A group of five friends, which includes a set of non-identical twins, lines up for a picture. In how many ways can they be arranged if the twins do not want to stand beside each other? A

Graph the linear equation. y=2 CIER Use the graphing tool to graph the linear equation. Click to enlarge graph AB 10 10 8- 6 AY D 4- 10 G G D

Determine whether each ordered pair is a solution of x Is (0,0) a solution of the given linear equation? Yes No Is (-1,7) a solution of the given linear equation? O No OYes

Find the x-and y-coordinates of the point C The coordinates of Care 0 (Type an ordered pair) 24 2 O Points: 0 of 1 Q 5

Plot the ordered pair (5,5). State in which quadrant or on which axis the point lies. Plot the ordered pair on the graph to the right.

Write the number in scientific notation. 85,000 85,000= (Use the multiplication symbol in the math palette as needed.)

Write the number in standard notation. 3.5×10 -3 -3 3.5×10 =

Write an equation that can be used to solve the problem. Find the solution to the problem. Angles A and B are complementary angles. Determine the measures of angles A and B if angle A is 14 times the size of angle B. What is the measure of angle A?

Evaluate the piecewise function at the given values of the independent variable. g(x) = (a) g(0) (b) g(-7) (c) g(1) X+4 -(x+4) (a) g(0) = 4 (b) g(-7)= 3 (c) g(1) = if x2 - 4 if x < -4 ...

Find the degree of the given polynomial and determine whether the polynomial is a monomial, binomial, trinomial, or none of these. -9x³y4-9x7y+5x4y² The degree of the polynomial is. Is -9x5y4-9x7y+5x4y2 a monomial, binomial, trinomial, or none of these? monomial binomial trinomial none of these

The length of a rectangle is two more than the width. If the width c represented by y, then write an algebraic expression that describes the length.

Solve the equation for y. Write the answer in y=mx+b form. y+5= -7(x-3) y= (Use integers or fractions for any numbers in the expression.)

A standard 52-card deck contains four aces, twelve face cards, thirteen hearts (all red), thirteen diamonds (all red), thirteen spades (all black), and thirteen clubs (all black). Of the 20,358.520 different six-card hands possible, decide how many would consist of the following. a) all diamonds b) all black cards c) all aces

How many significant figures are in this mass? 60,100 mg

Ex: Solve the system using elimination. que y + 11 = 2x (4+ 5x + y = 2y +30

Find the slope of the line. 6x + y = 6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The slope is OB. The slope is undefined. (Simplify your answer. Type an integer or a fraction.) HI

a) log3√27 log3 27 = 1093 (3³) 1093 39 * 10ga (a)=x + 34 11 7. Evaluate each of the following. Show all steps. (6 marks) 1 b) logs 125 c) log3 √81 = d) log, 54-log3 6+log3 (

Simplify. See Example 4. (Objective 3) yy² I

The leading coefficent of the polynomial f(x) = -(x - 1)² (1 - 2x) (x + 3) is: a) 2 b) 5 c) 1 d) -1

You want to determine how many grams are in 43 mg. 43 mg ? Which choice goes in the green box to cancel out mg? A. 1 mg B. 10-³ g C. 10³ g