Basic Math Questions and Answers

transcript Suppose that IQ scores have a bell shaped distribution with a mean of 96 and a standard deviation of 17 Using the empirical rule what percentage of IQ scores are between 79 and 113

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Problem 1 In a standard deck of cards find the probability of drawing the five of hearts given that you ve already drawn a nine 2 In a standard deck of cards find the probability of drawing a spade once you ve already drawn a spade without replacing it 3 In a standard deck of cards what would be the probability of drawing an Ace of Spaces given that the Queen and King of Hearts are missing from the deck 4 In a standard deck of cards find the probability of Notation P Five Nine P Spade Spade P A No KQ Answer P Face No Twos

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hich 146 families were computer and if they will be taking a summer vacation this year First complete the table and then find the following probabilities in both fraction and decimal form Round to the nearest hundredth if necessary Owns a Computer Yes No Total Summer Vacation This Year Yes 46 55 No 11 34 Total 5 A randomly selected family is taking a summer vacation this year 6 A randomly selected family owns a computer 7 A randomly selected family is taking a vacation this year given that they own a computer 8 A randomly selected family is taking a summer vacation this year and owns a computer 9 A randomly selected family does not own a computer given that they are taking a vacation 10 A randomly selected is going on vacation given that they do not own a computer

What is the area of a regular polygon with 8 sides and a radius of 4 m 144 5572328back https mylabschool pearson com Stude https membean c Grammady The Al P HW Score 42 86 3 of 7 po O Points 0 of 1

The blood types of 600 people are collected at a doctor s office The table shows the breakdown of patients per blood type If a person from this group is selected at random what is the probability that this person has type O blood Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth Answer 2 Points Blood Type A B O AB Blood Type Survey Results Number of Patients 185 175 185 55 Keypac

Itranscript Michael had a test average of 82 6 last semester His first four test grades were 89 79 76 and 91 Use the formula x find his score on the fifth test x x xn n to

dentify whether the following data set is unimodal bimodal multimodal or has no mode Assume the data set is a sample and find the modes if ny exist swer 2 Points 40 42 35 53 36 42 49 42 47 45 43 O No Mode O Multimodal 40 42 43 O Unimodal 42 Keypa Keyboard Shorte

Find the mean of the following data set Assume the data set is a sample Round your answer to the nearest hundredth if necessary 40 41 41 42 36 36 39 35 29 46 33 nswer 2 Points

15 points The graph of a function fis given 0 Consider the integral when answering the following questions 1 f f x dx a Estimate the integral using four subintervals with the right endpoints b Estimate the integral using four subintervals with the left endpoints c Estimate the integral using four subintervals with the midpoints

Itranscript Suppose that shoe sizes of American women have a bell shaped distribution with a mean of 8 09 and a standard deviation of 1 5 Using the empirical rule what percentage of American women have shoe sizes that are between 6 59 and 9 59

ep 1 of 3 Which score has the highest frequency Frequency 16 14 12 10 8 6 4 2 0 TH T 0 11 T N 2 Quiz Scores 3 4 15 Score 16 17 18 9 10

Itranscript The grades on the second statistics test for Mr Brown s class are in the following list Find the frequency distribution for the grades D B C F C B D F C D B A B C F A F D C F C nswer 2 Points Grade A frequency Grade C frequency Grade B frequency Grade D frequency Keyboard

Identify the sampling technique used in the given scenario An investigator wants to know what types of vehicles accessed the highways in his city during the past week He has access to traffic camera footage of each highway entrance ramp for that time period He does not have time to find a pattern in the traffic footage or to view all of the footage available His sample does not need to be truly representative Answer 2 Points O Stratified O Convenience O Random O Systematic Keypad Keyboard Shortcuts

Identify the population being studied Itranscript Answer 2 Points The annual salaries of a sample of 21 professors at the local college O The annual salaries of the entire population of the U S O All professors at the local college O The 21 professors at the local college

If the odds on a bet are 24 1 against what is the probability of winning Express your answer as a fraction transcript

You have heard many a student ask their professor if they curve their course The answer is usually no but you have become curious as to what might happen to the grades from a course if they were curved Professor decides to try using a curve for his fall semester courses In a curved course a certain percentage of the students would receive each letter grade i e 2 of the class would get a D 3 of the class would get a D etc The grade percentages for Professor class will be as follows B 16 B 12 B 7 D 2 D 3 D 7 C 12 C 16 C 20 A A 3 2 Calculate how many students from a 60 person class would receive each grade Round your final answers to the nearest whole student Create a frequency distribution table for the number of students receiving each grade Create a bar graph based on the frequency distribution table for student grades Compare the standard course with exams the standard course with projects and the curved course Which one of the three do you think is the best option Justify your choice

Find the equation of the line that contains the point 2 3 a

Learn with an ex Find the number of terms in this polynomial 3m 3 10m Submit

dicate the answer choice t Determine whether each 4y 2 20y 25

07 04 MC When comparing the f x x 2 2x and g x log 2x 1 on which interval are both functions negative

Question 8 Write the following exponential equation in 343 7 3

Use elimination to solve each system below System 1 System 2 3x 4y 6 3x 4y 3 x 4y 18 4x 3y 10 Enter the values of x and y in the solution for each

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Suppose that 13 000 is invested in a bond fund and the account grows to 14 297 16 in 3 yr Part 0 2 Part 1 of 2 a Use the model A Pe to determine the average rate of return under continuous compounding Round to the nearest tenth of a percent Avoid rounding in intermediate steps The average rate of return under continuous compounding is approximately Part 1 2 Part 2 of 2 X 3 b How long will it take the investment to reach 20 000 if the rate of return continues Round to the nearest tenth of a year Round values in intermediate steps to three decimal places gh 20 000 if the rate of return continues G

To get 200 after 3 years at 7 compounded monthly

0 000121 Refer to the model Q t Qe used for radiocarbon dating At an archeological site scientists uncovered human remains A sample from a human bone taken from the site showed that 32 of the carbon 14 still remained How old is the sample Round to the nearest year Do not round intermediate calculations The sample from the human remains is approximately years old X 3

parking lot is a rectangle that measures 385 feet long and 180 feet wide Each parking space is a rectangle that measures 20 feet long and 9 feet wide On black Friday the parking lot is full How many cars are parked in the parking lot at Best Buy on black Friday Area of parking lot Area of parking space of cars parked at Best Buy on black Friday QUESTION 7 A local flooring company is retiling your kitchen Your kitchen is a rectangle with dimensions of 12 ft by 16 ft You are going to use square tiles that measure 6 by 6 inches Assuming the tiles lay completely flush with one another on the floor no space in between How many tiles will the flooring company need to buy 6 inches feet Area of kitchen Area of 1 tile How many tiles will the flooring company need to buy QUESTION 8 A local flooring company is retiling your kitchen Your kitchen is a rectangle with dimensions of 7 ft by 15 ft You are going to use square tiles that measure 6 by 6 inches Assuming the tiles lay completely flush with one another on the floor no space in between How many tiles will the flooring company need to buy 1000 tiles O826 tiles

Coach Smith wants to paint his classroom walls red Each wall is 25 feet long and 9 feet tall The janitor says he can only order the paint in boxes that contain 3 small cans One box is used to paint a 125 square foot on the wall How many boxes does he need to order How many paint cans will he have ordered in total How many cans will be used to paint all the walls in the room How many paint cans will not be opened QUESTION 4 The Walmart parking lot is in the shape of a giant triangle The base of the triangle in 480 feet while the height is 100 feet The manager wants to put on a fundraiser by filling the parking lot with customers If one rectangular parking spot is 10 feet by 6 feet and can hold 30 people How many people will he need to fill the lot Area of Parking Lot Area of Parking Space of people to fill parking lot QUESTION 5 A basketball court measures 1008 inches on the sides while the baseline stretches 708 inches There is a circle in the middle of the court that has a diameter of 75 inches The team can fit 11 people in the circle at one time How many people can fit on the court C O877 people O1400 people 1776 people 1008 d 708

A football field measures 120 yards long and 54 yards wide We know that the team can fit 26 players in 5 yards by 8 yards box How many people can fit on the field if the school wanted to cover the entire area O2782 people O3022 people 4212 people O6480 people

A basketball court measures 998 inches on the sides while the baseline stretches 700 inches There is a circle in the middle of the court that has a diameter of 72 inches The team can fit 14 people in the circle at one time How many people can fit on a court O O698 600 people O 50 000 people 1296 people O2402 people QUESTION 2 O 72 998 O 700 A football field measures 120 yards long and 54 yards wide We know that the team can fit 26 players in 5 yards by 8 yards box How many people can fit on the field if the school wanted to cover the entire area

n IT Q P IC IT Paragraph Arial BB2 QUESTION 4 Find the sum of the following polynomials Express your answer in standard form 5a4 3a2 4 a2 a4 2a For the toolbar press ALT F10 PC or ALT FN F10 Mac BIUS Paragraph Arial 10pt AE 10pt

8 6 Locate the centroid of the channel cross section shown in Figure P8 6 h 12 mm y 75 mm 12 mm 220 mm 12 mm X

Professor Dingbat teaches two sections of economics class He gave an exam to both sections The exam is for 50 points The data for the two sections was as follows Section A Section B Number of Students 34 31 Compute the test statistic Section Average Section Standard Deviation 9 57 4 86 Students in section B have been bragging that they are better at economics compared to students in section A Do the data provide evidence at 0 05 significance level that section B is better than section A What is the critical value 40 2 44 9 Write the null and alternative hypothesis relevant for the current problem se subscripts A and B instead of 1 and 2 where needed Write your answer in this box Write your answer in this box Write your answer in this box Based on the number you got above would you reject or not reject the null hypothesis at 5 level of significance Write your answer in this box Based on the test results would say that section B has bragging rights YES or NO

Finding the missing value in the tree diagram V X Black Brown Find x Round to two decimals Answer 5 25 Cat 125 Dog Cat 4 Dog z

16 20 Line AB is Select 12 B 4 to the circle

Divide 6x 19x 13 2x 5 For the toolbar press ALT F10 BI US Par T T A

3x 17 D 154437 Find the value of x given that AB and AD are tangent to circle C NE

Find the value of x 02 12 3x 5 D 3x 2X 7 4

2 7x 8 2x 5 Find the value of x given that AB and AD are tangent to circle C

A 6 6 Line AB is Select 13 B to the circle

6 Side Find the missing side indicated if the line is tangent to the circ

1 5 Side 1 N Find the missing side indicated if the line is tangent to the circle

74 D 12pt Consider the following diagram above 1 Identify all lines that are tangent to the circle 2 Identify all lines that are chords 3 Identify all lines that are secant 4 Identify the diameter Edit View Insert Format Tools Table C Paragraphe B T

15 Graph the curve of y on the grid below Use the table of values to determine exact points of the graph Then state the asymptote the domain and the range of the graph Y Asymptotes y X 4 3 2 1 0 1 2 Domain Range Please note Your communication mark will be out of 5 marks based on proper mathematical form neatness and legibility

9 Only three of the following four numbers are equal Circle the number that is not equal to the other three 1 1 2 2 2 0 25

5 Express as a power exponent must be in lowest terms b 32 c x a 25 d x

4 Simplify No negative exponents a x x x 1 b 1 4

7 Simplify with positive exponents only in your final answer 4 2x y 4x y 6 2x y