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what is the distance between point (-3, 1) and point (4, 2) rounded to the nearest tenth? 8 units
General
2 months ago
Solve the equation 5x + (−2) = 6x + 4 using the algebra tiles.What tiles need to be added to both sides to remove the smaller x-coefficient?What tiles need to be added to both sides to remove the constant from the right side of the equation?What is the solution?
General
2 months ago
The diameter of a white blood cell under magnification appears to be 0.3 centimeters. What is the diameter of the white blood cell in millimeters?(A microscope has a scale of 250:1)____millimeters
General
2 months ago
A business man is flying from San Francisco to New York with a connection in Chicago. He is concerned about having his luggage arriving safely in New York, but this will depend on whether or not his flight from San Francisco leaves on time. Using past flight information, he estimates the probability that the flight leaves on time is 0.15. If the flight leaves on time, the probability his luggage arrives safely is 0.95, but if the flight does not leave on time the probability his luggage arrived safely is only 0.65.a. What is the probability that his luggage arrives safely in New York?b. When the businessman arrived in New York, his luggage was not there. What is the probability his flight from San Frcisco left on time?
General
2 months ago
The mean number of daily surgeries at a local hospital is 6.2. Assume that surgeries are random, independent events. (a) The count of daily surgeries follows approximately: A Poisson distribution with mean 6.2 and standard deviation 2.49. A binomial distribution with mean 6.2 and standard deviation 3.8. A binomial distribution with mean 6.2 and standard deviation 1.76. A Poisson distribution with mean 6.2 and standard deviation 6.2. A binomial distribution with mean 6.2 and standard deviation 3.1. (b) The probability that there would be only 2 or fewer surgeries in a given day is approximately (round to 4 decimal places):
General
2 months ago
How much time will Alex need to walk to his school, which is 214miles away from his house, if he would walk with the speed of …Chapter Reference 3 3/4 mph
General
2 months ago
Lloyd’s Cereal company packages cereal in 1 pound boxes (16 ounces). A sample of 40 boxes is selected at random from the production line every hour, and if the average weight is less than 15 ounces, the machine is adjusted to increase the amount of cereal dispensed. If the mean for 1 hour is 1 pound and the σ = 0.1 pound, what is the probability that the amount dispensed per box will have to be increased?
General
2 months ago
The Campbell’s Soup Company has just purchased an automated filling machine to fill bottles with its V8 tomato juice. The machine will fill bottles according to a normally distributed process, with a mean of 47 fluid ounces and a standard deviation of 0.4 fluid ounces. (a) Upon installation of the machine, a technician decides to test whether the machine is working properly. He takes a sample of 50 bottles and determines the fill level of the bottles. In looking at the data, he decides that the filling process variability can be represented as normally distributed with a standard deviation of 0.4 fluid ounces. He finds that the sample mean is 46.9 fluid ounces. What should he deduce concerning whether the mean is indeed 47 fluid ounces, given a two-sided hypothesis test and a significance level of .05?
General
2 months ago
A new cinema is under construction and the total number of the seats is to be determined.Assume that in this area, 1600 people will go to cinema everyday and for the probability for each person to choose this cinema is 3/4. The Following are the requirements for determining the seat quantity q:1) q is as large as possible2) The probability of "there are over 200 empty seats in one day" is no more than 0.1Hint: Central Limit Theorem
General
2 months ago
Meg's pension plan is an annuity with a guaranteed return of 7% per year (compounded quarterly). She would like to retire with a pension of $10,000 per quarter for 10 years. If she works 26 years before retiring, how much money must she and her employer deposit each quarter? HINT [See Example 5.] (Round your answer to the nearest cent.)
General
2 months ago
What is the y-coordinate of the point that divides thedirected line segment from J to k into a ratio of 5:1?75(7,2)++++y =(v2 - y) + va1 2 3 4 5 6 7 8 9 10 11 xOO OOJ (1,-10)
General
2 months ago
String a is 35 centimeters long. String B is 5 times as long as string A. Both are necessary to create a decorative bottle. Find the total length of string needed for 17 identical decorative bottles. Express your answer I'm meters
General
2 months ago
What is the sum of the rational expressions below? x/2 + 7/9x
General
2 months ago
The force on the last car of a train with a mass of 4.5 kg is 8.0 N. What is the train's acceleration in ms2?Enter your answer as a decimal to the hundredths place, such as: 3.49
General
2 months ago
The cost of Bella's dinner is $24. She decides to leave a 15% tip. Which proportion could be used to determine the amount of the tip? What is the cost of the meal with the tip? A) x/24 = 15 100 ; $27.60 B) 24/x = 15 100 ; $27.60
General
2 months ago
Submarine a is position at -1100 feet in relation to sea level. Submarine be is position at -800 feet in relation to sea level. Each submarine needs to be 200 feet below sea level in 30 minutes. Which compares the speed at which each submarine needs to travel?
General
2 months ago
What is the quotient of the rational expression shown below? Make sure your answer is in reduced form. X^2+7X+10/X-2÷X^-25/4X-8
General
2 months ago
At the movie theater, child admission is $5.50 and adult admission is $8.60. On Saturday, 137 tickets were sold for a total sale of $986.00. How many child tickets were sold that day?
General
2 months ago
If fixed costs are 100, and variable costs are at 5 per unit, find the total cost when Q=10.
General
2 months ago
Which relationship exists between the two angles? What is the value of x? Find the measure of each angle. A) vertical angles; x = 3; 76 degrees; 76 degrees B) alternate exterior angles; x = 5; 116 degrees; 64 degrees C) corresponding angles: x = 7; 156 degrees; 156 degrees D) alternate exterior angles; x = 5; 116 degrees; 116 degrees Eliminate
General
2 months ago
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