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Let V = R2. Suppose in V vector addition is defined by x+y=(α1x1 +β1y1,α2x2 +β2y2)
for all x = (x1, x2), y = (y1, y2) ∈ V , α1, α2, β1, β2 some fixed real numbers, and scalar multiplication is the usual scalar multiplication. What values of α1 , α2 , β1 , β2 make V a vector space (over R).
If a baseball player's batting average is 32 %, find the probability that the player will get atmost 26 hits at 100 times at bat.
You're at a school fair where one of the games is "Spin the Wheel". Players spin a giant wheel with numbers 1-40. Look at each of the criteria and express the answers as a decimal, fraction and a percentage.
Rework problem 11 from section 1.3 of your text, involving high school students. Assume that 26 take mathematics, 26 take psychology, and 13 take mathematics and psychology.
Two trains leave stations 408 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour while the other travels at 75 miles per hour. How long will it take for the two trains to meet.
two cars leave a city and head in the same direction. after 7 hours, the faster car is 35 miles ahead of the slower car. the slower car has traveled 329 miles. what is the speed of the two cars?
The tangent line equation
Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground. Express your answer correct to the nearest tenth of a meter.
By reading values from the given graph of f, use five rectangles to find a lower estimate and an upper estimate for the area under the given graph of f from x = 0 to x = 40.
Finding the centroid of the area bounded by the x- axis and a parabola - Determine the centroid of the area bounded by the parabola
find the dimensions of the poster with the smallest area. Note: The answer to this problem requires that you enter the correct units.
Find the equation of a line perpendicular to the line: x = 4 ,and passing through the point: (4,2). Draw a graph of the following linear function and give the domain and range:
Find the standardized test statistic t for a sample with n = 12, = 17.4, s = 2.1, and if Round your answer to three decimal places.
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