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Solve the system of equations by finding the reduced row echelon form of the augmented matrix. Write the solutions for x and y in terms of z comma where z can be any number. StartLayout left-brace 1st Row 1st Column 3 x plus y plus 4 z 2nd Column equals 3rd Column -3 2nd Row 1st Column negative x plus y plus 4 z 2nd Column equals 3rd Column 17 EndLayout
General
2 months ago
Delta Flights: According to the Bureau of Transportation Statistics, 77.4% of Delta Airline’s flights arrived on time in 2010. The company is trying to improve on-time arrivals. They test the hypotheses H 0: p = 0.774 versus H a: p > 0.774. They calculate a P‐value of 0.03. Using a significance level of 0.05, which of the following is the best explanation for how to use the P‐value to reach a conclusion in this case? Group of answer choices Since the P‐value is less than the significance level, we reject the null hypothesis. Since the P‐value is less than the significance level, we fail to reject the null hypothesis. Since the P‐value is less than the significance level, we accept the null hypothesis.
General
2 months ago
A motorist is driving eastbound at the posted maximum speed along a stretch of University Parkway in Baltimore. The probability that the motorist approaching a red light at the San Martin/39th St intersection is 0.4. The probability that the motorist encounters a red light again at the next intersection (Canterbury Rd) is 0.7. If the motorist does not encounter a red light at the first intersection (San Martin/39th), then the probability the motorist encounters a red light at the second intersection is 0.2. If in a certain instance the motorist is observed to have encountered a red light at the Canterbury Rd intersection, what is the probability the motorist encountered a red light at the San Martin/39th intersection
General
2 months ago
PLEASE HELP 25 POINTS!!!Rose's Botanical Garden produced flowers throughout the year. A graph demonstrating how many flowers she produced over a 10-month period is shown:What can be interpreted from the domain of this graph?A. The domain represents the total number of flowers produced each month.B. The domain represents the total number of flowers produced in 10 months.C. The domain represents a 120-month period of flower production.D. The domain represents a 10-month period of flower production.
General
2 months ago
A pack of confectioneries contains candies in four (4) flavors (berry, lemon, orange and cacao), 3 pieces each. Candies are distributed randomly in the pack. You draw the first three (3) pieces from the pack. What is the probability that they are all different flavors?
General
2 months ago
Ask Your Teacher Oil spills from a tanker in the Gulf of Mexico and surfaces continuously at coordinates (x, y) = (0, 0). If oil spreads in a circular pattern for eleven hours and the circle's radius increases at a rate of 3 inches per hour, write an equation of the circle that models the range of the spill's effect.
General
2 months ago
How many liters of water should be added to 18 liters of a 14% bleach solution so that the resulting solution contains only 10% bleach?
General
2 months ago
If a function f ( x ) has values f ( 4 ) = 6 and f ( 8 ) = 18, use what you have learned about function patterns to find f ( 16 ) = if f ( x ) is: a.) Linear function: f ( 16 ) = b.) Power function: f ( 16 ) = c.) Exponential function: f ( 16 ) = d.) Logarithmic function: f ( 16 ) =
General
2 months ago
Tacoma's population in 2000 was about 200 thousand, and had been growing by about 9% each year. a. Write a recursive formula for the population of Tacoma b. Write an explicit formula for the population of Tacoma c. If this trend continues, what will Tacoma's population be in 2016? d. When does this model predict Tacoma’s population to exceed 400 thousand?
General
2 months ago
Some scientists believe that the average surface temperature of the world has been rising steadily. They have modeled the temperature by the linear function T = 0.01t + 8.5, where T is temperature in °C and t represents years since 1900. (a) What do the slope and T-intercept represent? The slope is , which means that the average surface temperature of the planet is at a rate of °C per year. The T-intercept is , which presents the average surface temperature in the year . (b) Use the equation to predict the average global surface temperature in 2050. °C
General
2 months ago
The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its position after t seconds is given by the following function, where x and y are measured in centimeters. x = sqrt(2 + t), y = 5 + 1/14 t The temperature function satisfies Tx(4, 6) = 8 and Ty(4, 6) = 4. How fast is the temperature rising on the bug's path after 14 seconds?
General
2 months ago
A new gas- and electric-powered hybrid car has recently hit the market. The distance traveled on 1 gallon of fuel is normally distributed with a mean of 65 miles and a standard deviation of 4 miles. Find the probability of the following events.a. The car travels more than 70 miles per gallon.b. The car travels less than 60 miles per gallon.c. The car travels between 55 and 70 miles per gallon.
General
2 months ago
The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state. Current estimates are that 35% of visitors are campers. How many visitors would you sample to estimate the population proportion of campers with a 95% confidence level and an allowable error of 2%?
General
2 months ago
What is the solution to this equation x - 14 = -9
General
2 months ago
What value of b will cause the system to have an infinite number of solutions?y = 6x + b-3x+ 1/2 y = -3
General
2 months ago
The Dolphin Daily charges by word to run an ad in their paper. The newspaper charges $5 for the first 20 words and $0.25 for each additional word. Evenson wants to run a 31 word ad. How much will this cost him?
General
2 months ago
A group of three friends were eating a pizza. Shawn at 1/4 of the pizza, Molly ate 1/8 of the pizza, and Tess ate 1/2 of the pizza. How much of the pizza was left? 7/8 11/14 3/14 1/8 PLZ HELP PLZ PLZ PLZ PLZ DO FOR BABY DUCKS
General
2 months ago
The estimated total cost, y, of a child's toy is partially based on the number of batteries used,The toy itself costs $12. Which equation represents the situation?The cost of one battery is $0.75.y = 12x +0.75y = 0.75x + 12y = 12x - 0.75y = 0.75x - 12
General
2 months ago
A driver completed the first 20 miles of a 40-mile trip at an average speed of 50 miles per hour. At what average speed must the driver complete the remaining 20 miles to achieve an average speed of 60 miles per hour for the entire 40-mile trip? (Assume that the driver did not make any stops during the 40-mile trip.)A. 65 mphB. 68 mphC. 70 mphD. 75 mphE. 80 mph
General
2 months ago
A technical magazine stated that the mean retail cost of all models of a particular laptop was $600. A random sample of 10 stores that sell that laptop in Los Angeles found it sold with a mean cost of $586.50 and a standard deviation of $26.77. Does this indicate that the mean cost of that laptop in Los Angeles is less than $600?
General
2 months ago
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