Basic Math Questions and Answers

balls are the same color 38 24 40 O 29 QUESTION 2 Jack wakes up late on average 3 days in every 5 If Jack wakes up late the probability he s late for school is 9 10 If Jack does not wake up late the probability he s late for school is 3 10 Complete the tree diagram Then calculate what percent of days Jack gets to school on time 315 SIN CAL Wakes late Wakes on time 9 10 3 10 10 7 10 School late School on time School late ulat te School on time

A box contains 4 red and 2 blue chips A chip is drawn at random and then replaced A second chip is then drawn at random Use the tree diagram to calculate th probability for the following 1st draw NIM W 1 red blue At least one blue chip One red and one blue Two of the same color 1 3 NIM 3 M 1 WIN 2nd draw Outcomes red red red blue 3 red red blue blue red blue blue blue

another ball at random from the bag Construct a probability tree and calculate the probability that Paul picks a black ball in his second draw 0 35 O 0 375 0 41 O 0 456 QUESTION 4 A bag contains 3 black balls and 5 white balls Paul picks a ball at random from the bag and replaces it back in the bag He mixes the balls in the bag and then picks another ball at random from the bag Construct a probability tree and calculate the probability that Paul picks two black balls 0 14 0 23 0 34

prove the identity sin 2 sec 2x tan 2x 1

23 Lisa bought 3 equally priced shirts for 41 70 Her friend Anna bought 8 shirts at the same price per shirt How much did Anna pay for her purchase O 115 60 O 105 14 O 109 46 111 20

A contractor buys 14 yd of nylon carpet and 20 yd of wool carpet for 1706 A second purchase at the same prices includes 20 yd of nylon carpet and 21 yd of wool carpet for 2051 Find the cost per yard of the wool carpet

In 2002 the population of a district was 37 600 With a continuous annual growth rate of approximately 3 what will the population be in 2012 according to the exponential growth function

5 10 pts The following grouped freque for each day in March 2023 Low

19 There are 12 boys and 18 girls in Mr Spano s math class If he randomly calls on three students for answers to an assignment what is the probability that all three are girls Assume he does not call on the same student more than once 20 Alexis is rearranging the letters of the word DINOSAUR What is the probability that the first three letters she chooses are vowels Use for questions 21 24 Out of 50 students 24 are taking art and 30 are taking music Sixteen of the students are taking both art and music If two different students from this group are chosen at random find each probability 21 Both students take art 23 Both students take music but not art 22 Both students take both art and music 24 Neither student takes music

8 If you can buy four bulbs of elephant garlic for 8 then how many can you buy with 32

0 The money used in Jordan is called the Dinar The exchange rate is 3 to 2 Dinars Find how many dollars you would receive if you exchanged 22 Dinars

Jasmine bought 32 kiwi fruit for 16 How many kiwi can Lisa buy if she has 4

9 One bunch of seedlees black grapes costs 2 How many bunches can you buy for 20

5 Shawna reduced the size of a rectangle to a height of 2 in What is the new width if it was originally 24 in wide and 12 in tall

10 pts Here are the numbe acks in the 2022 3 season 25 41

6 Ming was planning a trip to Western Samoa Before going she did some research and learned that the exchange rate is 6 Tala for 2 How many Tala would she get if she exchanged 6

3 One cantaloupe costs 2 How many cantaloupes can you buy for 6

4 One package of blueberries costs 3 How many packages of blueberries can you buy for 9

If a right circular cone has a circular base with a diameter of length 16 cm and a volume of 3207 cm find its lateral area in square centimeters cm

If you can buy one can of pineapple chun for 2 then how many can you buy with 10

2 One jar of crushed ginger costs 2 How many jars can you buy for 4

Derek rolled a die 10 times The die landed 3 times on an even number and 7 times on an odd number What is the experimental probability of landing on an odd number 3 10 B 7 10 C 72

ematics assembly line machine turns out wa 2 07 1 83 9 6 1 76 1 35 1 58 1 87 1 54 1 68

The following table gives the annu 2007 2008 2009 Year Company A 95 108 100 Company B 48 57 52

ick here for page 1 of the Area lick here for page 2 of the Area Round to two decimal p

Find the z score satisfying the given condition 13 of the total area is to the right of z Click here for page 1 of the Areas under the Normal Curve Table Click here for page 2 of the Areas under the Normal Curve Table Z Round to two decimal places as needed

tics nbly line machine turns out was 2 07 1 89 1 88 1 38

S ng table gives the annual revenue for two dif 2007 2008 2009 2010 2011 201 100 107 94 102 110 11 55 64 51 OD A B

Find the range and standard deviation of the set of data 11 7 15 3 9 The range is 12 The standard deviation is Round to the nearest thousandth as needed

A power supply can deliver a maximum rated current of 0 5 A at full load output voltage of 20 V What is the minimum load resistance that you can connect across the supply A B 20 ohms 15 ohms C 10 ohms D 40 ohms

A sample of 36 households from a survey generates the following frequency table of household income in thousands Find the mean and standard deviation Interval Frequency 0 29 12 30 59 4 60 89 90 119 120 149 150 179 180 209 Part 1 of 2 X thousand dollars Round to one decimal place as needed 12 3 032

Part 1 of 2 The mean is mm Round to four decimal places as needed Points 0 of 1 An assembly line machine turns out washers with the following thicknesses in millimeters Find the mean and standard deviation of the thicknesses 1 53 1 81 2 09 1 39 1 21 1 95 1 95 1 39 1 66 1 37 1 21 1 86 1 52 1 89 1 28 2 01

K The table shows is male and C r this table to find

t K The Midtown Bank has found that mos transactions for one teller for one day and find its value

Which polynomial is equivalent to this expression if n 1 12 14n 10n 2 6 10n

b In how many w a There are Type a whole nu

a principal of 85 000 was invested at 5 interest rate for 12 years find the final balance for simple interest compound interest to be compounded yearly monthly and daily and continuously compounding interest

The owner of the Columbia construction company must decide between building a house development constructing a shopping center and leasing all the company s equipment to another company The profit that will result from each alternative will be determined by whether material costs remain stable or increase The profit from each alternative given the two possibilities for material costs is shown in the following payoff table Material Costs Decision Stable Houses 5 2 Shopping center 9 Leasing 8 Increase 5 4 7 What is the payoff not decision if using the Maximax decision criteria

Use permutations to solve The student activity club at the college has 39 members In how many different ways can the club select a president a vice president a treasurer and a secretary Substitute values into the formula for npr nPr 39 39 4 There are different ways that the offices can be filled

Seven cards are drawn from an ordinary deck In how many ways is it possible to draw a only 9 s b only 4 s 5 s and 6 s c no 4 s 5 s and 6 s d exactly 2 kings or jacks e 3 spades and 4 hearts a Number of ways to draw only 9 s

An election ballot asks voters to select six city commissioners from a group of twenty four candidates In how many ways can this be done Six city commissioners can be selected from a group of twenty four candidates in different ways

From the list below select ALL predicates When a 2 a 2 0 a b b a for all real a and b x 20 if x is an integer City x is capital of y x is a positive number O x y 1

Question 11 of 15 Large samples of women and men are obtained and the hemoglobin level is measured in each where the measures from women correspond to population 1 and the measures from men corre C a What does the confidence interval suggest about equality of the mean hemoglobin level in wo Because the confidence interval a significa nen Type an integer or a decimal Do not round Write a brief statement that interprets that confidence interval A There is 95 confidence that the difference between the two population means it appears that there

Use the multiplication principle to solve A home improvement store website listed 258 different kinds of glass wall tile 37 colors of acrylic grout 22 kinds of mortar trowels and 27 different kinds of mortar How many ways are there to buy the products needed for a tile project There are needed different ways to buy the product

4 4 31 4 Calculate all the roots of the given complex number and show them on he complex plane

nomials using the appropriate special product x 2 13 x 2 13

Which of the following is the negation of the statement All Americans eat cheeseburgers None of the above There is an American who eats cheeseburgers All Americans don t each cheeseburger Some Americans don t each cheeseburger

Which of the following is a negation of the statement There is an honest politician O Non of the above O Every politician is dishonest O Not all politicians are honest O All politicians are honest

3 Assess your own utility function in 3 different ways a Use the certainty equivalent approach to assess your utility function for wealth over a range of 100 to 20 000 U 100 U 20 000 U 1000 U 2500 U 5000 U 9000 U 15000 b Use the probability equivalent approach to assess your utility function for wealth over a range of 100 to 20 000 U 1500 U 5500 U 9000 U 14500 c Plot the assessments from part a and b on the same graph and compare them Why do you think they differ Can you identify any biases in your assessment process

The expression logx log3 log x 2 can be written as