Basic Math Questions and Answers

DETAILS A hyperbola is the set of all points in the plane for which the Select of the distances from two fixed points F and F2 is constant The points F and F2 are called the Select of the hyperbola

Determine whether the given vectors are perpendicular u 4i 8j v 6i 3j Yes No DETAILS Find the indicated quantity assuming u 5i j v i 3j and w 3i 2j

DETAILS Find an equation for the ellipse that satisfies the given conditions Foci 4 0 vertices 5 0

Find an equation for the ellipse whose graph is shown 13 B 10

Given the mean of a normally distributed data set is 320 and the standard deviation is 20 which of the following statements is true O All options are correct Approximately 95 of the data lies between 280 and 360 Support Approximately 68 of the data lies between 300 and 340 O The median is 320

Warner Company purchases 53 600 of raw materials on account and it incurs 61 000 of factory labor costs Journalize the two transactions on March 31 assuming the labor costs are not paid until April Credit account titles are automatically indented when amount is entered Do not indent manually Date Mar 31 31 Account Titles and Explanation Raw Materials Inventory Accounts Payable To record raw materials purchased Wages expenses Wages Payable To record factory labor costs Debit 53600 61000 Credit 111 53600 61000

Given the matrices A 3 4 1 A It is possible B If multiplication is possible what is AB 0 17 3 1 5 2 5 32 6 12 3 0 33 4 5 4 3 1 2 to multiply these matrices in this order AB 1 and B 0 1

addition rule O When calculating the chance of A or B When you want to know the probability of or B but not both When calculating the chance of A and B When you know how often an event does not occur Next Worksheet

3 Express the answers to the following problems with the correct number of sig fig A 5 7 x 38 61 B 3 00 x 8 000 C 25 00 5 00 E 23 8 6 44 G 2 156x105 x 3 514x104 D 250 x 333 3 F 0 0150 0 00254 H 55 6 02x1023

Callers had hold times of 2 20 15 10 1 8 6 12 4 and 3 minutes for one hour of a day Find the standard deviation of hold times for that hour 5 86 minutes 8 1 minutes 6 17 minutes 38 10 minutes Report an Erm question 4 a

Which of the following is NOT an example of exponential decay O The number of text messages you get is half during the night what it is during the day O The number of members of a religious congregation decreases by 2 each year Report an Error question 3 of 5 O The number of phone calls you receive in response to an advertisement decreases by 20 each day after the ad runs O The number of bacteria in a petri dish decreases by 10 each hour

mplete this quiz to finish the assignment for ALG 2 Period 4 due on Feb 6 2023 If a cone has a base with radius 4ft and its height is 8ft what is the volume of the cone 134 04ft 3 O 64ft 3

Find the size of the matrix 3 1 3 0 A 4 1 5 5

If A is a 1 x 5 matrix and the sum A B can be computed what is the size of B Question Udar mu

Tickets for a raffle cost 8 There were 689 tickets sold One ticket will be randomly selected as the winner and that person wins 1700 and also the person is given back the cost of the ticket For someone who buys a ticket what is the Expected Value the mean of the distribution If the Expected Value is negative be sure to include the sign with the answer Express the answer rounded to two decimal places Expected Value

Find the size of the matrix 14055 5 3 1 3 0 2 2 1 1 3 4 1 5 1 4 3 5 5 4 0 5

A bag contains 1 gold marbles 10 silver marbles and 21 black marbles Someone offers to play this game You randomly select one marble from the bag If it is gold you win 3 If it is silver you win 2 If it is lack you lose 1 What is your expected value if you play this game

Suppose your top drawer contains different colored socks 8 are white 6 are black 14 are pink and 4 are blue All socks in the drawer are loose unpaired In the morning you randomly select two socks one at a time Calculate the following probabilities writing your answer either as a decimal or a fraction a What is the probability that you get a blue pair of socks 0 0117 b What is the probability that you do not get a blue pair of socks 0 988 c What is the probability that you get either a white pair or a blue pair of socks 0 066 x d What is the probability that you get one black sock and one white sock 0 967 X

During the first four Summer Olympic games attended by the United States these medal counts were awarded If there is an outlier identify it from the number of medals won during these Olympic Games Olympic Site Athens Paris St Louis London 20 239 Year 1896 1900 1904 1908 There is no outlier O 47 Medal Count 20 47 239 47

multiplication rule O When calculating the probability of both A and B When calculating the chance of A or B bu not both O When calculating the chance of A or B When you know the chance of an event not happening Next

10 C 6 5 8 7 9 3 6 5 1 5 4 O 3 10 9 8 7 6 5 4 3 2 1 2 10 1 2 3 1 2 3 14 Use the graph to fill in the table below If a y value is undefined or a limit does not exist type DNE lim f x lim f x lim f x f c Is f x continuous at x c Z C I C I C 5 6 7 8 Select an answer Select an answer 9 10 No the y value is not defined No the limit does not exist Yes No the y value does not equal the limit Select an answer Select an answer Select an answer

A pet store surveyed 132 people to gather information about the types of pets they own The table below gives the results for two types of pets Number of people 66 85 47 Own a bird Own a dog Own both a bird and a dog Construct a Venn diagram illustrating these results Then answer the questions All people in the survey Own a bird 7 uttons change the Venn diagram Own a dog 0 How many people own a dog but not a bird people How many people own a bird or a dog or both people S

For each given set determine if the set is finite or infinite If finite give the cardinality a c e g h i j k l m b 52 53 54 55 Set c The set of integers greater than 16 Is the set finite or infinite finite cardinality infinite finite cardinality O infinite finite cardinality O infinite

Given a mean of a normally distributed data set is 70 and the standard deviation is 5 which of the following statements is true None of the options are correct O Approximately 68 of the data lie between 50 and 90 Approximately 95 of the data lie between 60 and 80 O Approximately 95 5 of the data lie between 55 and 85 Support

If a cone has a base with radius 4ft and its height is 8ft what is the volume of the cone O 134 04ft 3 O64ft 3 Report an question

Look at the formula below Which of the following statements is FALSE A Ne rt 1 O t is the amount of time that has padmed O r is the percent that is left after each period of time Report an Error question 2 of 5 O A represents the amount of something at the end of some period of time O N represents the amount of something at the beginning of some period of time

Which of these situations would represent exponential decay Report an Error question 1 of 5 O The number of cookies in the cookie jar decreases O The number of bananas my dog eats increases by by 2 each hour 20 each week O The number of friends I have on facebook decreases by 1 each day O The number of fish in a lake decrease by half each month

What type of graph is this O Quadratic O Exponential Power Logarithmic

Brigeth buys a bag of cookies that contains 5 chocolate chip cookies 7 peanut butter cookies 7 sugar cookies and 7 oatmeal cookies What is the probability that Brigeth reaches in the bag and randomly selects a sugar cookie from the bag eats it then reaches back in the bag and randomly selects a chocolate chip cookie Round your answer to four decimal places

A jar contains 4 red marbles numbered 1 to 4 and 12 blue marbles numbered 1 to 12 a A marble is chosen at random If you re told the marble is red what is the probability that it has the number 2 on it b The first marble is replaced and another marble is chosen at random If you re told the marble has the number 7 on it what is the probability the marble is red

question 1 of 5 During the first four Summer Olympic games attended by the United States these medal counts were awarded Calculate the median number of medals won during these Olympic Games Olympic Site Athens Paris St Louis London 239 O 219 O 47 Year 1896 1900 1904 1908 Medal Count 20 47 239 47

Find the exact value of cos 1 Write your answer in radians in terms of

Find the exact value of tan tan Write your answer in radians in terms of 1 3 3 3 0 3 B 8

Find the exact value of sec tan an 3 0 DE

A combination lock uses 4 numbers each of which can be 0 to 30 If there are no restrictions on the numbers how many possible combinations are available Question Help Video Message instructor

12 cos tan 1 Find the exact value of cos tan 0 010 JT

Question 4 1 point Q B Chord CB is a diameter and B is 73 What is the measure of arc AB Your Answer

A line segment is divided in two segments such that the ratio of the long segment to the short segment is equivalent to the golden ratio If the length of the entire line segment is 5 inches long is the length of the longer piece of the divided segment Use 1 618 The length of the long piece is inches Type an integer or a decimal rounded to two decimal places as needed

Graph the trigonometric function 1 3 y sec Start by drawing three consecutive asymptotes Then plot two points one on each side of the second asymptote Finally click on the graph a function button X

1 5 The ratio of width to height of a golden rectangle is given by the golden ratio which is If a painting is 11 inches high how wide would it be 2 The painting would be inches wide Round to two decimal places as needed

Select any three consecutive terms of a Fibonacci sequence Subtract the product of the terms on each side of the middle term from the square of the middle term Take note of the difference Repeat this process with the next three consecutive terms of this sequence and with several other sets of three consecutive terms Make a conjecture about what the difference will be when you repeat this process for any three consecutive terms of a Fibonacci sequence Based on the given process choose the best conjecture below OA The difference will always be 1 B The difference will vary without repetition C The difference will always be 1 P The difference will always be 1 or 1

Determine whether the sequence is a Fibonacci type sequence each term is the sum of the two preceding terms If it is determine the next two terms of the sequence 1 3 4 7 11 18 Is the sequence a Fibonacci type sequence Select the correct choice below and if necessary fill in the answer box to complete your choice OA Yes the next two terms are and Use ascending order B The sequence is not a Fibonacci type sequence

Complete parts a through c below a A sequence related to the Fibonacci sequence is the Lucas sequence The Lucas sequence is formed in a manner similar to the Fibonacci sequence The first two numbers of the Luca are 1 and 3 Write the next six terms of the Lucas sequence 1 3 and

Graph the trigonometric function 3 y 3 sec x Start by drawing three consecutive asymptotes Then plot two points one on each side of the second asymptote Finally click on the graph a function button 5 X

Marvin Services Corporation had the following accounts and balances Accounts payable Accounts receivable 18 000 Equipment 3 000 Land 21 000 21 000 Buildings 6 000 Cash If the balance of the Buildings account was 24 000 and 6 000 of Accounts Payable were paid in cash what would be the total liabilities and stockholders equity 1 54 000 O2 78 000 3 48 000 Uneamed service revenue 9 000 Total stockholders equity 4 72 000

The partnership form of business organization 1 is a separate legal entity O2 is a common form of organization for service type businesses 3 enjoys an unlimited life 4 has limited liability

Winrow Company showed the following balances at the end of its first year Cash Prepaid insurance Accounts receivable Accounts payable Notes payable Common stock Dividends Revenues Expenses 1 27 500 What did Winrow Company show as total credits on its trial balance 2 27 000 3 26 500 11 000 500 2 500 2 000 3 000 5 000 500 4 28 000 17 000 12 500

Equipment costing 20 000 machine is purchased by paying 5 000 cash and signing a note payable for the remainder The journal entry should include a O 1 credit to Notes Payable O2 debit to Cash 3 credit to Notes Receivable 4 credit to Equipment

A credit to a liability account 1 indicates an increase in the amount owed to creditors 2 indicates a decrease in the amount owed to creditors 3 is an error 4 must be accompanied by a debit to an asset account

After a business transaction has been analyzed and entered in the book of original entry the next step in the recording process is to transfer the information to 1 the company s bank 2 stockholders equity 3 general ledger accounts 4 financial statements