Basic Math Questions and Answers

Find the midpoint of the line segment whose endpoints (-9,-5), (1,8)

Use synthetic division to divide f(x) = x3 - 2x2 - 23x+60 by x-4. Use the result to find all zeros of f. (x3 - 2x² - 23x +60) = (x-4)= ?

On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapidly increases as the trees blossom. The relationship between the elapsed time t, in days, since the beginning of spring, and the number of locusts, L(t), is modeled by the following function: L(t)= 990 (1.47) ^t/4.8 Complete the following sentence about the rate of change in the locust population. The population of locusts gains 47% of its size every ____ days.

At the beginning of an experiment, there are 400 grams of contaminants. Each hour, three-fourths of the contaminants are filtered out. A. Formulate a recursive sequence modeling the number of grams after n hours. B. Use the model to calculate the amount of contaminants after the third hour of the experiment.

A cooler at a picnic contains 100 cans of soda covered by ice. There are 15 cans of cola, 33 cans of orange soda, 21 cans of ginger ale, and 31 cans of root beer. The cans are all the same size and shape. If one can is selected at random from the cooler, determine the probability that the soda selected is root beer.

What is the probability of getting either a king or a queen when drawing a single card from a deck of 52 cards? What is the probability that the card is either a king or a queen?

Which is true regarding secants and chords? Chords intersect the perimeter of a circle at two points. Secants intersect the perimeter of a circle once. Chords intersect the perimeter of a circle at one point. Secants intersect the perimeter of a circle twice. Chords and secants intersect the perimeter of a circle twice. Chords are segments entirely within a circle, while secants are lines or rays that extend through a circle. Chords and secants intersect the perimeter of a circle twice. Chords are lines or rays that extend through a circle, while secants are segments entirely within a circle.

A population of butterflies grow in such a way that each generation is simply 1.5 times the previous generation. There were 350 butterflies in the first generation, how many will there be by the 19th generation?

Give the following number in Base 10. 102 5 =

Name the set of numbers to which √25 does NOT belong. N = natural numbers Q = rational numbers W = whole numbers I = irrational numbers Z = integers Enter a, b, c, d, or e. a. only Z c. only Q b. only I d. both Z and Q. e. both I and W

According to a study, 81% of K-12 schools or districts in a country use digital content such as ebooks, audio books, and digital textbooks. Of these 81%, 6 out of 10 use digital content as part of their curriculum. Find the probability that a randomly selected school or district uses digital content and uses it as part of their curriculum. The probability that a randomly selected school or district uses digital content and uses it as part of their curriculum is (Round to three decimal places as needed.)

Use the given equation, which expresses price p as a function of demand x, to find a function f(p) that expresses demand x as a function of price p. Give the domain of f(p). p=36-0.5x², 0≤x≤ √72

Which of the following illustrates the associative property of multiplication? Enter a, b, c, d, or e. (ab + cd) (efg) = a. abefg+cdefg c. [(ab + cd)e]fg b. (cd + ab)efg d. (abe + cde)fg e. (egf) (ab + cd)

You own 16 CDs. You want to randomly arrange 6 of them in a CD rack. What is the probability that the rack ends up in alphabetical order? The probability that the CDs are in alphabetical order is

A total of 15 basketballs, including 4 Brand A, 6 Brand B, and 5 other brand-name balls, are on a basketball court. Barry closes his eyes and arbitrarily picks up a ball from the court. Determine the probability that the ball selected is not a Brand B ball. The probability that the ball is not a Brand B is

At the beginning of an experiment, there are 600 grams of contaminants. Each hour, half of the contaminants are filtered out. How many grams of contaminants remain after 4 hours?

A pole is standing in a small lake. If one- sixth of the length of the pole is in the sand at the bottom of the lake, 25 ft are in the water, and two-thirds of the total length is in the air above the water, what is the length of the pole?

A Ferris wheel has a diameter of 42 feet. It rotates 3 times per minute. Approximately how far will a passenger travel during a 5-minute ride? 132 feet 659 feet 1,978 feet 3,956 feet

For the data from a sample shown below, answer the questions. Round to 2 decimal places. X 10.5 19.7 8.3 17.7 14.4 Find the mean: 14.12 Find the median: 14.4 Find the standard deviation: 4.76

Suppose a jar contains 17 red marbles and 28 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red.

The following data represents the price of 8 houses currently on the market in Tulsa, OK. $274946 $236728 $253943 $337384 $210684 $254725 $131693 $328884 Find the range of the data: $

Joseph was solving the equation 5x-6=x-18. If he solved it correctly, which of these equations would represent the final step? A. 6x = -24 B. 4x = -24 C. 4x = -12 D. -4x = -12

Mike's car gets an average of 28 mpg. There are 12 gallons of fuel in Mike's car when he starts his trip of 140 miles. About how many gallons are left in his at the end of his trip? a. 5 gallons b. 6 gallons c.7 gallons d. 8 gallons

Martin is shopping for a new MP3 player. The one he wants is on sale for $119.95 CDN. He has found the same MP3 player for $105.99 US on a website for a US store. The exchange rate is $1 US = $1.09 CDN. Determine which store has the lower price in Canadian Dollars. Identify one factor, besides the price, that Martin should consider before making his purchase.

A new sneaker claims that it can make athletes jump higher. A sample of 25 athletes is asked to jump once with their own sneakers on and once wearing the new sneakers. The average jump increased by 1.5 inches with the new sneakers! Assume that the standard deviation of the sampling distribution is .6 inches. Find a 95% confidence interval for the mean increase and then interpret what this means.

If a first experiment can be performed in 8 distinct ways and a second experiment can be performed in 10 distinct ways, the two experiments together can be performed in how many distinct ways?

What is the seventh term of a sequence whose first term is 1 and whose common ratio is 3? 243 729 2,187

Which source of bias is most relevant to the following situation: A winner is chosen on a popular TV show by having people pay to register their vote using a cell phone. self-interest study voluntary response bias nonresponse bias or missing data perceived lack of anonymity loaded or leading question

Which of the following expressions represents the distance between -3.9 and -4.7?

Find the Z-score such that the area under the standard normal curve to the left is 0.52. Click the icon to view a table of areas under the normal curve. is the Z-score such that the area under the curve to the left is 0.52. (Round to two decimal places as needed.)

A coffee franchise is opening a new store. The company estimates that there is a 70% chance the store will have a profit of $20,000, a 15% chance the store will break even, and a 15% chance the store will lose $3,000. Determine the expected gain or loss for this store. The expected value is $. (Round to the nearest cent as needed.)

Find the domain of the rational function. f(x) =2x-2/4x + 4 Choose the correct domain below. Select the correct choice below, and if necessary, fill in the answer box to complete your choice. A. The domain of f(x) is all real numbers except (Use a comma to separate answers as needed.) B. The domain of f(x) is all real numbers.

A cooler contains 9 cans of soda; 5 colas, 3 orange, and 1 cherry. Two cans are selected at random without replacement. Find the probability that at least one can is cherry.

You are debating about whether to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00. If a savings account earns 4.5% APR interest, how much do you really save with a refurbished computer if you put the difference into the savings account for a year?

Select the correct answer. Which two points satisfy y=-x+ 2x + 4 and x + y = 4? A. (0,4) and (4,0) B. (0, 4) and (3, 1) C. (7,-3) and (0,4) D. (7,-3) and (4,0)

Which value of r indicates a stronger correlation: r=0.792 or r= -0.947? Explain your reasoning. Choose the correct answer below. A. r=0.792 represents a stronger correlation because 0.792> - 0.947. B. r= -0.947 represents a stronger correlation because 0.792> - 0.947. C. r= -0.947 represents a stronger correlation because | -0.947| > |0.792). D. r=0.792 represents a stronger correlation because | -0.947| > |0.792.

Present value. A promissory note will pay $25,000 at maturity 6 years from now. How much should you be willing to pay for the note now if money is worth 4.5% compounded continuously?

Find the next term of the following sequence. 9, 6, 4, ... 8/3 3 2

The State Education Department requires local school districts to keep these records on all students: age, race or ethnicity, days absent, current grade level, standardized test scores in reading and mathematics, and any disabilities or special educational needs the student may have. Which of the following are categorical (or qualitative) variables in these records? Reading Test Score Disabilities or Special Needs Mathematics Test Score Current Grade Level Race or Ethnicity Student Name Days Absent Age

Two points P and Q in the Argand diagram rep- resent complex numbers z and 3z + 2 + i. If P moves arround the circle with centre at the origin and radius 2, then Q moves on the circle, whose centre and radius are (a) -2-i, 6 (c) 2+ i, 6 (b) 2-i, 3 (d) 2+ i, 3

Simplify the following expression completely. 6x²/(8x^2+10x)

For the given data: 22; 9; 19; 2; 38; 40; 7; 38; 44; 6; 12; 10; 20; 31; 48; 45 Determine the Quartiles, Q1, Q2 and Q3 of the data: Q1: Q2: Q3:

Present value. A promissory note will pay $65,000 at maturity 7 years from now. How much should you be willing to pay for the note now if money is worth 4% compounded continuously? (Round to the nearest dollar.).

Hawa is going to see a movie and is taking her 5 kids. Each movie ticket costs $15 and there are an assortment of snacks available to purchase for $3 each. How much total money would Hawa have to pay for her family if she were to buy 10 snacks for everybody to share? How much would Hawa have to pay if she bought a snacks for everybody to share?

Form the negation of the statement. There is a rainbow. Choose the correct answer below. A. There are clouds. B.There is not a rainbow. C. There are never rainbows. D. Sometimes there are not rainbows.

Which value of r indicates a stronger correlation: r=0.826 or r=-0.858? Explain your reasoning. Choose the correct answer below. A. r=0.826 represents a stronger correlation because 0.826> - 0.858. B. r=0.826 represents a stronger correlation because | -0.858| > |0.826]. C. r= -0.858 represents a stronger correlation because | -0.858| > |0.826]. D. r=-0.858 represents a stronger correlation because 0.826> - 0.858.

Find all the roots and check your answers. 16x²-25=0 X= (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.)

A hat contains 3 marbles; one red, one blue, and one yellow. Two marbles are selected at random without replacement from the hat. Complete parts a) through e). a) Determine the number of sample points in the sample space. There are sample points in the sample space.

The time it takes Natalie to replace x cell phone screens is given by the equation t = 1+ 3x, where t gives the time in hours. How many hours would it take Natalie to replace 8 screens? A) 25 B) 24 C) 22 D) 4

What's the circumference of a circle with a diameter of 16 inches? Use 3.14 for π.