Answer:
0.242
Step-by-step explanation:
p = 0.08, q = 1 − p = 0.92, and n = 1000.
The mean and standard deviation are:
μ = p = 0.08
σ = √(pq/n) = 0.00858
The z score is:
z = (x − μ) / σ = -0.70
Using a calculator or z score table, the probability is:
P(Z < -0.70) = 0.242
Answer:
Options (1), (2), (4) and (5) are correct.
Step-by-step explanation:
Characteristics of the given hyperbola,
1). Vertex of the given hyperbola are at (-3, 6) and (-3, 4).
2). Since center of a hyperbola is the center of a line joining vertices of the hyperbola,
Center of the given parabola will be,
⇒ (-3, 5)
3). Vertical line joining the foci of the hyperbola is the transverse axis.
4). A line perpendicular to the transverse axis and passing through the center will be the conjugate axis.
5). Directrices of a horizontal hyperbola are the horizontal lines.
Therefore, Options (1), (2), (4) and (5) are correct.
Answer:
lol
Step-by-step explanation:
Solve x by simplifying both sides of the equation, then isolating the variable.
Answer:
x= - 31/2
Hey there! :)
Answer:
y + 32 = 3(x + 8)
Step-by-step explanation:
Begin by finding the slope of the line using the slope formula:

Plug in the coordinates of the points into the equation:

Simplify:

m = 3.
Point-slope form is:
y-y₁=m(x-x₁)
Plug in the coordinates of the first point, as well as the slope:
y - (-32) = 3(x - (-8)
y + 32 = 3(x + 8)