Math Questions

Match the expressions on the left which represent distance between two points with their corresponding points on the right 5 3 6 1 2 0 4 8 2 2 5 0 4 1 1 7 3 DRAG DROP THE ANSWER 5 4 2 0 3 1 5 6 1 3 1 7 4 2 0 8

Yolanda wants to measure the height of a tree She sights the top of the tree using a mirror that is lying flat on the ground The mirror is 34 ft from the tree and Yolanda is standing 11 6 ft from the mirror as shown in the figure Her eyes are 6 ft above the ground How tall is the tree Round your answer to the nearest foot The figure is not drawn to scale 34 ft 11 6 ft 6 ft

17 During a word game Sara draws tiles at random from the group of letter tiles shown below A B B L 1 16 3 E R S C R A T T If each tile is replaced after being drawn what is the probability that Sara draws a letter from her name on the first draw and a letter not in her name on the second draw E A C D 1 2 L E T T B B E 9

Use the following scenario to solve the first four problems A card is drawn from a card deck Tell whether events A and B are inclusive or mutually exclusive and then find the probability 2 Tell whether events A and B are inclusive or mutually exclusive and then find the probability Note Do not include Aces as face cards A The card is a 10

13 The dimensions of a cube and a rectangular prism are shown in the diagram X X 12 mm3 Cube X 2x 3x 4x Rectangular Prism If the volume of the cube is 125 mm what is the volume of the rectangular prism A 1 125 mm C 1 500 mm B D 3 000 mm

14 Snacks at the spring carnival are sold in containers shaped like a cone or a cylinder The dimensions of each container are shown in the drawing 4 in G 80 in 3 12 in 3 in What is the combined volume of the cone and the cylinder in cubic inches F 72 in H 136 in 3 264T in 3 J 8 in

Triangle RST has vertices at R 4 7 S 6 3 and T 2 3 Jennifer believes that the perimeter of ARST is 26 square units Why is Jennifer incorrect O A Because RS 6 units RT 6 units and ST 4 units B Because RS 20 units RT 20 units and ST 4 units C Because RS 10 units RT 10 units and ST 8 units D Because RS 20 units RT 20 units and ST I 16 units

Drag each tile to the correct box Not all tiles will be used A baker is experimenting with a new brand of yeast He bakes his first batch of bread using the old brand of yeast that he usually uses and a second batch using the new brand of yeast After baking both batches of bread he compares the height texture and taste of each batch Match the terms with the correct descriptions in the context of this scenario second batch old brand of yeast height texture and taste 100 the baker explanatory variable control group response variable first batch new brand of yeast

The total points scored by two youth soccer teams are shown Rockets 3 0 3 4 2 6 1 0 3 Jets 2 3 2 1 0 0 0 2 1 Match the correct values statements The median score for the Jets is The Rockets typical score is the Jets typical score The m dian score for the Rockets is 1 2 4 2 3 3 9 4 1 5 1 2 6 2 7 less than 8 greater than

Let A be the set of numbers that are multiples of 3 between 1 and 16 and B be the set of even natural numbers up to and including 20 Find AUB Write your answer in proper set notation Make sure each element is only listed once

De Select one Dg One variable Statistics Question 4 Jamal calculates the mean and standard deviation of a data set of the salaries of 10 employees He then calculates the mean of the salaries after each employee receives a pay increase of 2 000 Which statement is true a O O The mean of the new data set decreases The mean of the new data set increases The mean of both data sets stays the same There is not enough information to know how the mean will change

Fred did a survey of the homes in his neighborhood He recorded the type of fuel used to heat each home He wants to make a circle graph of the data Type of Fuel Gas Electric Wood Oil Number of Homes 20 S 10 S What is the angle measure of the section in the circle graph that represents wood fueled homes A 10 B 25 O C 45 909

20 Aaron has a dozen eggs in a carton Three of the eggs are raw and the rest are hardboiled Aarc takes out one egg at random and cracks it He then takes out another egg and cracks it What is the probability that the first egg cracked was hardboiled and the second was raw F G 25 9 16 H J 6 9 44

Shelby does a probability experiment She spins this spinner and then filps a coin Green Yellow Purple Red Which list shows all the possible outcomes OA Green Heads Blue Heads Purple Heads Red Heads Yellow Heads OB Green Heads Blue Heads Purple Heads Red Heads Green Tails Blue Talls Purple Talls Red Talls OC Green Talls Blue Talls Purple Talls Red Talls Yellow Tails OD Green Head Blue Heads Purple Heac Red Heads Yellow Head Green Talls Blue Tails Purple Talls Red Talls Yellow Tails

When a patient with hypertension takes a particular type of blood pressure medication the effects on the systolic pressure S t can be measured by the following piecewise 0 t 4 140 6t if 116 if 4 t 8 where t is the time in hours since taking the medication Based on the graph of the piecewise function if the patient 96 8t if 8 t 12 defined function S t takes the blood pressure medication at 8 a m in which interval will their systolic pressure be lowest 10 a m to 12 p m 12 p m to 2 p m 04 p m to 6 p m 08 p m to 10 p m

Enter the correct answer in the box Write an expression to represent the given statement Use n for the variable three times the absolute value of the sum of a number and 6 0 m Inl H

Every month Midtown Grocery Store donates 8 ounce cans of vegetables to a food bank The food bank s volunteers fill bags with these cans and deliver the bags to families in need This graph shows the relationship between the number of bags the food bank s volunteers can fill x and the total number of cans they deliver y 20 Cans 18 16 14 12 10 8 9 4 2 2 5 Bags Do x and y have a proportional relationship yes no 3 6 7 8 9 10 What is the constant of proportionality Write your answer as a whole number or decimal

Samantha Nyla and Jerry own shares of stock in the Triumph Hotels company The shares of stock that they own have a combined value of 6 880 Samantha owns 70 shares Nyla owns 50 shares and Jerry owns 40 shares What is the value of the shares Samantha owns A 98 B 301 C 3 010 D 4 816

3 P 1 according to the partial construction shown what is the next step in constructing a line perpendicular to a point off a lin Owith compass at P draw an arc above a O With compass at P draw an arc below a Owith compass at P draw an arc that intersects a in one place With compass at P draw an arc that intersects a in two places

You are in the market for a new car and will need to finance 20 000 You have a good job with a monthly net pay of 3 000 and want to make an informed decision Directions Use the popup calculator and the loan calculator to complete the chart What is the interest paid for the car Amount of Loan APR Length of Loan Est Monthly Payment Total Price for Car Total Paid in Interest 22 108 09 O 25 000 21 O None of these Deal 1 20 000 5 48 months

7 Mr Steiner purchased a car for about 14 000 Assuming his loan was compounded monthly a interest rate of 4 9 for 72 months a How much will he have paid total b How much more did he pay than the price of the car

2 In a fruit fly choice chamber bottle 23 flies end up on the end of the choice chamber with sugar water and 9 flies end up on the side with distilled water Could the distribution difference be due to random chance Make a null hypothesis and then use the Chi Square test to help you draw a conclusion

The graph shows a relationship between the average number of hours 15 ninth graders spend studying per week and their grade point average Grade Point Average 4 0 3 0 2 0 1 00 0 10 2 4 6 Hours Spent Studying per Week Which equation best models this data set O 10 y 0 281 1 2 O y 1 22 0 28 y 0 28 1 2 y 1 2 0 28 8 x

A company manufactures two models of snowboards standard and deluxe Each deluxe model requires 26 hours to produce and 96 units of material Each standard model requires 13 hours to produce and 80 units of material The company has 858 production hours available and 4000 units of material in stock The deluxe model sells for 272 and the standard model sells for 170 What amount of each model should be produced and sold to obtain the maximum revenue Adeluxe models standard models

Use the following information to determine if the triangles are congruent If the triangles are congruent choose the correct congruence statement and the postulate or theorem used If the triangles are not congruent choose Not Congruent Given BD AC AB CB

Wayne is hanging a string of lights 55 feet long around the three sides of his rectangular patio which is adjacent to his house The length of his patio the side along the house is 7 feet longer than twice its width Find the length and width of the patio

Use the graph to determine which statement describes f x 5 Ay 5 5 y f x 5 OA f x does not have an inverse function because its graph fails the horizontal line test B f x does not have an inverse function because its graph fails the vertical line test C f x has an inverse function because its graph passes the vertical line test OD f x has an inverse function because its graph passes the horizontal line test

Select the correct answer Alice and Amy decide to meet at a party From a corner of the party hall Amy spots Alice at the corner of the hall diagonally opposite her If the party hall is a rectangle that measures 100 feet by 60 feet what is the shortest distance Amy has to walk to reach Alice Round your answer to the nearest foot OA O B O C O D 40 feet 80 feet 117 feet 160 feet

Jackson is conducting an experiment for his Physics class He attaches a weight to the bottom of a metal spring He then pulls the weight down so that it is a distance of 6 Inches from its equilibrium position Jackson then releases the weight and finds that it takes 4 seconds for the spring to complete one oscillation Which function best models the position of the weight 6sin 2 t OA s t OB s t 6cost OC s t 6sin t d f foodlant

A 50 year old male purchased a 20 Year Endowment insurance policy at the age of 40 The face value of the policy was 85 000 He asks his insurance agent for a reduced paid up insurance nonforfeiture option Given the table belo and the permanent insurance amount of 48 20 per thousand determine the reduced paid up insurance value and th annual premium End of Year 7 10 15 20 Year Endowment Options Option 2 Option 1 Cash Value Reduced Paid Up Insurance Option 3 Extended Term 421 562 834 1000 Years Days 26 10 31 182 37 50 226 364 687 20 1000 Life a Annual Premium of 4 097 00 Reduced c Annual Premium of 4 625 00 Reduced

Calculate the unit price to the nearest tenth of a cent and determine the better or best buy based on price alone 1 Theo Berken wants to purchase some batteries The cost of a 6 pack is 5 97 an 8 pack is 7 97 and a carton of four 4 packs is 9 97

Find the original selling price 2 Elisa Carsten noticed this advertisement This week only 187 50 on all mattress sets All sets marke down 25 What is the regular selling price of a mattress set

In an experiment with animals in a petting zoo there are 4 goats 5 sheep and 3 llamas If the gate is left open what is the probability that a goat will get out be put back in and then a llama gets out To solve this problem first determine the event is The probability is 4 dependent independent

Pine Street Rector Street and Taylor Street intersect to form a triangular shaped park as show 54 Rector Street Pine Street 64 Taylor Street What is the correct order of the lengths of the streets from longest to shortest Taylor Pine Rector Pine Taylor Rector Rector Taylor Pine Rector Pine Taylor

The owner of Brookstone coffee has 13 regular full time employees 7 are female and 6 are male As he plans the schedule he likes to ensure exactly two employees on any given shift are male If 5 work a shift how many combinations can be created

The Snoopy balloon in the Macy s Day parade has a 20 foot string that goes from the ground to the kite at a 27 degree angle of elevation How high off the ground is the balloon 27 20 feet

32 Z 0 00 0 50 1 00 2 00 3 00 28 0 13 0 26 23 37 Probability 0 5000 0 6915 0 8413 09772 0 9987 138 The heights of the trees in a forest are normally distributed with a mean of 25 meters and a standard deviation of 6 meters What is the probability that a randomly selected tree in the forest has a height greater than or equal to 37 meters Use the portion of the standard normal table given to help answer the question 39 40 TIME REMAINI 01 27 30

Determine whether each triangle is congruent to A by ASA AAS or not congruent Triangle B Triangle C Triangle D Triangle E Triangle F Triangle G Triangle H Triangle I B E H Choose Choose Not Congruent Congruent by ASA Congruent by AAS Choose Choose Choose Choose Choose Choose

Customers were asked to name their favorite soft drink The results are as follows Construct a frequency distribution for the data set If needed round answers to two decimal places Coca Pepsi Dr Pepper Cola Dr Pepper Sprite Dr Pepper Mountain Coca Mountain Dew Dew Cola Sprite Pepsi Pepsi Coca Cola Dr Coca Cola Pepper Coca Cola Mountain Dew Coca Cola Coca Cola Coca Cola

Katie s Grandma is willing to give her 20 for the first time she shovels her driveway Every time after that her Grandma plans to increase that amount by 15 How much money will Katie have if she shovels the driveway 5 times Select one a 154 O b 35 O c 135 O d 24 The Griswolds spent 3 000 on clothes in 2017 If they increase the amount they spend on clothes by 5 each year How much will they spend on clothing through the year 2020 money Select one O a 13 451 O b 13 225

Select the correct answer I 2 2x 4 If no denominator equals zero which expression is equivalent to 2 16 r 3r 4 OA B r 1 2 x 4 2 x 1 OC 2 OD 2 2 x 4

Question 3 1 point In building a tent Jada ties a rope from the top of a pole 3 meters high to a stake that is 4 meters away from the base of the pole Jada draws this diagram to help find the angle made between the rope and the ground Which equation can Jada use to find the value of x to O a Ob Oc rope Od 4 tan tan x x tan 314 tan x 3 4 4 3 pole 3

A computer purchased for 1 100 loses 16 of its value every year The computer s value can be modeled by the function v t abt where v is the dollar value and t the number of years since purchase A In the exponential model a B In how many years will the computer be worth half its original value Round answer to 1 decimal place years and b

wenty one percent of U S employees who are late for work blame oversleeping You randomly select four U S employees who are late for work and ask them wheth hey blame oversleeping The random variable represents the number of U S employees who are late for work and blame oversleeping Find the mean of the binomial distribution Round to the nearest hundredth as needed

Select the correct answer from the drop down menu The manager of the customer service department of an e commerce company wants to know the average hold time for customers who call the department The department receives about 850 calls each hour The following data set shows the hold time in minutes for 10 calls picked at random 2 1 4 5 3 3 7 4 3 2 Calculate the approximate hold time for all customers who call the customer service department The approximate hold time for all customers who call the customer service department Reset Next is 3 minutes cannot be calculated from the given data is 7 minutes

Christy received a loan of 1800 effective January 20 2021 with an interest rate of 7 5 and maturity da of August 29 2021 Christy made two partial payments 600 on February 5 2021 and 500 on May 15 2021 Use the United States Rule to determine the balance due on the loan at the date of maturity Amount due at maturity Round your answer to the nearest cent

Premier Bank is planning to have a new building constructed They would like the length of the building to be 40 feet longer than its width To fit their needs each floor of the building will add 12 feet to the height of the building The cost of the foundation of the building will be 10 per square foot The cost for each successive floor of the building will be 35 000 They plan to spend 1 180 000 on construction They would also like the perimeter of the building to be 3 times the height of the building Create a system of equations to model the situation above and use it to determine how many of the solutions are viable Note The bank wants the building to be as close to their specifications as possible but the solution does not need to include whole numbers in order to be considered viable OA OB O C OD There are 2 solutions and neither are viable There are 2 solutions and both are viable There is only 1 solution and it is viable There are 2 solutions and only 1 is viable

Percentage of Students Scoring 85 or Better Mathematics x 27 12 13 10 30 45 20 English y 46 28 45 34 56 67 42 Write the linear regression equation for these data rounding all values to the nearest hundredth State the correlation coefficient of the linear regression equation to the nearest hundredth Explain the meaning of this value in the context of these data

What do you get when you cross a bunny and some cheese Find the slope between the following set of points The answer to each problem will match a letter that will allow you to figure out the joke 1 4 7 and 6 11 2 2 4 and 3 2 3 5 8 and 2 4 4 6 5 and 0 5 5 3 12 and 8 7 6 7 0 and 1 4 7 9 3 and 9 7 8 2 15 and 20 3 9 1 1 and 15 4 10 34 12 and 56 23 3 o 5 9 10 9 1 10 9 9 H 5 11 S T 4 1 4 A 0 V 11 2 O 5 R L 2 1 2 1 6 B T Undefined N 23 E 3 16 4 3 7 4

Central School is hosting a Central Has Talent show They will award various prizes for the best 3 acts in the show First place wins the most money and each subsequent place after 1st wins 50 less than the previous place Let x equal the amount of money first place wins Which of the following expressions represents the total amount of prize money Select all that apply