The correct answer is false. The symmetry of a hyperbola with a center at (h, k) do not occurs only at y = k and x = h. The axis of symmetry occurs through each focus making right angles to the directrix. The axis of symmetry is a line that divides a graph or something into two congruent figures.
Answer:
3.5 cm
Step-by-step explanation:
Given the question:
A circular arc has measure 8 cm and is intercepted by a central angle of 2.3 radians. Find the radius of the circle. Do not round any intermediate computations, and round your answer to the nearest tenth.
Central angle in radian (θ) = 2.3 radian
Length of arc (s) = 8cm
Recall:
Length of arc (s) = radius (r) × central angle (θ)
8cm = radius × 2.3 rad
radius = 8 / 2.3
Radius = 3.478 cm
Radius = 3.5 cm
Answer:
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Step-by-step explanation:
Since it's a sample size, we use x, as the mean and s= standard deviation
_
Given: x =27, s = 2 and total sample = 32.
Probability that a recruit is at least 31 years old?
Let's calculate the Z score :
_
X - x 31 - 27
Z = ----------- → Z = -------- → Z = 2 (now look up in the Z score table,
s 2
Area (Z=2) =0.9772 , but Z ≥ 2 (at least) , then :
Area (Z≥2) = Area (Z≤ - 2) = 0.0228
P(≥31)= 0.0228