Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (5, 2), thus
y = a(x - 5)² + 2
To find a substitute (4, - 3) into the equation
- 3 = a + 2 ⇒ a = - 3 - 2 = - 5
y = - 5(x - 5)² + 2 ← in vertex form
Expand (x - 5)² and distribute by - 5
y = - 5(x² - 10x + 25) + 2
= - 5x² + 50x - 125 + 2
= - 5x² + 50x - 123 ← in standard form
Answer:
0.01024
Step-by-step explanation:
Assume marking was done at random : Hence, each of the 5 time slots have equal Chamves of being marked ;
Number of time slots, n = 5
Required to mark, number of preferred timeslot x = 2
P(x) = 2 /5 = 0.4
Probability of 0.4 that an interviewee gets one of his preferred timeslot.
Probability that each of the 5 interviewees gets one of their preferred time slots :
Using the multiplication rule of independence :
0.4 * 0.4 * 0.4 * 0.4 * 0.4 = 0.4^5 = 0.01024
0.01024 * 100% = 1.024%
Using the definition of vertical angles you can set up the equation 3x+4=115, when solved you get x=37. Hope this helps!
Answer:
0.4
Step-by-step explanation:
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