PLEASE HELP ASAP. I HAVE A VERY IMPORTANT TEST AND I NEED HELP
1 answer:
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Answer:
y = tan (1/2 x - π/2) ⇒ the answer is (b)
Step-by-step explanation:
* Lets talk about the tangent function
- The tangent has a period of π, with each period separated by
a vertical asymptote. The concept of "amplitude" doesn't
really exist because -∞ < y < ∞
- You can transform the graph for tangent
∵ y = A tan B(x + C) + D
* Where:
# A, changes amplitude. (A always = 1)
# B determines the period.
# C determines how the graph is shifted from left to right.
(horizontally)
# D determines how the graph is shifted up or down.(vertically)
∵ The basic function is y = tanФ has an amplitude of 1.
It has a period of π. It has no phase or vertical shifts,
because it is centered on the origin.
* Look to the problem
- From the graph:
- The period is 2π
∵ Period = π/B
∴ 2π = π/B ⇒ ÷ π
∴ 2 = 1/B
∴ B = 1/2
- the starting point of the function is at π instead of zero
∴ It moves π units to the right
∴ C = -π
∴ y = tan 1/2(x - π)
∴ y = tan (1/2 x - π/2)
* The function is ⇒ y = tan (1/2 x - π/2)
* The blue represents y = tanx
The red represents y = tan (1/2 x - π/2)
Answer:
d) 6.750
<em>The chi - square value = 6.750</em>
Step-by-step explanation:
Given data
Starting Position 1 2 3 4 5 6
Number of Wins (O) 33 44 32 36 45 50
<u><em>Step(i) :</em></u>-
mean =
Expected frequency = 40
Number of Wins (O) : 33 44 32 36 45 50
Expected frequency(E) : 40 40 40 40 40 40
(O - E ) : -7 4 -8 -4 5 10
(O-E)² : 49 16 64 16 25 100
: 1.225 0.4 1.6 0.4 0.625 2.5
<u><em>Step(ii):-</em></u>
<u><em>The χ² test</em></u>
<em> χ² = ∑ </em><em></em>
<em> χ² = 1.225 + 0.4 + 1.6 + 0.4 +0.625 +2.5 = 6.75</em>
<em>The chi - square value = 6.750</em>
<u><em>Final answer</em></u><em>:-</em>
<em>The chi - square value = 6.750</em>
<u><em> </em></u>
<u><em></em></u>