Basic Math Questions and Answers

The histogram to the right illustrates the number of points scored per game by a certain basketball team in a recent season In what point range did the lowest number of scores for this team lie Choose the correct answer below OA 90 99 OC 80 89 E 120 129 OB 110 119 OD 100 109 OF 70 79 Number of Games 40 30 20 10 70 79 80 89 90 99 100 109 110 119 12 Number of Points

If the standard density of water s 1 000kg m a fluid having a specific gravity of 3 and absolute dynamic viscosity of 5 kg mrs has a kinematicviscosity m s of most nearly

A 1 ft rod with a diameter of 2 in is subjected to a tensile force of 1 300 lb and has an elongatio 0 003 in The modulus of elasticity ks of the material is most nearly

A box of gumdrops was found to contain the number of gumdrops listed in the table Type Number Lemon 5 Orange 5 Cherry 4 Grape 6 If one gumdrop is drawn from the box what is the probability of drawing a n lemon gumdrop The probability is Simplify your answer Tyne a fraction

Translate to an equation and solve What is 7 2 of 11 600 is 7 2 of 11 600 Simplify your answer Type a whole number or a decima

Find the missing values Marked Rate of Discount Sale Price Price Discount 280 00 20 Marked Rate of Discount Sale Price Price Discount 280 00 20 Simplify your answers Type whole numbers or decimals

Find the area and the perimeter of the landing area of the pole vault pit shown to the right The landing area is La

4 Taylor makes monthly payments of 180 25 on a current loan from her bank The bank charges a nominal interest rate of 9 compounded monthly What is the loan amount PV of the loan if it is to be paid back over 6 years

2 The New Bank of New Orleans offers loans to its customers at 9 annual nominal interest compounded monthly If Sebastian borrows 30 000 and makes monthly payments of 622 75 how many years will it take him to repay the loan

A quality control inspector is checking a sample of lightbulbs for defects The table summarizes the results If one of these lightbulbs is selected at random find the probability that the lightbulb is good given that it is not 20 watts Wattage Good Defective Total 20 55 6 61 50 67 9 76 100 94 11 105 Total 216 26 242 The probability is Type an integer or a simplified fraction

If the pointer in the figure is spun twice find the probability that the pointer lands on yellow Y both spins The probability is Y G R G

Consider the circles shown to the right where the color of the number is in parentheses Assume one circle is selected at random and each circle is equally likely to be selected Determine the probability of selecting a red number given that the circle is green 2 4 5 orange green black black orange yellow green orange red black black red The probability of selecting a red number given that the circle is green is Type an integer or a simplified fraction

If the pointer in the figure is spun twice find the probability that the pointer lands on green G both spins G

Consider a collection of envelopes consisting of 2 red envelopes 1 blue envelope 3 green envelopes and 2 yellow envelopes If two envelopes are selected at random with replacement determine the probability that both are red envelopes The probability that both envelopes are red is Type an integer or a simplified fraction

A board game uses the deck of 20 cards shown to the right If one card is drawn determine the probability that the card shows a monkey or an odd number 23 The probability of selecting a monkey or an odd number is 9 13 21 3 2K 3 2349

The table shows the results of a coffee taste test If one of the individuals surveyed is selected at random determine the probability that the individual selected is a man given that the person prefers Brand B Men Women Brand A 56 Brand B 35 Total 91 48 70 118 Total 104 105 209 The probability that the individual selected is a man given that the person prefers Brand B is Type an integer or a simplified fraction

Consider the circles shown to the right Assume one circle is selected at random and each circle is equally likely to be selected 000000 Determine the probability of selecting an odd yellow green green number given that the circle is not yellow orange orange yellow The probability of selecting an odd number given that the circle is not yellow is Type an integer or a simplified fraction

Y R 2 3 4 5 1 2 3 4 5 1 2345 5 A board game uses the deck of 20 cards shown to the right If one card is drawn determine the probability that the card shows a lion or a 5 12 The probability of selecting a lion or a 5 is 1 2345 5 95

What is the probability of getting either a spade or an ace when drawing a single card from a deck of 52 cards What is the probability that the card is either a spade or an ace Simplify your answer Type an integer or a fraction

c Increase reserve requirements applied to commercial banks d Increase the interest rate on reserves held by commercial banks at the FED According to the quantity theory of money which annual money growth rate should the Centra Bank target to obtain a constant 2 annual inflation rate if money velocity is constant and nominal output grows by 3 5 per year a 1 5 b 3 5 C c 5 5 d None of the above I Which of the following events does not contribute to 2019 US GDP accounting a Mary purchases 1 pound of avocados produced in California in 2019

Water containing 1 lb gal of salt enters tank at a rate of 3 a gal min and leaves the tank at a rate of I gal min Suppose the tank initially contains 100 gallons of water and 20 16 of salt Find the amount of salt in the tank

Find amplicit solution dy 1 Y 34 4 2 dx an

Find the general solution 1 x y e sin 2x dy dx X

50 P x x 1 Q x Q x x 1 1360052 P x x 1 1 Q 1 x 1 T x 4 P x 1 T x 10 K x K x PUBLICATIONS

Find the area of the shaded region Each side is 8 cm

Find the area The area is 16 in

Find the area of the baseball diamond 78 ft 78 ft

A rectangular table is twice as long as it is wide What is the perimeter of a table if it measures 4 5 ft by 9 ft

For the set of numbers find the mean the median and any modes that exist 6 6 1 1 5 9 7 8 4 4 The mean is Type a whole number or a decimal The median is Type a whole number or a decimal What is the mode Select the correct choice below and if necessary fill in the answer box within your choice OA The mode is Type a whole number or a decimal OB The modes are Type a whole number or a decimal Use a comma to separate answers as needed There is no moda C

A physician orders 0 2 oz of magnesia and alumina oral suspension antacid 4 times per day for a patient How many milliliters is the patient to ingest in a day Note that 1 oz 29 57 m The daily amount ingested in a day is approximately mL Round to the nearest hundredth as needed GITE

The following table lists the number of visitors to the 8 most popular museums in 2016 What is the mean number of visitors for the 8 museums the median the mode The mean is Simplify your answer The median is Simplify your answer Select the correct choice below and fill in the answer box within your choice OA The mode is OB The modes are OC There is no mode Use a comma to separate answers as needed MUSEUMS Museum A Museum B Museum C Museum D Museum E Museum F Museum G Museum H possible NUMBER VISITOR 7 700 00 6 900 00 3 700 00 2 900 00 1 500 00 1 200 00 1 100 00 1 100 00

1 10 pt Sketch the graph of a solution of the initial value problem dv dx y 4 y 1 1

y Find the solution using the substitution y ux or u r

x x 3 dX x 16 33 11 17 10 427 0 10 50

Sle x dx

2 5x72 x 1 on mathway find domain asymptotes x y intercepts increasing decrease local max min Inflection points graph

find y Second derivative in 1 y 9 2x 6x

find the limit lim X 8 InX X

The Flotterons plan to purchase paint for the walls and for the trim in their living room They select one color for the walls and one color for the trim at random from following colors Walls Java Taupe Chocolate Burgundy Trim Alabaster Eggshell Oyster Complete parts a through e COLL Click here to view diagram a Click here to view diagram d List the sample space Choose the correct answer below O A JA JE JO TA TE TO CA CE CO BA BE BO JT JC JB TC TB CB AE AO EO OB JA JE JO TA TE TO CA CE CO BA BE BO OC JT JC JB TC TB CB AE AO EO CRA

From the list shown Steve will purchase one appetizer one beverage and one dessert at random to bring to a party Complete parts a through e Click here to view choice c Click here to view choice d List the sample space Choose the correct answer below Appetizer Cheese plate C Vegetable tray V Guacamole G CFB CFK CFP CWB CWK CWP VFB VFK VFP VWB VWK VWP Beverage Fruit punch F Water W OA OB CFB CFK CWB CWK VFB VFK VWB VWK GFB GFK GWB GWK OC CFB CFK CWB CWK CB CK VFB VFK VWB VWK VB VK GFB GFK GWB GWK GB GK OD CEB CEK CEP CWB CWK CWP VFB VFK VFP VWB VWK VWP GFB GFK GFP GWB GWK GWP Dessert Brownies B Cake K Pie P 4

Identify the number as rational or irrational If the number is rational find the root exactly If the number is irrational approximate the number to the nearest thousandth 14 Is 14 rational or irrational Rational Irrational L 14 Type an integer or decimal rounded to the nearest thousandth as needed

Use a table or a calculator to approximate the square root Round the square root to the nearest thousandth 61 The answer is Round to the nearest thousandth as neede

ell if the square root is rational irrational or not a real number If the square root is rational find the exact value if t quare root is irrational write the approximate value rounded to two decimal places 48 The given square root is number an irrational a rational not a real

Fill in each box with the correct number 6 14 6 6 14 6

Fill in each box with the correct number 9 11 9 9 11 9 D 7

37 38 39 40 If you re very quiet you won t scare the animals long You won t scare the animals as If you stay still the lions won t pay you any attention provided The lions won t pay you any attention 11 If Sam hasn t finished taking photos of the birds we can t leave unless We can t leave case very quiet move finished taking photos of the birds The weather can change suddenly in the mountains so always take warm clothes with you When walking in the mountains always take warm clothes with you suddenly

Number of Days 25 55 10 5 10 10 20 20 30 23 40 13 50 3 60

How much larger is a pizza made in a 20 in square pizza pan than a pizza made in a 20 in diameter circular pan Use 3 14 for 20 in 20 in 20 in A pizza made in a 20 in square pizza pan is larger than a pizza made in a 20 in diameter circular pan Simplify your answer Round to the nearest hundredth as needed

Find the length of the radius the circumference and the area of the circle Use 3 14 for T 39 ft The radius is Simplify your answer Type a whole number or a decimal The circumference is approximately Simplify your answer Type a whole number or a decimal Round to the nearest hundredth as needed The area is approximately Simplify your

Find the area of the shaded region Each side is 7 cm