Math Questions

The standard deviation of the mass of 50 mice in a normal population is 5 g. How many mice are within one standard deviation of the mean?

Fiona's Fashion Store is world renowned for its buttoned uniforms. A collection of 36 shirts and 42 jackets contains 842 buttons. A collection of 6 shirts and 7 jackets contains 137 buttons. Each shirt has the same number of buttons, and each jacket has the same number of buttons. How many buttons are there in a Fiona's Fashion shirt, and how many buttons are there in a jacket?

Beth bought 15 tickets to a movie, where adult tickets cost $6.00 and senior citizen tickets cost $4.00. She spent a total of $76. Which system of equations will determine the number of adult tickets, a, and the number of senior citizen tickets, s, Beth purchased? a. a + s = 76 6a + 4s = 15 c. a+s=15 4a + 6s = 76 b. a + s = 15 6a + 4s = 76 d. a + s = 76 6a + 4s = 15

53% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four. (a) P(5)= (Round to three decimal places as needed.) (b) P(x ≥ 6) = (Round to three decimal places as needed.) (c) P(x<4)= (Round to three decimal places as needed.)

56% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four.

In a recent survey, 73% of the community favored building a police substation in their neighborhood. If 14 citizens are chosen, find the probability that exactly 8 of them favor the building of the police substation. 0.094 0.571 0.730 0.013

The Internal Revenue Service claims that the mean wait time for callers during a recent tax filing season was less than 7 minutes. A random sample of 11 callers had a mean wait time of 6.7 minutes and a standard deviation of 3.2 minutes. Does the data support the idea that the wait time was less than 7 minutes. Use a 5% level of significance.

If the population of a country increases at a rate of 1.5% annually and its current population is 430,000, how many years will it take for the population to triple? A. 74 years B. 3 years C. 2 years D. 150 years

Given the equation solve for x and identify if it is an extraneous solution. x = 4, solution is extraneous x = 4, solution is not extraneous x = 5, solution is extraneous x = 5, solution is not extraneous

f(x)=2x³+2x²-8x-8 If there is more than one answer, separate them with commas. Click on "None" if applicable.

Using your knowledge of exponential and logarithmic functions and properties, what is the intensity of a fire alarm that has a sound level of 120 decibels? 10 * 10-12 watts/m² 1.0 x 100 watts/m² 12 watts/m² 1.10 x 102 watts/m²

Determine which numbers could not be used to represent the probability of an event. Select all that apply. A. 320/1058 because probability values cannot be in fraction form. B. 33.3%, this is because probability values cannot be greater than 1. C. 64/25, because probability values cannot be greater than 1. D. 0, because probability values must be greater than 0. E. 0.0002, because probability values must be rounded to two decimal places. F. -1.5, because probability values cannot be less than 0.

Situation: There is a linear relationship between the total cost of a gym membership for the month and the number of fitness class taken that month. One month Mari took 10 classes and it cost her $75. Another month she took 8 classes and paid $60. Question: If the total cost of a gym membership for the month was $97.50, how many fitness classes did Mari take? Answer: Mari attended fitness classes.

Use TVM Solver on your calculator to answer the following questions. Round each answer to the nearest cent. You deposit $300 each month into an account earning 8% interest compounded monthly. a) How much will you have in the account in 15 years? b) How much total money will you put into the account? c) How much total interest will you earn?

In 2009, an earthquake hit Costa Rica, registering a 6.1 on the Richter scale. What was the intensity of this earthquake, assuming the reference value was 1? (R =log(I/I₀)) A. 5.1 B. 4.46 x 10^2 C. 1.26 x 10^5 D. 1.26 x 10^6

In a learning theory project, psychologists discovered that f(t) = 0.8 / (1+e^-0.2t) is a model for describing the proportion of correct responses, f(t), after t learning trials. a. Find the proportion of correct responses prior to learning trials taking place. b. Find the proportion of correct responses after 10 learning trials. c. What is the limiting size of f(t), the proportion of correct responses, as continued learning trials take place?

Bentley invested $1700 in an account that pays 1.5% interest compounded annually. Assuming no deposits or withdrawals are made, write a recursive formula that represents the amount of money Bentley has in the account n years after his initial investment. ao= an =

Avocado Pickers are paid as shown below. What would be the gross earnings for a worker that picks 1,108 avocados? 1-500 Avocados $0.10 each 501 - 700 Avocados $0.14 each Over 700 Avocados $0.18 each

The rod on a pump rises and falls as the pump operates. Function /gives the height of the top of the rod above the pumping unit in feet, L(t), as a function of time in seconds, t, after the pump is activated. L(t) = sin(πt +π/2 ) + 3/2 What is the range of the given function? A. 0 feet to 3 feet B. 0 feet to feet C. 1-foot to feet D. 1 foot to 3 feet

17% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight.

Given the equation 2√x-5=2, solve for x and identify if it is an extraneous solution. a. x = 6, solution is not extraneous b. x = 6, solution is extraneous c. x= 11, solution is not extraneous d. x= 11, solution is extraneous

Ian is a teacher and takes home 46 papers to grade over the weekend. He can grade at a rate of 11 papers per hour. Write a recursive sequence to represent how many papers Ian has remaining to grade after working for n hours. ao = an =

Allison kicks a stone off the edge of a tall cliff. The distance d (in feet), between the rock and the ground seconds after being kicked is d(t)= -t^2 +4t+474. a. How many seconds elapse before the rock is at a height of 424 feet above the ground? Round your answer to the nearest tenth of a second. b. What is the maximum height that the rock reaches? Round your answer to the nearest whole foot.

Complete the table to determine the balance A for P dollars invested at rate r for t years, compounded n times per year. (Round your answers to the nearest cent.) Rate r = 7.5% Time t = 15 years Principal P = $1500 n 1 4 12 365 Continuous compounding A

To get from point A to point B, you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond? 45 meters 34 meters 22 meters 53 meters

A population of fish in a pond is decreasing by 4% each year. The population starts with 250 fish. Which of the following functions represent the population of fish as a function of time? P (t) = 250(4)^t-1 P (t) = 250(1 + .04)^t P (t) = 250(.04)^t-1 P (t) = 250(1-.04)^t

Tomas sells cars and there is a linear relationship between the number of cars he sells each week and his weekly pay. One week Tomas sold 4 cars and he made $820 that week. Another week he sold 6 cars and made $980. Write an equation that models the linear relationship between the number of cars Tomas sells in a week and his pay for that week. DO NOT USE ANY SPACES between variables, constants, equals signs, and operation signs. For example, DO NOT enter y = 2x + 1. DO ENTER: y=2x+1. Put parentheses around constants that are fractions like this: y=(2/3)x-(1/2) To write your equation, use the variables: p = total weekly pay ($) n = number of cars sold during the week The equation in slope-intercept form is

Select the correct answer. Consider the equation below (x - 2)³ - 6=3 √x + 4. Which statement explains why the solution to the equation is x= 4? A. The x-value of 4 is a x-intercept for both f(x)=(x - 2)³ - 6 and g(x)=3 √x + 4. B. The x-value of 4 produces the same y-value in both f(x)=(x - 2)³ - 6 and g(x) =3√x + 4. C. The x-value of 4 is undefined for both f(x) = (x - 2)³ - 6 and g(x)=3√x + 4. D. The x-value of 4 is defined on the graphs of both f(x) = (x - 2)³ — 6 and g(x) =3√x + 4.

Kaylee is looking to take out a mortgage for $260, 000 from a bank offering an annual interest rate of 5.7%, compounded monthly. Using the formula below, determine her monthly payment, to the nearest dollar, if the loan is taken over 10 years. M = Pr(1+r)"/(1+r)" - 1

There are 3 apples, 4 oranges, and a pear in a basket. Determine each probability that you select an orange and then a pear at random without replacement. Write your answer as a fraction. 2 out of 5 would be typed as 2/5.

Daniela measures her math book and records its width as 21.9 cm to the nearest tenth of a centimeter. The actual measurement of the book's width is 22.0 cm. What is the percent error of her measurement? Round your answer to the nearest tenth of a percent. A. 0.2% B. 0.5% C. 2.3% D. 4.5%

Tara works in a clothing store where she earns a base salary of $100 per day plus 12% of her daily sales. She sold $800 in clothing on Saturday and $1500 in clothing on Sunday. How much did she earn over the two days? A. $276 B. $376 C. $476 D. $576

The average monthly temperature, T, in degrees Celsius, for any month m, for the town of Someplace, is modeled by the function T(m) = 19.1 sin(3π/9 x) + 7.5. a. What is the period of the function and what does it mean? b. Plot one full cycle of the function below. Show all of your thinking work and be sure to label your axes correctly.

Use the function equation to find the n-intercept of the linear function algebraically. C(n)=8n-1240 Write the ordered pair using parentheses like this: (x,y) with no spaces but with the appropriate numerical coordinates instead of x and y. If there is no 'x'-intercept type "N/A" in the blank. The n-intercept is

A shipment of 12 microwave ovens contains 2 defective units. A restaurant buys four of these units. What is the probability of the restaurant buying at least three nondefective units? The probability of the restaurant buying at least three nondefective units is

Katherine just started a running plan where she runs 8 miles the first week and then increases the number of miles she runs by 5% each week. If she keeps up this plan for 19 weeks, how many total miles would Katherine have run, to the nearest whole number?

Mia opens a coffee shop in the first week of January. The function W(x) = 0.002x3 -0.01x2 models the total number of customers visiting the shop since it opened after x days. She then opens an ice cream parlor in the month of February. The function R(x) = x2 - 4x + 13 models the total number of customers visiting the parlor since it opened after x days. Which function represents the difference of the number of customers visiting the two shops? A. D(x) = 0.002x3 +1.01x2 - 4x + 13 B. D(x) = 0.002x3 - 1.01x2 + 4x - 13 C. D(x) = 0.002x3 - 0.99x2 - 4x + 13 D. D(x) = 0.002x3 +0.99x2 + 4x - 13

green green red red red red blue blue blue A box contains balls with the colors shown at the right. Find the probability for randomly selecting a green ball and then a blue ball, one after the other, without replacing them. Write your answer as a fraction. 2 out of 5 would be typed as 2/5.

The price per share of a professional sports team increased from $58 to $65 over the past year. What is the stock's percent increase during this time? Round your answer to the nearest percent. A 7% B. 9% C. 11% D. 12%

Determine whether the distribution is a discrete probability distribution. Is the distribution a discrete probability distribution? Why? Choose the correct answer below. A. No, because some of the probabilities have values greater than 1 or less than 0. B. Yes, because the probabilities sum to 1 and are all between 0 and 1, inclusive. C. No, because the total probability is not equal to 1. D. Yes, because the distribution is symmetric.

Answer the following questions about P(x)=x^3-4x²-3x+18: a. The polynomial P(x) has no remainder when divided by (x+2). List all of the roots of P(x). showing how you found the roots algebraically. b. Sketch a graph of the function f(x) =x+2/P(x) and explain or show algebraically how you found P(x) the asymptotes and holes, if any.

An analog stopwatch has 60 tick marks, one for each second. After the stopwatch has been running for a few minutes, it is stopped randomly. What is the probability of the stopwatch's hand landing on the 9, 30, 45, or 51? 9.1% 7.9% 7.3% 6.7%

A calculator company produces a scientific calculator and a graphing calculator. Long-term projections indicate an expected demand of at least 100 scientific and 80 graphing calculators each day. Because of limitations on production capacity, no more than 200 scientific and 170 graphing calculators can be made daily. To satisfy a shipping contract, a total of at least 200 calculators must be shipped each day. If each scientific calculator sold results in a $2 loss, but each graphing calculator produces a $5 profit, how many of each type should be made daily to maximize net profits?

A warehouse employs 21 workers on first shift, 15 workers on second shift, and 10 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing exactly five first-shift workers. The probability of choosing exactly five first-shift workers is

Priya starts with $50 in her bank account. She then deposits $20 each week for 12 weeks. 1. Write an equation that represents the relationship between the dollar amount in her bank account and the number of weeks of saving. 2. Graph your equation using graphing technology. Mark the point on the graph that represents the amount after 3 weeks. 3. How many weeks does it take her to have $250 in her bank account? Mark this point on the graph.

A probability experiment consists of rolling a 6-sided die. Find the probability of the event below. rolling a number less than 3 The probability is

Drag the values to the correct locations on the image. Not all values will be used. Function fis a logarithmic function with a vertical asymptote at x = 0 and an x-intercept at (4,0). The function is decreasing over the interval (0,infinity). Function g is represented by the equation g(x)= log₂ (x + 3) - 2 Over which interval are both functions positive?

Which function defines (g - f)(x)? f(x) = 3√12x + 1 + 4 g(x) = log(x − 3) + 6 A. (g-f)(x) = log x - 3√12x - 12 B. (g - f)(x) = log(x − 3) - 3√12x+1 - 10 C. (g - f)(x) = log(x - 3) - 3√12x+1 + 2 D. (g - f)(x) = log(x - 3) - 3√12x+1 +10

Your school is printing programs for the honor society induction ceremony. L & L Printing will print the programs for $350 plus an additional $1.50 per program. Red Baron will print the programs for $1.82. Identify the y-intercept for each of the Printing Companies. L & L Printing = Red Baron =

Triangle ABC has sides with lenths of 3, 6, and 8. Classify each of the transformations described as producing a triangle similar to triangle ABC or a triangle not similar to triangle ABC. Match each transformation to either similar to triangle ABC or not similar to triangle ABC. Column A Column B 1. ___ Multiply each side length by 3.5. a.Similar to triangle ABC. 2. ____ Add 12 to each side length. b. Not similar to triangle ABC. 3. _____Subtract 2 from each side length. 4. ___Divide each side length by 0.75.