Answer:-8
Step-by-step explanation:
8+4a=3a
8=3a-4a
8=-a
a=-8
Answer:
y = -3x + 7
Step-by-step explanation:
Using the equation of line
y = mx + C
y - y_1 = m(x - x_1)
First find the slope
With eqn y = 1/3x - 3
Note, if two lines are perpendicular, their slope will be negative reciprocal
slope = m = -3/1
Using y - y_1 = m(x - x_1)
With point ( 3, -2)
x_1 = 3
y_1 = -2
y - (-2) = -3/1(x - 3)
y + 2 = -3/1(x -3)
Open bracket
y + 2 = -3(x - 3)/1
y + 2 = (-3x +9)/1
y = (-3x + 9 )/1 - 2
LCM is 1
y = -3x + 9 - 2
y = -3x + 7
The equation of the line is
y = -3x + 7
From the question, we know the population standard deviation, σ = 1.63, the sample standard deviation, s = 3.07, the sample mean,
and the sample size, n = 38.
The question illustrates a hypothesis chi-square test of variance.
The test statistics for a Chi-squared test of variance is given by
The discriminant of a quadratic equation determines the nature of the roots of the equation whether they are rel or imaginary. The formula for determining the discriminant is
d = b2 - 4acd = 36 - 4*3*3 = 0This means there is only one real number root.
Given the equation in 2, it can be projected that for every y, there are two x's (negative and positive) equivalent. The vertex would lie below the x-axis. Answer is B
