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Determine whether the function is a linear transformation. T: P2 → P2, T(a0 + a1x + a2x2) = (a0 + a1 + a2) + (a1 + a2)x + a2x2.
General
4 months ago
Use Lagrange multipliers to find the maximum and minimum values of f(x, y, z) = x − 2y + 5z on the sphere x 2 + y 2 + z 2 = 30.
General
4 months ago
Parallelogram R S T U is shown. Diagonals are drawn from point R to point T and from point U to point S and intersect at point V. The length of line segment U V is (x minus 3) meters and the length of line segment V S is (3 x minus 13) meters. Quadrilateral RSTU is a parallelogram. What must be the value of x? 2 4 5 10
General
4 months ago
According to the Texas Department of State Health Services, there are approximately 17.7 million adults (age 18+) living in Texas, of which 1.45 million have diabetes. In 2010, 366,921 adult Texans were diagnosed with diabetes for the first time.What is the incidence of diabetes in Texas? Express your answer in units of per 1000 persons per year
General
4 months ago
Pedro thinks that he has a special relationship with the number 3. In particular, Pedro thinks that he would roll a 3 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Pedro will roll a 3.(a) State the null and alternative hypotheses for testing Pedro's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "<", ">", "=", "not =" and express any values as a fraction e.g. p = 1/3)H0 = _______Ha = _______(b) Now suppose Pedro makes n = 30 rolls, and a 3 comes up 6 times out of the 30 rolls. Determine the P-value of the test:P-value =________
General
4 months ago
A journal article reports that a sample of size 5 was used as a basis for calculating a 95% CI for the true average natural frequency (Hz) of delaminated beams of a certain type. The resulting interval was (230.061, 233.807). You decide that a confidence level of 99% is more appropriate than the 95% level used. What are the limits of the 99% interval?
General
4 months ago
A fitted multiple regression equation is Y = 28 + 5X1 - 4X2 + 7X3 + 2X4. When X1 increases 2 units and X2 increases 2 units as well, while X3 and X4 remain unchanged, what change would you expect in your estimate of Y? A. Increase by 2 B. Decrease by 4 C. Increase by 4 D. No change in Y
General
4 months ago
what is the probability that a randomly-selected driver fatality who was female was less than 16 years old the probability that a randomly-selected driver fatality who was female was less than 16 years old is approximately _____.
General
4 months ago
A study found that the average stopping distance of a school bus traveling 50 mph was 264 feet. a group of automotive engineers decided to conduct a study of its school buses and found that for 40 buses, the average stopping distance of buses traveling 50 mph was 262.3 feet. the standard deviation of the population was 3.0 feet. test the claim that the average stopping distance of this company's buses is actually less than 264 feet. perform an appropriate hypothesis test. be sure to clearly define your parameter, check your conditions, and list all four steps of the test.
General
4 months ago
Consider the sequence: 8, 11, 14, 17, 20, 23, 26, ..... Write a recursive definition: Group of answer choices LaTeX: a_n=2\cdot a_{n-1}-5 a n = 2 ⋅ a n − 1 − 5 LaTeX: a_n=3\cdot a_{n-1} a n = 3 ⋅ a n − 1 LaTeX: a_n=3+a_{n-1} a n = 3 + a n − 1 LaTeX: a_n=8+3\cdot a_{n-1}
General
4 months ago
A bike rental company rented out 6 bikes in its first month. The number of bikes it rented tripled each month.What was the total number of bikes the company rented out for the first 6 months?
General
4 months ago
A) Inverse Property of MultiplicationB) Commutative Property of AdditionC) Commutative Property of MultiplicationD) Associative Property of Addition
General
4 months ago
which equation can be solved to find x, the measure of BD in the diagram below?
General
4 months ago
The game of european roulette involves spinning a wheel with 37 slots: 18 red, 18 black, and 1 green. a ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. gamblers can place bets on red or black. if the ball lands on their color, they double their money. if it lands on another color, they lose their money.
General
4 months ago
The mean finish time for a yearly amateur auto race was 185.19185.19 minutes with a standard deviation of 0.3410.341 minute. the winning car, driven by rogerroger, finished in 184.14184.14 minutes. the previous year's race had a mean finishing time of 110.4110.4 with a standard deviation of 0.1370.137 minute. the winning car that year, driven by sallysally, finished in 110.05110.05 minutes. find their respective z-scores. who had the more convincing victory? rogerroger had a finish time with a z-score of nothing. sallysally had a finish time with a z-score of nothing. (round to two decimal places as needed.)
General
4 months ago
The tax rate on Jerome James 112000 vacation home is 25 Mills the property is assessed at full value how much will Jerome pay in taxes this year
General
4 months ago
Hey guys! I’m really stuck on this problem! I don’t know if I got it right or not! If I’m wrong, could you work it out and explain! Thank you so much! God Bless!
General
4 months ago
30 POINTS!!! WILL MARK BRAINLIEST! : )1. Name the property the equation illustrates. 8 x 1/8 = 1A) Multiplication Property of –1B) Inverse Property of AdditionC) Inverse Property of MultiplicationD) Identity Property of Division2. Name the property the equation illustrates. –5 + (8 + 10) = (–5 + 8) + 10A) Multiplication Property of –1B) Inverse Property of AdditionC) Inverse Property of MultiplicationD) Identity Property of Division3. Name the property the equation illustrates. -4 x -1/4 = 1A) Multiplication Property of –1B) Inverse Property of AdditionC) Inverse Property of MultiplicationD) Identity Property of Division4. Name the property the equation illustrates. (ab)3 = a(b3)A) Multiplication Property of –1B) Inverse Property of AdditionC) Inverse Property of MultiplicationD) Identity Property of Division
General
4 months ago
The base of a ladder is 25 meters due west of a burning building. If the angle of elevation of the ladder is 51°, how long is the ladder (round to the nearest meter)? A)33 meters B) 34 meters C) 39 metersD) 40 meters
General
4 months ago
David drops a ball from a bridge at an initial height of 100 meters. 1. What is the height of the ball to the nearest tenth of a meter exactly 3 seconds after he releases the ball? 2. How many seconds after the ball is released will it hit the ground? I have 3 questions, and I answered the first two just fine, but this kind of stuff my brain just can't get. So if you could explain it with your answer, that would be amazing. This has to be solved using h(t)= 1/2gt^2+v0t+h0I know that the v0 is 0, because there's no force given, and that g is -9.8 m/s^2 because it's meters being used, and I'm pretty sure h0 is 100, I just don't know how to put it all together, or where the 3 seconds after he releases the ball is supposed to go. Thanks for any help, and whoever answers correctly, I have either 10 or 15 points for you! (I think I might have pressed 15 but it could have also been 10 and it won't let me go back and look)
General
4 months ago
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