Basic Math Questions and Answers

Wequency distribution for non grouped data A doctor s office has four doctors This morning 21 patients visited the office Each patient saw one of the four doctors a The doctor each patient went to se appears below F Dr Foster M Dr Mischel P Dr Phillips T Dr Tar Complete the fresvenor detribution for the data Doctor Medical group City Med Frequency Doctor 1 b These doctors are affiliated with four major medical groups But not every doctor is affiliated with every group The table below shows the groups and the doctors affiliated with them 1 Mand T Fand T How many patients went to see a doctor affiliated with the Bayside medical group Opatients

Solve the right triangle ABC where C 90 a 75 4 yd b 41 8 yd C yd Simplify your answer Type an integer or a decimal Round to the nearest tenth as neede A Simplify your answers Type integers Round to the nearest ten minutes as needed O B Simplify your answers Type integers Round to the nearest ten minutes as needed

A 15 5 m fire truck ladder is leaning against a wall Find the distance d the ladder goes up the wall above the fire truck of the ladder makes an angle of 29 23 with the horizontal 15 5 m O d 29 23 d Simplify your answer Type an integer o decimal Round to the nearest hundredth m

Ms Anderson gave her students a biology test last week Here are the test scores for each of the eighteen students Test scores 70 82 69 70 67 86 70 87 83 87 71 83 85 80 68 74 81 80 a Complete the grouped frequency distribution for the data Note that the class width is 6 Test scores 66 to 71 72 to 77 78 to 83 84 to 89 X Frequency 0 0 G b Construct a histogram for the data Frequency 8 7 6 5 4 3 2 1 0 66 to 71 78 to 83 Test scores 72 to 77 84 to 89

ve the right triangle ABC with C 90 39 45 c 596 9 ft B integer or a decimal Simplify your answers Type an a ft Simplify your answers Type an integer or a decimal Round to the nearest tenth if needed b ft Simplify your answers Type an integer or a decimal Round to the nearest tenth if needed

e TV company charges 27 for the ba y 7x 27 y 7x 27 y 27x 7 y 27x 7

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Determine the slope of the line through the given points If the slope is undefined so state 2 1 and 10 6 Select the correct choice below and if necessary fill in the answer box to complete your choice OA The slope is Type an integer or a simplified fraction OB The slope is undefined

Decide whether or not the ordered pair is a solution of the equation x y 12 8 4 O Is a solution Not a solution

There were 20 participants in a recent study on personality traits After being shown four images 1 2 3 and 4 each participant selected the one that was most appealing to them a The image each participant selected appears below Complete the frequency distribution for the data Image 142 4 3 3 4 1 4 2 2 3 2 3 1 4 1 4 2 1 Trait Optimistic Indecisive Analytic Impulsive b These images are associated with four personality traits But not every image is associated with every trait The table below shows the traits and the images associated with them Image Image 2 3 and 4 1 and 4 2 and 3 1 2 and 4 participants 1 2 3 4 Frequency How many participants selected an image that is associated with being impulsive X

Nome Integrated Math II Tyler makes another drawing by rotating the inner quadrilateral He likes his new garden diagram better The ratio of each outer side to the corresponding inner side is 5 to 2 and the labels represent the lengths of the sides measured in inches 4 What is the most descriptive name for the figure ABCD Justify your answer 5 Find x 6 What is AB What is CD 5x 8 What is true of the diagonals of ABEF 4x 1 D 3x 1 Unit 4 Mini QPA 2 5x 2x 5x 2x 3 7 What is the most descriptive name for ABEF Justify your answer 5x E 9 What is the angle measure of each pair of base angles of ABCD How are these two angles related

APPLICATIONS 6 It is helpful to be able to think about very with many of these terms but have you the some numbers to think about and example 10 The first has been done

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dinates of the centroid Explain whether or not their centroid would be a fair location for all three cities 5 Lines and m are parallel and are intersected by transversal t as shown If m2 120 what are mz6 and m27 Explain how you found each Statement 1 ZWZX WZV 2 ZWZX and ZWZV are a linear pair 3 mzWZX m2WZV 180 4 5 1 Given 2 ty Reason High School S High School 1 3 2 4 3 4 Supplementary congruent angles are right angles 5 Def of L lines ZWZX ZWZV Prove WY 1 VX by completing the proof below High School B 5 W 6 m 7 8 6 For the figure shown

S Dz Quiz 2 1 2 3 MAT 100 08 Intermediate t Certify Lesson 1 6 Applications 13 Step 1 of 1 erest on a 6000 investment exceeds the interest ear at is the interest rate of each investment

Charlotte Cloutier Paper 20 Ques

work mputer is purchased for 4 700 Its va value of the computer after 2 years

rk urrently has 5000 residents on of the town in 10 years a

work umber of a certain type ent after 4 days

k suggests that the probability of a certain fuse 86 where x is the impurity concentration a robability of the fuse malfunctioning for an im

work function H described by H x 2 75x ght of a woman whose humerus is 30 3

K For the following table compute the debt by multip Debt 6 Day 1 2 3 4 5 Use a calculator to complete the table Day Debt 6 1 2 3 4

he sales of a particular brand of appliance mber of sales expected in 2023 if this tre 840

JOOO LIVORNO VIDEONOVE work the following table compute the mass of 1 440 grams of ra Mass g 1 440 ay 212345 Questi

work call to Brazil a long distance telephon lars and the duration of the call x in m

ework has been determined that the number sh for 35 minutes Round your answer

The table shows the distribution by age and gender of the 28 0 million people in a certain region who live alone Use the data in the table to find the probability that a randomly selected person in the region is a woman in the 18 24 age range living alone Male Female Total Ages Ages Ages Ages Ages Ages 18 24 25 34 35 44 45 64 65 74 275 Total 2 5 2 4 4 8 1 3 1 7 1 3 2 1 5 2 3 7 3 4 6 9 0 7 0 5 1 5 1 2 4 0 4 0 8 8 13 4 14 6 28 0

nework costs 500 to start up a business of OA y 80x 500 OB y 80x 500

k ollowing table compute the area of a 350 square foot shed Area Left sq ft Start of Day 1 2 3 4 5 ete the table Question Start of Day Area Left sq ft

lomework If Marco hired a plumber for 5 hours and the number of hours worked x

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The circle graph shows how a family budgets its annual income If the total annual income is 110 000 what amount is budgeted for Clothing Savings 8 Insurance 10 Auto 14 Housing 21 Clothing 17 Leisure 12 Food 18 X LU Aa DI

Here are the numbers of times 9 people ate out last month 0 7 4 2 9 8 6 11 1 Send data to calculator Find the modes of this data set If there is more than one mode write them separated by commas If there is no mode click on No mode 0 0 0 No mode

Here are the shopping times in minutes of nine shoppers at a local grocery store Complete the grouped frequency distribution for the data In the distribution the frequency of a class is the number of shopping times in that class Note that we are using a class width of 6 Shopping time in minutes 22 25 28 15 19 28 23 16 21 Shopping time in minutes 15 to 20 21 to 26 27 to 32 Frequency 0 X Aa

In a poll students were asked to choose which of six colors was their favorite The circle graph shows how the students answered If 10 000 students participated in the poll how many chose Blue Red 5 Orange 13 Green 10 Blue 23 Purple 12 Pink 37 X USB HA E 2

Here are the hottest recorded temperatures in F for eight cities throughout North America Complete the grouped frequency distribution for the data In the distribution the frequency of a class is the number of temperatures in that class Note that we are using a class width of 5 108 Temperature in F 108 117 111 105 112 106 104 Temperature in F 103 to 107 108 to 112 113 to 117 Frequency 0

A group of 5 students was asked How many hours did you watch television last week Here are their responses 17 13 9 9 12 Send data to calculator Find the mean number of hours for these students If necessary round your answer to the nearest tenth hours X 5 Aa

A pet store has 7 cats Here are their weights in pounds 16 13 15 8 15 7 12 Send data to calculator Find the mean weight of these cats If necessary round your answer to the nearest tenth pounds X Espa ol

Francesca wants to start exercising to burn at least 1200 extra calories per week but she does not have much spare time for exercise According to a website she can burn an average of 2 5 calories per minute walking 4 calories per minute cycling and 8 calories per minute swimming She would like her total time walking and cycling to be at least 3 times as long as she spends swimming She would also like to walk at least 30 minutes per week How much time should she spend on each activity not only to meet her goals but also to minimize her total exercise time per week What is her minimum exercise time per week Let y be the number of minutes per week spent walking y be the number of minutes per week spent cycling and y3 be the number of minutes per week spent swimming What is the objective function that must be minimized 3 She should walk for Type an integer or a decimal W minutes per week She should cycle for Type an integer or a decimal She should swim for minutes per week minutes per week

Find the bearing from O to A N W A 75 T E The bearing from O to A is

Why do you think Miller s version of Batman resonated so strongly with readers Is Miller s Batman a hypocrite Why or why not

A small toy manufacturing firm has 220 squares of felt 530 oz of stuffing and 90 ft of trim available to make two types of toys a small bear and a monkey The bear requires 1 square of felt and 3 oz of stuffing The monkey requires 2 squares of felt 4 oz of stuffing and 1 ft of trim The firm makes 1 profit on each bear and 1 60 on ea monkey Complete parts a through g a Set up the linear programming problem to maximize profit Let x and x be the numbers of bears and monkeys the firm makes Maximize Z subject to 220 530 90 with x 0 x 20 Do not factor Use integers or decimals for any numbers in the expressions b Solve the linear programming problem in part a The firm should make bears and monkeys for maximum profit of S dat

Graph two periods of the given cosecant function 1 1 CSC O A X 4 Choose the correct graph below An Er N B 5 0 4x8x12x 16x O C 0 4ft 8x12 15x

The Consumer Price Index CPI indicates the relative change in price over time for a fixed basket of goods and services n n 100 where En general if the rate of inflation averages r over n years then the CPI after n years is CPI CPlo CPI is the CPI index at the beginning of the n year period a The CPI was 150 5 for 1995 and 183 8 for 2004 Assuming that annual inflation remained constant for this time period determine the average annual inflation rate b Using the inflation rate from part a in what year will the CPI reach 257

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ightspace groinforojn ibg04b alvdy ssignment on 6 of 10 1 5 points Question Attempt 1 of 1 artbeat blood pressure increases as the heart contracts then de pressure and the minimum blood pressure is called diastolic press d as systolic over diastolic Suppose that the blood pressure for re in mmHg millimeters of mercury and t is the time in minutes

estion 8 of 10 1 5 points Question Attempt 1 of 1 BC subject to the given conditions if possible Round the lengths of the sides and the meas necessary 13 9 b 15 2 c 25 7 ere is no triangle that can be formed from the given information ere is one unique triangle that can be formed from the given information A B C ere are two triangles that can be formed from the given information Acute Triangle A B X

Score 87 15 Question 1 7 10 answered In Practice Assignment 12 C you compared the price o 1 500 mile road trip It turns out that the advertised mp speed increases above 55 mph the efficiency reduces 3 less efficient at 60 mph 17 less efficient at 70 mph MPG for Speed n d Speed kills MPG Retrieved June 20

Assuming Earth to be a sphere of radius 4000 miles how many miles north of the Equator is City A if it is 38 north from the Equator City A is approximately miles north of the Equator Round to the nearest whole number as needed SEPER

2 Given that x 2x 5 and g x 7 x calculat a f g 0 b g f 0