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Which equation shows the identity Property of Multiplication ?A. a + a + a = 3 x aB. ax 1C. a(b + c) = ab + acD. (a + b) + 9 = a + (9 + b)
General
2 months ago
A lecture hall has 250250 seats with folding arm tablets, 3030 of which are designed for left-handers. The typical size of classes that meet there is 230230, and we can assume that about 1515% of students are left-handed. Use a Normal approximation to find the probability that a right-handed student in one of these classes is forced to use a lefty arm tablet. The probability is nothing.
General
2 months ago
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 95% confident that you estimate is within 3.5% of the true population proportion. How large of a sample size is required?
General
2 months ago
Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area that can be inscribed in the ellipse StartFraction x squared Over 25 EndFraction plusStartFraction y squared Over 16 EndFraction equals1 with sides parallel to the coordinate axes.
General
2 months ago
In purchasing food for a political rally, you erroneously order shucked medium-size Pacific oysters (which come 8 to 12 per U.S. pint) instead of shucked medium-size Atlantic oysters (which come 26 to 38 per U.S. pint). The filled oyster container shipped to you has the interior measure of 1.5 m x 18 cm x 28 cm, and a U.S. pint is equivalent to 0.4732 liter. By how many oysters is the order short of your anticipated count? Assume 10 oysters per pint for Pacific oysters and 32 oysters per pint for Atlantic oysters.
General
2 months ago
The coordinates of P and Q are (2,6) and (4,5) respectively. Equation of a line RS is Y= 2X -3. Determine if the lines are parallel or perpendicular
General
2 months ago
Tickets for the community fair cost $12 for adults and $5 dollars for children. On the first day of the fair, 312 tickets were sold for a total of $2,204 . How many adult tickets and how many child tickets were sold?
General
2 months ago
Find the equation of the line that containsthe point (3, 2) and is parallel to the line 3x+y=-3.
General
2 months ago
The sum of three numbers is -3. The last number is three times the first. The last number is 11 smaller than the second number. What are the three numbers.
General
2 months ago
A panel of 68 economists was asked to predict the average unemployment rate for the upcoming year. The results of the survey follow: Unemployment Rate, % 10.210.410.610.811.011.211.4 Economists2472414125 On the basis of this survey, what does the panel expect the average unemployment rate to be next year? (Round your answer to two decimal places.) ______________%
General
2 months ago
Part 1: Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosing a) an annual raise of $3,500 or b) an annual raise of 5% of his current salary. Procedures: 1. Use the provided information to identify each of Mr. Nicholson's earning opportunities as arithmetic or geometric. For each opportunity, include all the common difference or ratio. 2. Model each of Mr. Nicholson's salary options with a recursive model that includes his potential earnings for the first three years of employment. a. $60,000 salary with an annual raise of $3,500 b. $60,000 salary with an annual raise of 5% of his current salary 3. Suppose Mr. Nicholson plans on working for his new employer for at least 9 years. use each of the recursive models to determine Mr. Nicholson plans on working for his new employer for at least 9 years. Use each of the recursive models to determine Mr. Nicho
General
2 months ago
The circle design a class which represents a circle in the (x,y) coordinate plane. a circle object is initialized with three input arguments. the center of the circle specified as the first two inputs (x,y) and the radius of the circle. by default the circle will be centered at (0, 0) with a radius of 1. c = circle(0, 0, 1) the circle class should provide proper getters/setters for the x and y coordinates of the center as well as the radius. the circle should also have a getarea() and getperimeter() method. finally, the circle should have a method called, ispointwithincircle(x, y) which takes as augments the x and y coordinate of a point and determines whether the point lies within the circle. it should return a boolean indicating whether the point is within the circle.
General
2 months ago
The five-number summary for scores on a statistics test is 11, 35, 61, 70, 79. in all, 380 students took the test. about how many scored between 35 and 61
General
2 months ago
The area of a rectangle is 14 yd2 , and the length of the rectangle is 3 yd less than twice the width. find the dimensions of the rectangle.
General
2 months ago
HELP Use the properties of sigma notation and the summation formulas to evaluate. See attached
General
2 months ago
The probability of contamination in batch 1 of a drug (event A) is 0.16, and the probability of contamination in batch 2 of the drug (event B) is 0.09. The probability of contamination in batch 2, given that there was a contamination in batch 1, is 0.12. Given this information, which statement is true? Events A and B are independent because P(B|A) = P(A). Events A and B are independent because P(A|B) ≠ P(A). Events A and B are not independent because P(B|A) ≠ P(B). Events A and B are not independent because P(A|B) = P(A). NextReset
General
2 months ago
A state park has two pools. The olympic size pool holds 8.12 x 105 gallons of water and the smaller pool holds 5.27 x 105 gallons of water. What is the combined capacity of the pools?
General
2 months ago
1. The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75 at the fair. Jermaine spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets. (a) Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission. (b) Define your variables.
General
2 months ago
Bob is hiking down a 60-mile country trail. He could hike at 10 mph for the first two hours and then go the rest of the way at 30 mph or he could just go the whole way at 20 mph. How long would each of these options take? Which option is the faster?
General
2 months ago
1. Which procedure could be used to graph the line represented by the following equation? Y=1/2x+3A. Plot the x-intercept (3,0) and use the slope of 1/2 to find a second point.B. Plot the Y-intercept (0,3) and use the slope of 1/2 to find a second pointC. Plot the X-intercept (1/2,0) and use the slope of 3 to find a second point.D. Plot the Y-intercept (0,1/2) and use the slope of 3 to find a second point
General
2 months ago
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