Find these values.
a) ⌈ 3/4⌉
b) ⌊ 7/8⌋
c) ⌈−3/4⌉
d) ⌊−7/8⌋
e) ⌈3⌉
f ) ⌊−1⌋
g) ⌊ 1/2 + ⌈ 3/2⌉ ⌋
h) ⌊ 1/2 ⋅ ⌊ 5/2⌋ ⌋
Find the general solution of the DE 3y( x2 - 1) dx (x3 8y – 3x) dy = 0
A study claims tha.t on average, male high school students spend at least 3.39 hours a day playing video games with a standard deviation of 2.05 hours. A random sample of 30 teenagers were surveyed and the results showed that these teenagers spend 4.12 hours a day playing video games.
Solve for the z-score of the sample mean of 4.12 hours
find the values for x, y, and z such the matrix below is skew symmetric.
0 x 3
2 y -1
z 1 0
Describe the Hasse Diagram for the divisibility of the set A = {1, 2, 3, 5, 6 10, 15, 30}The diameter of steel rods manufactured on two different extrusion machines are
being investigated. Two random samples of sizes "n_1" = 15 and "n_2" = 17 are selected,
and the sample means and sample variances are x̅1 = 8.73, "s_1^2" = 0.35, x̅2 =8.68, and "s_2^2" = 0.40, respectively. Assume that "\\sigma_1^2=\\sigma_2^2"
and that data are drawn from
a normal distribution. (a) Is there evidence to support the claim that the two
machines produce rods with different mean diameters? Use α = 0.05 in arriving at
this conclusion. (b) Find the P-value for the t-statistic you calculated in part (a).
[taken from Montgomery, p. 347]
Which of the expression below is the product of (x + 2y) and (2x - 3y)?
Describe the Hasse diagram for the divisibility of the set A={1,2,3,5,6,10,15,30}
Solve using basic differentiation rule
y = 2/(x ^ (1/2)) + 6/(x ^ (1/3)) - 2/(x ^ (3/2)) + 4/(x ^ (3/4))
Solve using differentiation rule
y = 2x ^ 2 * sqrt(2 - x)