Math Questions

Emma recently purchased a new car She decided to keep track of how many gallons of gas she used on five of her business trips The results are shown in the table below Miles Driven 150 200 400 600 1000 Number of Gallons Used 7 10 19 29 51 Write the linear regression equation for these data where miles driven is the independent variable Round all values to the nearest hundredth

1000 The population of deer in a park can be modeled by P t where P t is the 1 60e t number of deer and t 0 is time in years since the deer were introduced to the park A Eventually how many deer will be in the park Explain your reasoning B Evaluate P 8 P 3 8 3 problem using correct units Explain the meaning of this value in the context of the

Dylan plotted the points W 2 5 X 6 3 Y 2 1 and a fourth point Z to create rhombus WXYZ What is the area of rhombus WXYZ in square units O More information is needed to answer the question 08 04 016

A one way road passes under an overpass in the shape of half an ellipse 20 ft high at the center and 20 ft wide Assuming a truck is 16 ft wide what is the tallest truck that can pass under the overpass The tallest truck that can pass under the overpass is ft tall

Use a graphical method to solve the following equation 2x 3 x 3 0 The solution set is Round to the nearest hundredth

The graph given shows the number of minutes it takes a baker to decorate cupcakes Time minutes 33727 30 24 21 18 15 12 0636 9 0 5 15 10 20 25 Number of Cupcakes Decorated How many minutes does it take the baker to decorate each cupcake OA 0 83 minutes per cupcake B 1 2 minutes per cupcake cupcake minutes per cupcake O c 2 minutes per

You take a job as a Sales Associate and are offered one of two options to be paid Option One will pay you 500 per week plus a 6 commission on your sales Option Two will pay you 250 per week plus a 10 commission on your sales How much must be sold per week for the two options to pay the same amount

In Austin the use of landlines has been declining at a rate of 20 every year There are 51 000 landlines this year Which function can be used to determine the number of landlines after x years A f x 51 000 0 8 B f x 51 000 0 2 C f x 20 51 000 D f x 51 000 1 2

Express the probability as a reduced fraction and as a decimal rounded to the nearest hundredth A bowling alley makes a collection of bowling balls available to the public The weights in pounds are listed below If a bowler selects a ball at random find the probability that its weight is in the given range See Example 10 8 9 16 9 16 6 16 6 12 15 12 9 11 10 15 13 10 14 14 16 14 10 7 12 15 6 6 15 13 13 6 10 8 6 9 12 15 7 It weighs between 8 to 14 pounds inclusive Fraction Decimal Preview

Part A The number of cubic feet of water y in a pool hours after the water starts flowing into the pool is a linear function The points 40 3000 and 60 4000 lie the line of the function Calculate the slope of the line Part B What does the slope of the line represent in Part A Explain in your own words and use complete sentences Part C Explain how the slope formula is related to the definition of slope Use complete sentences

Does this show an arithmetic or geometric sequence Write the recursive for the pattern shown PODL Arithmetic or Geometric ecursive Formula f 1 f n

Which of these examples shows reasoning based on fact not assumption A I always greet customers at the front entrance so anyone who doesn t is just rude B Aram doesn t like filing so he probably doesn t like making copies either C Nile overheard two of his coworkers calling in sick so he offered to stay and work a double shift to help his manager D Lindsey notices that her boss leaves early when all the work is done so she does the same

Water Pollution in a January 2017 Washington Post ABC News poll online respondents were asked There is a proposal to offer nearly 140 billion dollars in tax cuts for private companies if they pay to build new roads bridges and transportation projects The companies then could charge tolls for people to use these roads bridges and transportation Do you support or oppose this proposal Do you feel that way strongly or somewhat Which question is this observational study designed to answer What proportion of voters are strongly opposed and what proportion of voters are somewhat opposed to the proposal What proportion of voters are against giving 140 billion in tax cuts to private companies What proportion of voters are against either giving 140 billion in tax cuts to private companies or against charging tolls for roads bridges and transportation

Chemicals in butter flavoring Workers in a microwave popcorn production plant in Missouri breathe chemicals that are part of the butter flavoring Are these workers at greater risk of developing lung problems To investigate this question 135 workers at the plant receive a survey but only 117 respond Researchers want to compare workers in the popcorn production area with workers who have jobs in other parts of the plant People in these other jobs are not directly exposed to the butter flavorings Of the 97 workers in the production area 30 reported experiences of shortness of breath Of the 20 workers in other jobs only 1 reported shortness of breath What can we conclude from this study Exposure to the chemicals in butter flavoring is associated with a greater incidence of lung problems such as shortness of breath The chemicals in the butter flavorings are causing shortness of breath because a much larger percentage of workers in the production area have shortness of breath

Kevin s grandmother gave him an old lamp that needs a new lampshade He wants to buy some fabric to make a new lampshade The lampshade is 10 inches tall The diameter of the top is 6 inches The diameter of the bottom is 10 inches The formula for finding the lateral area of the shade is A 2 where is the radius of the top 2 is the radius of the bottom and h is the height of the lampshade deel is mss 6 efnow e Select the area that is the best approximation for the amount of fabric he needs to buy 541 4 square inches 474 1 square inches 321 8 square inches is mas of

Consider the polynomials given below Determine the operation that results in the simplified expression below O A OB P x 4 3x3 2x 2 Q x x 2x2 3 x2 2 Q P P Q 5 x45x3 3x x 8

A tree has 99 400 leaves before autumn Once autumn begins the number of leaves on a tree decreases at a rate of 13 per day After t days o autumn there are fewer than 12 000 leaves on the tree Which inequality represents this situation and after how many days of autumn will the number of leaves on the tree be fewer than 12 000 OA 12 000 1 087 99 400 18 days OB 12 000 0 913 99 400 17 days O C 99 400 0 87 12 000 16 days 99 400 1 13 12 000 15 days OD

The cost for ground shipping with FedEx and UPS varies UPS charges 8 25 initially anc then 0 20 per pound FedEx initially charges 9 50 and then 0 16 per pound Write the equation to find the number of pounds when the costs of shipping with UPS and FedEx a the same Let the number of additional pounds x

Lauren is designing a metal sculpture that contains a triangle with sides of 4 inches and 11 inches She is trying to determine possible lengths of the third side of her design Determine an inequality that shows all possible values in inches for the length of the third side of the triangle in Lauren s sculpture 7 x 15 7 x 15 11 x 15 11 x 15 ON TE

The junior class has 50 students Twenty five students take only French 15 take only Latin and 10 take both If a student is chosen at random from the class what is the probability that the student chosen takes either French only or Latin only 01 2 O 4 5 1

Triangles ABE ADE and CBE are shown on the coordinate grid and all the vertices have co integers Which statement is true D No two triangles are congruent G ABE ADE and CBE are all congruent Only ABE and ADE are congruent Only AABE and ACBE are congruent

A local high school held a two day fundraiser selling lunches The equations shown represent the amount of money the school collected during the two days 12x 4y 152 32x 12y 420 In the equations x represents the cost of a chicken lunch and y represents the cost of a vegetarian lunch Which is the cost of the vegetarian lunch 9 O 11 13

A friend devises a game that is played by rolling a single six sided die once If you roll a 6 he pays you 3 30 if you roll a 5 he pays you nothing if you roll a number less than 5 you pay him 0 75 Compute the expected value for this game

Multi Step Equations Riddle Directions Solve each equation Then write the letter above the line that the answer corresponds to Who did Frankenstein s monster bring to the prom 3 R 14 p 8 E 4n 2n 4 O 6a 5a 33 N 7 4x 9 0 2 1 1 I 1 3r 2r 9 S 10 10x 1 9x G 3a 3a 16 8a 6 T L 37 3 5 x 6 2 U 23 x 3 5x D 3 4r 8 36 H a 5 5a 5 F 8 8x 6 6x 22

A new online music service has a collection of 1 500 songs It expects to triple the number of songs each year for the next few years Write an equation representing the relationship where x is time in years and y is the number of songs available 5 Jada saw a music video that her favorite artist recently posted online The equation v t 320 4 represents the number of views of the video t days since Jada saw the video a Find v 2 b What does v 2 represent in this situation

Researchers for a textile company carried out an experiment comparing the longevity of two new fabric blends They carried out a series of usage tests known as double rubs on 100 pieces of each type of material These scales are used for this type of testing Fabric Grade Heavy duty Medium duty Light duty Delicate duty Number of Double Rubs in thousands 15 9 15 3 9 3 After performing the tests on each fabric researchers found that on average fabric A lasted through 7 900 double rubs and fabric B lasted through 9 200 double rubs The marketing department wants to advertise that both fabrics are tested and approved for medium duty use Which statements are true about this situation The sales department can refer to fabric A as a medium duty fabric Fabric A is a more durable fabric because it has a lower double rub rating than fabric B The sales department can refer to fabric B as a medium duty fabric Neither fabric meets the requirements of a medium duty fabric Fabric B is a more durable fabric because it has a higher double rub rating than fabric A

Use the dot plot to list the actual data entries What is the maximum data entry What is the minimum data entry Choose the correct actual data entries below 20 21 22 23 24 25 26 27 28 O A 121 122 123 124 125 126 127 221 222 223 225 322 323 423 523 OB 21 21 22 22 22 23 23 23 23 23 24 25 25 26 27 OC 21 22 23 24 25 26 27 OD 2 1 2 1 2 2 2 2 2 2 2 3 2 3 2 3 2 3 23 24 25 25 26 27 The maximum data entry is The minimum data entry is

Correct A swim team consists of 4 boys and 7 girls A relay team of 4 swimmers is chosen at random from the team members What is the probability that 2 boys are selected for the relay team given that the first 2 selections were girls Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth Answer How to enter your 3

29 58 13 5 A 14 5 B C B is the midpoint of AC D is the midpoint of CE and AE 29 Find BD The diagram is not drawn to scale D E

The person in the picture sights a pigeon above him If the angle the person is looking at is find in degrees Round your answer to two decimal places Ente 17 m 24 m

If the volume of a rectangular prism is V x 11x 36x 36 and one has a side length of x 6 what is the length of one of the other two sides O x 2 O x 3 x 6 O x 3

The amount of merchandise in millions that store A sold can be represented by A 13x 8x 3 The amount of merchandise in millions that store B sold can be represented by B 8x 3x 11 Find the total amount of merchandise that stores A and B sold 2 8

Select all the correct answers Look at the expression below 3 411 234 3 Which of the following statements are true about the expression The given expression is equal to 3 411 234 3 The given expression is equal to 3 411 234 3 The given expression is one third the value of 3 411 234 The given expression is three times the value of 3 411 234

A grain silo is constructed in the shape of an inverted cone atop a cylinder as shown belov O 18 ft What is the volume of this grain silo 10 ft F 20 ft A 1 350 cubic feet L 1 890 cubic feet 3 240 cubic feet

Match the following items In a group of 100 persons 85 had Rh positive blood Rh factor present Rh 45 had Type O blood and 38 had both Type O and Rh positive blood If one person had been selected at random from the group what would the probability be 1 that his blood type was Type O and Rh 2 that his blood type was not O 3 that his blood type was Rh 4 that his blood type was Type O and Rh 5 that his blood type was Rh 5 that his blood type was not Type O or else was Rh 11 20 17 20 93 100 19 50 3 20 7 100

Problem 5 10 pts Ashley wants to download new music into her iPod from a list of 24 rock songs 18 rap songs and 12 alternative songs Compute the probability that a randomly selected list of 10 songs are all rap songs

Identify the sampling method for the following scenario A local restaurant manager wants to survey customers about the service they receive Each night the manager randomly chooses a number between 1 10 He then gives a survey to that customer and to every 10th customer after them to fill it out before they leave O Cluster Sample O Simple Random Sample O Convenience Sample O Systematic Sample Question 4 Identify the sampling method for the following scenario 20 pts

There are 17 books on a shelf 8 of these books are new The rest of them are used a What is the ratio of used books to all books on the shelf b What is the ratio of used books to new books X

Which of the below is are equivalent to the statement that a set of vectors v Vp in R is linearly independent Suppose also that A V V2 Vp A A linear combination of v Vp is the zero vector if and only if all weights are zero B The vector equation x V x2V2 XpVp 0 has only the trivial solution C There are weights not all zer which make a linear combination of the vectors V Vp the zero vector D The matrix equation Ax 0 has free variables E All columns of A are pivot columns The rank of A is equal to p F G The rank of A is equal to n

The high speed chairlift at a ski resort transports skiers from the bottom to the top of the mountain in 12 minutes at a constant speed The times that riders are on the lift while it is operating properly are uniformly distributed The lift operator temporarily stops the lift when a skier falls from the lift at the bottom 7 What percent of the riders had been on the chairlift for less than 1 minute 8 What percent of the riders had been on the chairlift between 5 and 10 minutes when the stoppage occurred

All changes saved 5 You were painting a room in your house Unfortunately you lost the lid to the 5 gallon bucket of paint but you only used half of the paint You want to save the paint so you plan on transferring it to a new container The new container is shaped like a rectangular prism If there are originally 1 155 cubic inches of paint in the 5 gallon bucket is your container big enough to fit the paint that is left over Remember that half the paint is left in the bucket 12 in 8 in 5 in Yes the container is big enough There is 577 5 cubic inches of paint left and the new container is 480 cubic inches No the container is not big enough There is 577 5 cubic inches of paint left and the new container is 480 cubic inches No the container is not big enough There is 577 5 cubic inches of paint left and the new container is 960 cubic inches Yes the container is big enough There is 577 5 cubic inches of paint left and the new container is 960 cubic inches

to answer the questions below Military time is a 24 hour clock that begins at midnight represented by 00 00 6 15pm would be written as 18 15 Date March 20 June 20 September 20 December 20 a 1 38 Day b 18 22 80 172 266 356 Sunrise 6 12am 4 42am 5 55am 7 23am Sunset in Military time 18 20 19 36 18 04 1 Using the equation y 1 38sin 13 x 80 18 22 to represent the sunset function explain in words what the following values represent 16 50 context of the sunset

Jennifer has written her own recipe for pot roast There is a proportional relationship between the weight in pounds of the pot roast x and the total cooking time in hours y Hours 10 9 8 7 6 5 4 3 2 1 2 3 5 Pounds 6 7 8 9 10 What is the constant of proportionality Write your answer as a whole number or decimal hours per pound

Anthony owns a small business selling bagels He knows that in the last week 3 customers paid cash 33 customers used a debit card and 34 customers used a credit card Based on these results express the probability that the next customer will pay with cash as a fraction in simplest form

What prism or other 3 dimensional shape would you use to model the tree trunk below Rectangular prism triangular prism square prism or cylinder If the height of the tree trunk is 13 ft and the radius is 1 5 ft what is the volume in cubic feet Round to the nearest tenth Enter your answer and also show your work to demonstrate how you determined your answer Review the rubric below to see how you will be evaluated

The table below is a result of a study for 3 000 students at Penn State University Students were grouped into two groups skipped many classes and skipped a few classes The researchers took 5 SRS s and found their average GPA GPA for a Few Classes Skipped 3 5 3 2 3 0 3 3 3 6 GPA for Many Classes Skipped 3 4 2 9 2 5 3 0 2 75 Difference 0 1 0 3 0 5 0 3 0 85 After finding the differences between the GPA GPA for Few Classes Skipped GPA for Many Classes Skipped what conclusion can you make from the table Since all of the differences were small we cannot conclude that on average skipping many classes affects GPA Since all of the differences were positive we can conclude that on average students that skip less classes have a higher GPA than students who skip many classes No conclusion can be made from the table More data needs to be collected Since all the differences were negative we can conclude that on average students that skip less classes have a lower GPA than students that skip many classes

A graphic designer has created a piece of art for the side of a building The art is a circle with three sectors as shown in the figure The circle has a diameter of 10 feet The measures of the central angles of the three sectors have ratio 2 3 4 The designer wants to paint the smallest sector red If it costs 2 00 to paint each square foot which of the following is closest to the total cost to paint the smallest sector of the circle A B C 35 00 52 40 69 80 D 139 60

Bryan has 180 feet of fencing to fence off his rectangular garden He will use the wall of his house as one side of the garden garden 1 Write an equation to find the area of the garden 2 What dimensions create the garden with the greatest area 3 What is the greatest area UPLOAD

The city planning commission is looking to put in sidewalks where the three medians of the triangle are located What would be true about the sidewalks if the model of the city park is a equilateral triangle Select all that apply The sidewalks will meet in a single location A B C D E The sidewalks will bisect the angles of the park The length of one sidewalk will be shorter than the other sidewalks The total length of the sidewalks will be the same as the distance around the park The sidewalks divide the park into 6 smaller noncongruent triangles

Consider the following argument 1 Statement Athletes are in good shape 2 Statement Alex is not in good shape 3 Conclusion Alex is not an athlete Is the above argument valid Decide by drawing an Euler diagram Select the correct answer below O The argument is valid O The argument is invalid mation to determine if the argument is valid or invalid