Basic Math Questions and Answers

A typical human red blood cell has an average diameter of 8.2 x 10-6m, while a typical human skin cell has an average diameter of 30 x 10-6m. How many times larger is the diameter of a skin cell than a red blood cell?

A group of adult males has foot lengths with a mean of 27.27 cm and a standard deviation of 1.15 cm. Use the range rule of thumb to identify the limits separating values that are significantly low or significantly high. Is the adult male foot length of 24.6 cm significantly low or significantly high? Explain. Significantly low values are cm or lower. (Type an integer or a decimal. Do not round.) Significantly high values are 0 cm or higher. (Type an integer or a decimal. Do not round.) Select the correct choice below and fill in the answer box(es) to complete your choice. The adult male foot length of 24.6 cm is significantly high because it is greater than (Type an integer or a decimal. Do not round.) The adult male foot length of 24.6 cm is not significant because it is between (Type integers or decimals. Do not round.) The adult male foot length of 24.6 cm is significantly low because it is less than (Type an integer or a decimal. Do not round.)

Use synthetic division to find the result when 2x4 - 10x³ + 16x² - 7x - 4 is r(x) 2. If there is a remainder, express the result in the form q(x) + b(x)* divided by x-2. If there is a reminder, express the result in form q(x) + r(x)/b(x)

Pocahontas received an 80.7% on the most recent French test. What fraction of the questions did Pocahontas answer correctly?

Simplify the expression to a + bi form: (12 - 9i)²

Factor the expression completely. 18x² - 3

Solve for all values of x by factoring. x²+x=2=0

You are a lumber jack. You are chopping down a tree that is 91 cm thick. Every time you pull the you cut through 2 cm of the tree. If 24 cm of the tree were already cut through when you started, how many pulls of the saw would be necessary for you to completely cut the tree down?

The wheels on Noah's bike have a circumference of about 5 feet. 1. How far does the bike travel as the wheel makes 15 complete rotations? 2. How many times do the wheels rotate if Noah rides 40 feet?

Junior is buying bags of grass seed and flower pots to do some work on his yard. Each bag of grass seed cost $23 and each flower pot cost $15. He has at most $120 total to spend on this project. As Junior is at the store shopping, he fills his cart with 3 bags of grass seed and 3 flower pots. Does he have enough money to purchase all the items in his cart? o Yes O No o Not enough information to determine

You are in charge of the marketing budget for a company. You have allowed a maximum budget of $10,000 for banners on various websites. It costs $600 to run a single banner for one year. How many banners can be run for one year without exceeding the maximum budget?

You are crossing a toll bridge. You currently have $40 on your toll pass and each crossing costs you $3. How many times can you cross the toll bridge without having to adding money to your toll pass?

Factor the expression completely. 80x² +50

A mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed, with a mean life of 35,000 miles and a standard deviation of 2600 miles. He wants to give a guarantee for free replacement of tires that don't wear well. How should he word his guarantee if he is willing to replace approximately 10% of the tires?

Mr. Wells tells his class of 24 that when they have completed the assignment, they may play online math games. At the end of class, 40% of the class is playing online math games. Approximately how many students st need to complete their assignment?

A consonant digraph is two consonants together that stand for only one sound. A. Read the word. Circle the consonant digraph in each word. The consonant digraph may be at the beginning or the end of the word. 1. phone 3. chop 5. fish 2. whale 4. ring 6. thin

Let P(x) = x32 — x25 + x18x11 + x4 – x³ + 1. Which of the following are CORRECT ? Number of real roots of P(x) = 0 are zero. Number of imaginary roots of P(x) = 0 are 32. Number of negative roots of P(x) = 0 are zero. Number of imaginary roots of P(x) + P(-x) = 0 are 32.

John drove 138 miles in 3 hours. Use the formula d = rt, where d is distance, r is rate, and t is time, to find John's rate of speed in miles perhour. 135 miles per hour 46 miles per hour 0.02 miles per hour 414 miles per hour

Jacob is working two summer jobs, making $12 per hour washing cars and making $8 per hour landscaping. In a given week, he can work no more than 13 total hours and must earn a minimum of $120. Also, he must work no more than 10 hours washing cars and at least 3 hours landscaping. If a represents the number of hours washing cars and y represents the number of hours landscaping, write and solve a system of inequalities graphically and determine one possible solution.

Two mountain peaks are known to be 15 kilometers apart. A person located at a vista point such that a right angle is spanned when he looks from one peak to the other is told that the distances from the vista point to each peak differ by 3 kilometers. How far is the vista point from each mountain peak?

A flower shop sells two types of bouquets. Bouquet A consists of a dozen roses and some carnations. Bouquet B consists of a dozen peonies and some lilies. The price of one dozen peonies is 3 times the price of one dozen roses, as shown in the table. The cost of five Bouquets A is the same as the cost of two Bouquets B. What is the cost of a dozen roses?

A recipe for trail mix uses 7 ounces of almonds with 5 ounces of raisins. (Almonds and raisins are the only ingredients.) How many ounces of almonds would be in a one-pound bag of this trail mix? Explain or show your reasoning.

Which pair of linear equations could describe the opposite sides of a parallelogram? 5x5y = 30 and y = x + 16 0 2x + y 24 and y = 2x + 13 -9x9y = 18 and y = x - 4 x+2y =16 and y = 2x + 7

In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings. What is the probability that a student who has a brother also has a sister?

An object is dropped from a tower, 196 ft above the ground. The object's height above ground t sec into the fall is s=196-16t². a. What is the object's velocity, speed, and acceleration at time t? b. About how long does it take the object to hit the ground? c. What is the object's velocity at the moment of impact? The object's velocity at time t is .

For Valentine's Day, a company makes decorative cylinder-shaped canisters and fills them with cinnamon candies. Each canister is 10 in. high and has a radius of 2 in. They want to make 700 canisters and need to determine how much candy to buy. What is the total number of cubic inches that will be filled with candy? Use 3.14 for .

Madeline is going to invest in an account paying an interest rate of 4.4% compounded annually. How much would Madeline need to invest, to the nearest ten dollars, for the value of the account to reach $16,600 in 12 years?

At time t, the position of a body moving along the s-axis is s= - t³ + 12t² - 45t m. a. Find the body's acceleration each time the velocity is zero. b. Find the body's speed each time the acceleration is zero. c. Find the total distance traveled by the body from t = 0 to t = 4. a. What is the body's acceleration each time the velocity is zero? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. m/s2 (Simplify your answer. Use a comma to separate answers as needed.) OB. There is no solution.

Which equation has the same solution as x² - 8x+8 = -10? (x-4)² = -2 (x-4)² = -34 ○ (x+4)² = −34 (x+4)² = -2

A recipe for 2 dozen corn muffins calls for 3 cup of flour. The number of muffins varies directly with the amount of flour you use. Estimate how many cups of flour are needed to make 6 dozen muffins.

The formula used to convert between degrees Fahrenheit and degrees Celsius is "the sum of \(32\) and \(\frac95\) times the temperature in degrees Celsius". What is an equivalent algebraic expression? Use \(C\) to represent the degrees Celsius.

Assume that a hypothesis test will be conducted using significance level a = .01 and alternative hypothesis Ha: u: 19.3. Furthermore, we will use the following sample data: n = 12, x-bar = 18.8, and s= 2.1. Find the p-value for the test. 0.5730 0.4270 0.3810 0.8540

The Mitchells bought a $219,000 townhome. They made a down payment of $47,000 and took out a mortgage for the rest. Over the course of 30 years they made monthly payments of $1031.24 on their mortgage until it was paid off. (a) What was the total amount they ended up paying for the townhome (including the down payment and monthly payments)? (b) How much interest did they pay on the mortgage?

Winston made strawberry jam anc raspberry jam. He made enough strawberry jam to fill 1/2 of a jar. If he made 4 times as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill?

Gerda discovers that the lifetime of light bulbs is normally distributed with mean 1000 hours and standard deviation 100 hours. If Gerda buys 50 bulbs, how many of them are expected to last less than 800 hours? Give your answer correct to the nearest integer.

An engineer estimated the weight of a steel beam to be 600 pounds. The actual weight of the beam was 63 pounds. Find the absolute error and the percent error of the engineer's estimate. If necessary, round your answers the nearest tenth.

A busload of campers stopped at a dairy stand for ice cream. They ordered 40 cones some soft-serve at $2.25 and the rest hard-pack at $2.75. If the total bill was $96, how many of each type of cone were ordered?

A small telecommunications company invested its 2010 net income of $539,900 in a savings account for 5 years and 1 months. Money was earning interest at a rate of 6.50% compounded monthly. a. Calculate the amount it would have in this account at the end of the period. b. Calculate the interest earned.

Ashley estimated the height of her office building to be 12 m. The actual height of her office building was 13.4 m. Find the absolute error and the percent error of Ashley's estimate. If necessary, round your answers to the nearest tenth.

In a clinical test with 1400 subjects, 420 showed improvement from the treatment. Find the margin of error for the 99% confidence Interval used to estimate the population proportion. 0.0240 0.0180 0.0315 0.0276

Mrs. Ashton buys journals for the students in her language arts class. She pays $64.48 for all of the journals. If there are 26 students in her class, how much does each journal cost?

The growth of a certain bacteria population can be modeled by the function A(t) = 850e0.0649t where A(t) is the number of bacteria and t represents the time in minutes. a. What is the initial number of bacteria? (round to the nearest whole number of bacteria.) b. What is the number of bacteria after 5 minutes? (round to the nearest whole number of bacteria.) c. How long will it take for the number of bacteria to double? (your answer must be accurate to at least 3 decimal places.)

The daily rainfall in Newtown in April is normally distributed with mean 43 mm and standard deviation 22 mm. Given that there are 30 days in April, on how many days do we expect a rainfall of between 40 mm and 50 mm? Give your answer correct to the nearest integer.

Amy, Shen, and Rafael sent a total of 90 text messages during the weekend. Amy sent 5 fewer messages than Rafael. Shen sent 3 times as many messages as Rafael. How many messages did they each send? Number of text messages Amy sent: Number of text messages Shen sent: Number of text messages Rafael sent: 800 X

A sun in a distant galaxy has an estimated Mass of 1.73188 x 10³1 kg and the earth has a mass of 5.972 x 1024 kg, how many earths would it take to equal the mass of the sun? Write your answer in scientific notation. It would take earths to equal the mass of the sun.

Solve the equation in x over the interval [0,2x). Give exact solutions. 10 cos 2x = -5 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution set is {}. (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) OB. The solution set is Ø.

Which is greater, O 37 50 O 37% 37 50 or 37%?

Tommy's Tree Farm sold 7 red maple trees so far this month. They expect to sell some more red maple trees at their upcoming Fall Festival. The rule for this pattern is t = m + 7, where m is the number of red maple trees they sell at the Fall Festival and t is the total number of red maple trees they will have sold this month. llow the rule

Suppose an investor deposits $21,000 into a savings account for 4 years at 8.5% interest. Find the total amount of money in the account if the interest is: 1. Compounded annually, then the investment is worth 2. Compounded quarterly, then the investment is worth 3. Compounded monthly, then the investment is worth 4. Compounded weekly, then the investment is worth after 4 years. after 4 years. after 4 years. after 4 years. 5. Compounded daily, then the investment is worth after 4 years. Round your answers to the nearest cent. Use a dollar sign to indicate that your answer is a monetary value.

A certain disease has an incidence rate of 0.9%. If the false negative rate is 4% and the false positive rate is 1%, compute the probability that a person who tests positive actually has the disease. Give your answer accurate to at least 3 decimal places