Math Questions

Use the calculator displays to the right to make a decision to reject or fail to reject the null hypothesis at a significance level of a = 0.01 Choose the correct answer below. A. Since the P-value is greater than a, reject the null hypothesis. B. Since the P-value is less than a, fail to reject the null hypothesis. C. Since the P-value is greater than a, fail to reject the null hypothesis. D. Since the P-value is less than a, reject the null hypothesis.

Given the points (7,3) and (k, -7), for which values of k would the distance between the points be 2√/41? A. 17 or 2 B. 15 or -1 C. 14 or -4 D. 17 or -4

If an oxygen bottle delivers 7 cubic feet of oxygen in 4 minutes at 27,000 feet and -65 degrees F. How much will the system deliver in 13 minutes? Note: this is a direct proportion. 22.75 cu.ft. 17.25 cu.ft. 14cu.ft.

A dilation has center (0, 0). Find the image of each point for the given scale factor. C(0, 4); D(1/2)(C) A. (0,2) B. (1/2,0) C. (1/2, 4/1) D. (4,0)

Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. If interest rates stay at 4% APR and I continue to make my monthly $75 deposits into my retirement plan, I should have at least $30,000 saved when I retire in 20 years.

At a local Brownsville play production, 400 tickets were sold. The ticket prices varied on the seating arrangements and cost $8, $10, or $12. The total income from ticket sales reached $3700. If the combined number of $8 and $10 priced tickets sold was 7 times the number of $12 tickets sold, how many tickets of each type were sold? Number of $8 tickets sold Number of $10 tickets sold Number of $12 tickets sold

Decibels are a measure of sound on a logarithmic scale, where the number in front of the zero represents the number of powers of 10 (can think of as the number of zeros). As an example, a whisper is around 10 dB (power ratio of 10 / 1 zero) while a jet engine is around 120 dB (power ratio of 1,000,000,000,000/ 12 zeros). Convert the value of a washing machine at 80 decibels into a power ratio.

Suppose you have a bag of 10 marbles that includes 4 red marbles. Create a table that shows the theoretical probability distribution of how many reds you could choose if you take out 2 marbles.

Find the distance between the points (4, 0) and (-3, 4). A. √17 B. √65 C. 65 D. 17

The pressure gauge, which is reading in gauge pressure, on a cylinder with a volume of 2310 cu. in. reads 1475 psig. If the gas were transferred to a new cylinder with a volume of 3465 cu. in., what would the pressure gauge on the new cylinder read? Assume the temperature remains constant. Boyles' Law P₁V₁ = P2V2 993.11 psig 978.43 psig 983.33 psig

Country Day's scholarship fund receives a gift of $ 195000. The money is invested in stocks, bonds, and CDs. CDs pay 4.5 % interest, bonds pay 3.5 % interest, and stocks pay 8.3 % interest. Country day invests $10000 more in bonds than in CDs. If the annual income from the investments is $ 10975, how much was invested in each vehicle? Country Day invested $ in stocks. Country Day invested S in bonds. Country Day invested S in CDs.

An investor will randomly select 6 stocks from 20 for an investment. How many combinations are possible?

Select the correct answer. The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake, Io. M = log ( I / I0 ) What is the approximate intensity of an earthquake with a Richter scale magnitude of 4.8? Use a reference intensity of 1. A.6,492,506 B.63,096 C.660,057 D.0.681

An assistant is in charge of ordering lunch for the monthly office meeting. For the first month, she orders five Falafel wraps, fifteen Turkey BLT sandwiches, and twenty hot Ham and Swiss paninis for a total of $271.25. The next month, she orders eight Falafel wraps, eighteen Turkey BLT sandwiches, and fourteen hot Ham and Swiss paninis for a total of $272. For the third month, she orders twelve Falafel wraps, sixteen Turkey BLT sandwiches, and twelve hot Ham and Swiss paninis for a total of $267. How much does each sandwich cost?

The angle of elevation to the top of a Building in New York is found to be 6 degrees from the ground at a distance of 1 mile from the base of the building. Using this information, find the height of the building. Round to the tenths. Hint: 1 mile = 5280 feet

What type of triangle has side lengths 9, 10, and √130? A. right B. obtuse C. acute D. not a triangle

Your medical research team is investigating the standard deviation of the cost of a 30-day supply of a certain heart medication. A pharmaceutical company thinks that the standard deviation of the cost is more than $23. You want to support this claim. How would you write the null and alternative hypotheses?

If the length of one leg of a right triangle is 4 and the hypotenuse is √65, what is the length of the other leg? A. 7 B. √33 Oc. √69 D. √3

What is the slope of a line that is parallel to the line whose equation is 5y + 2x = 12? A. 2/5 B. -5/2 C. 5/2 D. -2/5

Line c has an equation of y = -1/3x - 4. Line d is perpendicular to line c and passes through (-1, 3). What is the equation of line d? Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

Line t has an equation of y = -10x + 9. Line u includes the point (-1, 5) and is parallel to line t. What is the equation of line u? Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

The number of stickers Kevin had was 1/4 more than the number of stickers John had. After Kevin gave 96 stickers to John, John had twice as many stickers as Kevin. How many stickers did John have at the end?

Our hearts beat approximately 70 times per minute. Express in scientific notation how many times the heart beats over a lifetime of 68 years (ignore leap years). Round the decimal factor in your scientific notation answer to two decimal places. The number of heartbeats over a lifetime of 68 years is

You just drove your car 500 miles and used 60 gallons of gas. You know that the gas tank on your car holds 13 1/2 gallons of gas. Step 1 of 2: What is the most number of miles you can drive on one tank of gas?

The height, h, in metres, of the tide in a given location on a given day at "t" hours after midnight can be modelled using the sinusoidal function: h(t) = 5 sin [ π/6 († − 5)] + 7. (a) Find the maximum and minimum values for the depth, h, of the water. (b) What time is high tide? What time is low tide? (c) What is the depth of the water at 9:00 a.m.? I

At Edmonds Community College freshman need to take a 100 level Math and English plus optional Philosophy course. In any quarter the college needs to make available 4 less English sections than Math sections. In any quarter student demand for the optional Philosophy course is half as many sections as English sections. Available classrooms limit the total sections of all three courses to 64 Given these constraints how many sections of each course should the college make available each quarter to meet demand? Math sections English sections Philosophy sections

Find the value of the following: cos(tan-¹ 4/9)

Suppose you have borrowed two calculators from friends, but you do not know whether they are set to work in radians or degrees. You ask each calculator to evaluate cos3.14 . One calculator replies with an answer of -0.99999; the other calculator replies with an answer of 0.998499. Without further use of a calculator, how would you decide which calculator is using degrees? Explain your answer.

Suppose you bought XYZ stock 1 year ago for $6.52 per share and sell it at $9.56. You also pay a commission of $0.15 per share on your sale. What is the total return on your investment?

What type of triangle has side lengths 2, √12, and √19? A. not a triangle B. acute C. right D. obtuse

Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 60 feet, 40 feet, and 30 feet long. If the two shortest sides of quadrilateral EFGH are 6 feet long and 12 feet long, how long is the 2nd longest side on quadrilateral EFGH? A. 16 feet B. 18 feet C. 20 feet D. 24 feet

Line r has an equation of y-3 = 5(x + 4). Line s includes the point (3, 10) and is parallel to line r. What is the equation of line s? Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

A researcher studies children in elementary school and finds a strong positive linear asso- ciation between height and reading scores. a) Does this mean that taller children are generally better readers? b) What might explain the strong correlation?

How much must be deposited today into the following account in order to have $50,000 in 5 years for a down payment on a house? Assume no additional deposits are made. An account with annual compounding and an APR of 6%

In a hydraulic system, an input piston has an area of 18.7.0 in² and an output piston with an area 90.0 in². A weight or resistance of 284 pounds is on the output piston. What is the pressure? 3,001 psi 59.4 psi 3.16 psi 11.46 psi

The midpoint of a segment is (6, -6) and one endpoint is (13,-1). Find the coordinates of the other endpoint. A. (-1,-11) B. (20, 4) C. (-1,4) D. (20, -11)

If the lengths of the legs of a right triangle are 5 and 7, what is the length of the hypotenuse? A. 2√3 B. 12 C. √74 D. √35

Find the value of the following: tan(cos-¹ 5/8) √(?)/ ( )

In a poll, 1,005 adults in a country were asked whether they favor or oppose the use of "federal tax dollars to fund medical research using stem cells obtained from human embryos." Among the respondents, 47% said that they were in favor. Identify the population and the sample. What is the population in the given problem? Choose the correct answer below. A. All adults in the country B. 47% of the 1,005 adults selected C. 47% of all adults in the country D. The 1,005 adults selected Identify the sample for the given problem. Choose the correct answer below. A. 47% of the 1,005 adults selected B. The 1,005 adults selected C. 47% of all adults in the country. D. All adults in the country

The system below has the solution (z + 11, z − 8, z) . If z = 12, find z and y. x-3=y+16 z-4=x- 15 y+20=z+12

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 283 people entered the park, and the admission fees collected totaled 862.00 dollars. How many children and how many adults were admitted?

Solve the following system of equations. Record your answer as an ordered triple. Don't forget to include the parentheses in your answer. { 4y-2z=18 {5x-4y+2z= -23 {-x+y+5z=11 (x,y,z)=

Mr. Cutler makes clay bricks and clay tiles to sell at maker fairs. It takes him 10 minutes to make a brick and 20 minutes to make a tile. Each brick uses 3 pounds of clay and each tile uses 2 pounds of clay. He has 160 minutes available for making the bricks and tiles and has 20 pounds of clay on hand. If he makes a profit of $2 on each brick and $3 on each tile, how many bricks and tiles should he make to maximize his profit? A.Mr. Cutler should make 7 bricks and 0 tiles to maximize his profit. B.Mr. Cutler should make 0 bricks and 8 tiles to maximize his profit. C.Mr. Cutler should make 7 bricks and 2 tiles to maximize his profit. D.Mr. Cutler should make 2 bricks and 7 tiles to maximize his profit.

Let x represent one number and let y represent the other number. Four times a first number decreased by a second number is 2. The first number increased by twice the second number is -13. Use the given conditions to write a system of equations. Solve the system and find the numbers. Write a system of equations. A . 4x-y=2,x+y=-12 B. x-3y=3, x-y=-13 C. 3x+y=-12, x+y=3 D. 4x-y=2, x+2y = - 13 Solve the system and find the numbers. x= __ and y=___. The numbers are x =

The midpoint of a segment is (-6, -5) and one endpoint is (1, 3). Find the coordinates of the other endpoint. A. (8, 11) B. (-13, -13) C. (8,-13) D. (-13, 11)

If the length of one leg of a right triangle is 8 and the hypotenuse is √113, what is the length of the other leg? A. 19 B. 9 C.7 D. √177

Suppose someone wants to accumulate $40,000 for a college fund over the next 15 years. Determine whether the following investment plans will allow the person to reach the goal. Assume the compounding and payment periods are the same. The person deposits $140 per month into an account with an APR of 6%. Will the person meet the goal? Select the correct choice below and fill in the answer box to complete your choice. (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.) A. Yes, because the amount that will be in the college fund, S $40,000. B. No, because the amount that will be in the college fund, S $40,000. is more than the goal of is less than the goal of

A triangle drawn on a map has sides that measure 7 cm, 14 cm, and 12 cm. The shortest of the corresponding real-life distances is 120 km. Find the longest of the real-life distances. A. 195.7 km B. 250.0 km C. 205.7 km D. 240.0 km

Sally receives a bill from the medical clinic for services totaling $350.00. A 10% discount is offered to patients who pay their bill within 60 days. How much would Sally save by paying her bill within 60 days? 10% is figured by multiplying by 0.10 (x0.10), or by moving the decimal point one place to the left.

Select the correct answer from each drop-down menu. Of the 16 cards drawn from a standard deck of 52 cards, experimental probability of drawing a spade is a spade from a standard deck of cards is 5 of the cards are spades. Based on the cards that were drawn, the and the difference of the experimental and theoretical probabilities of drawing a spade from a standard deck of cards is____