Basic Math Questions and Answers

et P x be the predicate 5x 1 is even a Is P 5 true or false b What if anything can you conclude about P x from the truth value of P 5 P x must be true P x must be false OP x could be true or could be false c What if anything can you conclude about VxP x from the truth value of P 5 OVxP x must be true VxP x must be false VxP x could be true or could be false

et P x be the statement the word x contains the letter a What are the truth values of the following 1 P lemon 2 P orange 3 P true 4 P false

Pick the expression that matches this description A polynomial of the 5 th degree with a leading coefficient of 7 and a constant term of 6 Choose 1 answer

Solve the equation 10 1 25 Round your answer to the nearest hundredth

A bank account starts with 3 00 The amount in the account doubles every Write a function to express the total amount of money A t in the account after t yea 1 t Part B After how many years will the account have 1536 00 years

es of squares can be inscribed as shown in the diagram so that each successively smaller square han one half the area of the previous square square has an area of 6 4square feet Let the first inscribed square be square 1 the second be square 2 and so on a Which expression represents the area of the 12th square ON 64 12 b Which function A represents the area of the nth square where in represents the total number of b 4 n 64 n 3 O A n 64n 3 A n 64n n 4 n 64

Suppose that for some positive real number a that Part A What is the value of a 0 0x x x x b xab 3 Part B Which exponent properties did you use to find the answer to Part A Select all that apply Sepis xa b a a a 8

A ship is 2 2 off course If the ship is traveling at 26 0 miles per hour how far off course will it be after 8 hours Round your answer to two decimal places mi

1 point The population of Middle earth in billions is given by P t 8e0 018t where t is the time in years since 2000 What is the doubling time for the population of Middle earth Round to two decimal places years

C When does Medford first have more than 12 hours of daylight Show how to use your function to answer this question and solve the equation by hand Round your answer to the nearest tenth of a month 177 50 Sin 12x 549 equation 12 hours Iminute 721 minutes 5m 12X 1 519 721210550 54A7 50 sin 8659 57549 172 177 50 Sin 12x 177 SO

a Use the linear approximation of atx 4 to estimate 4 1

10 points Nutritional researchers want to investigate the effectiveness of a special higil reducing serum cholesterol level in men 22 randomly selected men were given the SHF diet for two months and their cholesterol level measured 30 men in the control group are given regular diet The following sample results are available Treatment Group Individuals on SHF diet 22 110 10 Sample Size Sample Mean Average cholesterol level in mg dl Sample Standard Deviation Test the hypothesis that there is no difference in average cholesterol levels of the two populations a State the null and alternative hypotheses in this box Answer written outside this box will not be considered b What is the degree of freedom for this test Control Group Individuals on regular diet 30 120 8 Write your answer in this box Answer written outside this box will not be considered d Test the hypothesis using a 0 01 Show work below and write your conclusion in this box Conclusion written outside this box will not be considered c What is the critical value for testing the above hypothesis using 1 level of significance Write your answer in this box Answer written outside this box will not be considered

Find the partial sum of the geometric sequence with the given first term and common ratio 16 a 44 r 2

2 10 points John is interested in estimating average amount spent per visit by customers at Starbucks located on campus at the Big State University It is known that consumer spending at Starbucks is normally distributed He took a sample of 5 individuals and details about the sample are given below Let X represent amount spent by customer on a Starbucks visit Customer Adam Jack Ravi Mary Mart Column Sum X 5 50 6 50 6 50 8 50 5 50 32 5 x x 1 0 0 4 1 a What is the sample ayerage X Write your answer in this box Answer written outside this box will not be considered b What is the sample variance s Write your answer in this box Answer written outside this box will not be considered c What is X X for this sample Write your answer in this box d What is calculated test statistic value for testing Ho 7 against H1 7 Show work below for for full credit Write your answer in this box e What is critical value for testing the Ho 7 against H 7 when a 0 1 Write your answer in this box f Test the hypothesis Ho u 7 against H 7 using 10 level of significance and write your conclusion in this box Conclusion pritten outside this hox will not be considered

lil Emil has a piece of black photo background paper that is 16 in wide and 24 in long They cut off one strip that is 4 in wide and 16 in long Which of the following is the area of the piece they have left in square inches in 0 1 64 cr H INCORRECT This is the area of the strip that is removed 4 x 16 64 in INCORRECT 30 This would be the area if 4 in were removed from each side 16 4 12 24 4 20 12 x 20 240 in 240 320 X 384 X My Answer CORRECT The area of the remaining piece can be found by thinking of a 4 inch piece being cut from the 24 inches in length to create a new 16 x 20 inch paper 16 in x 20 in 320 in The area could also be found by finding the original urea 16 in x 24 in 384 in and subtracting the piece that was removed 4 in x 16 in 64 in 384 in 64 in 320in X

a Family Budget Analyzing One way to present a budget is in a circle graph You can see at a glance which categories take the greatest part of the family s resources You can also work backward from a circle graph to figure out exactly how much money is in each category Use the circle graph to complete the table for the Baker family s monthly budget Their net monthly income is 4 000 STEP 1 STEP 2 STEP 3 STEP 4 STEP 5 Enter the income in the table Enter the percent or amount of money for each category from the circle graph in the table Calculate the amount of money or the percent for each category in the table Food Determine which expenses are fixed and which are variable Place X s in the appropriate columns Complete the Amount Available column Net monthly income Housing cost Savings Net monthly income income the family has after ta Item Clothing Medical Entertainment Transportation Emergency fund Amount Percent 96 Baker Family s Monthly Budget Emergency fund 3 Transportation car expense bus passes 400 Medical insurance and additional expenses 600 Clothing 8 Entertainment Variable Fixed Expense Expense Savings 320 Amount Available Housing cost house payment and Insurance 1 400 Food 15

1 10 points A survey is taken among customers of a fast food restaurant to determine their preference for hamburger or chicken Of 200 respondents selected 75 were children and 125 were adults 120 preferred hamburger and 80 preferred chicken 55 of the children preferred hamburger a What is the probability that a randomly selected individual is an adult Write your final answer in this box Answer written outside this box will not be considered b What is the probability that a randomly selected individual is a child and prefers chicken Write your final answer in this box Answer Answer written outside this box will not be considered c What is the probability that a randomly selected individual is an adult given that the individual prefers hamburger Write your final answer in this box Answer written outside this box will not be considered d What is the probability that a randomly selected individual prefers hamburger given that the individual is an adult Write your final answer in this box Answer written outside this box will not be considered e The events being an adult and prefers hamburger are dependent True or False Write your final answer in this box Answer written outside this box will not be considered

Solve for t 0 t 2 21 cos t 15 cot t sin t I t 3x 22 Give your answers accurate to at least two decimal places as a list separated by commas

Suppose one has a sample of 12 observations n 12 from a population with unknown distribution Which of the following is true when constructing confidence intervals in this situation We cannot construct meaningful confidence interval in this situation If population variance is unknown use t distribution If population variance is known use standard normal distribution

Solve the following equation in the interval 0 27 Enter exact solutions as a list separated by commas sin B 1 2 2 4

In a very large statistics class John s z score in an exam is 2 0 What does it mean John did very poorly he scored only 2 points in the exam John s score is two standard deviations below the mean John scored 2 points below the class average John s score is less than the standard deviation The class average is very low John is in the bottom 2 of students in the class

Consider a population that is normally distributed whose population mean and population variance are unknown For this population to test the null hypothesis 20 versus the alternative hypothesis u 20 at 99 percent level of significance the critical value is Bigger than 2 58 Smaller than 2 58 2 58 None of the above because the degrees of freedom is unknown

Test scores in a large organic chemistry class are normally distributed with a mean of 68 and standard deviation of 10 What is the probability that a randomly selected student has a test score greater than 87 6 0 876 0 025 0 0125 0 05 0 975

In a standardized test administered for all 6th graders by the Arizona Department of Education Jill s score in reading comprehension is reported as 78th percentile What does it mean Jill can read 78 of words in the test Jill s score in reading comprehension is 78 78 of all students who took the test scored the same as or below Jill s score 22 of all students who took the test scored the same as or below Jill s score O Jill answered 22 of all questions correctly

A carnival offers two versions of a game in which you win a prize when a red marble is drawn from a box Two versions of the game are offered Game A The box has 4 red marbles 1 black marble and 5 green marbles In this version of the game you draw one marble randomly If the marble is red then you win the prize and the game ends immediately If the marble is green you do not get any prize and the game ends immediately If the marble is black then the black marble is thrown away and you are allowed to draw one more marble from the remaining marbles with red marble resulting in the prize Game B The game starts without a black marble i e the box has 4 red marbles and 5 green marbles In this version of the game you draw one marble randomly If the marble is red then you win the prize and if the marble is green you do not get any prize In which version of the game do you have a higher probability of winning the prize Game A Game B The probability of winning the prize is the same in both games

Speech Write a sentence for each word and EXERCISE B Using Words as Different Parts part of speech given in parentheses EXAMPLES hand verb Please hand me that towel Which hand do you usually write with hand noun 1 for conjunction Thcouldn t go to the party for I was feeling SICK 2 for preposition I bought this gift for my friend s birthday 3 will noun 4 will verb 5 winter adjective

The heights in inches of adult men in a certain country are normally distributed with a standard deviation of 8 The mean height of a random sample of 100 adult males is found to be 72 inches that is xbar 72 What is the standard error of xbar Cannot be computed with the given information 0 08 0 8 8 8 75 064

Suppose you play a game with a biased coin The game consists of tossing the coin once For this biased coin the probability of landing heads is 2 3 and the probability of landing tails is 1 3 If you toss a head you pay i e lose 6 and if you toss a tail you win 11 If you play this game a great number of times then most likely you will come out ahead most likely you will come out even that is most likely your net payoff 0 most likely you will not come out ahead

Suppose you are constructing confidence intervals using a normal table What Z value would you use for a 96 16 confidence interval 1 77 0 8315 1 96 2 07

Suppose X is normally distributed with mean 10 and standard deviation 2 What is the Inter Quartile Range IQR for X 0 3375 Cannot be computed with the given information 1 35 0 675 0 2 7

Complete the assignment and upload your answers to Canvas Make sure you read through the Round to nearest tenth 3500 kg 12 x 14 x 20 360 Cubic meters 4550 pounds 800 centimeters 15 boxes with dimensions 35 x 25 x 30 5 crates with dimensions 2 x 2 x 4 Find the density in lbs cbf round to nearest tenth 180 pounds 15 x 15 x 20 150 cf 90 kg Round up to nearest 1 100th 8 of 85 360 5 of 2 100 pounds lbs cubic feet cbf kg cubic feet inches lbs cbf lbs cbf cubic meters cubic meters

3 Solve for x A 4 marks 1 a 5 x 125 b logs 2x 3 2

Find a general solution y x to the following differential equation using the method of undetermined coefficients y 2y y e

Kyle needs at least 10 cups of flour for an experiment He has 3 cups of flour Write an inequality to represent the remaining cups of flour f Kyle needs for his experiment Drag and drop the appropriate inequality sign and value into the boxes A VI 3 7 10

5 10 Solve for X O 20 U 9 T 110 V

A 2x 19 D 7x 6 Solve for x X A 19 2x 7x 6

m SPQ 86 Q T S Angle SPQ P 60 154 R

MACE O 144 find the measure of arc ACB O 120 250 A 288 36

Solve For Xim HJK lux 50 m2 HRJ 8x 29 x 7 x 18 x 13 x 24

Find The Value For X and Y x 90 and y 50 x 90 and y 230 Ox 30 and y 90 x 50 and y 90 yo

Solve For X and Y Y Ox 40 and y 80 Ox 15 and y 30 Ox 50 and y 100 Ox 20 and y 40

Sorve ay Ox 11 and y 6 Ox 15 and y 3 5 x 8 and y 10 x 10 and y 5 5 For X ano 14X 24

12 Based off the circles below what fraction of the circle is shaded knowing that it s cut into equal pieces Write your answer next to each circle b a

Who is the intended audience for Amiri Baraka s poem Why Is We Americans O White Americans All of these answer choices Native Americans African Americans

Solve for x G 31x 3 E 011 9 F 192

B C A The following angle can be described as Select

Find the indicated arc 98 122 140 49 B 70 C

Solve for the indicated angle ww B 80 O 160 80 C

Find the measure of the indicated angle 85 O 275 O 155 155 120

4 Find the midpoint of the line segment joining the following two points 0 0 0 and 7 1 5 and 2 7 1 5 2 O 1 75 0 375 0 5 3 5 0 75 1