Equation of a parabola is written in the form of f(x)=ax²+bx+c.
The equation passes through points (4,0), (1.2,0) and (0,12), therefore;
replacing the points in the equation y = ax² +bx+c
we get 0 = a(4)²+b(4) +c for (4,0)
0 = a (1.2)²+ b(1.2) +c for (1.2,0)
12 = a(0)² +b(0) +c for (0,12)
simplifying the equations we get
16a + 4b + c = 0
1.44a +1.2b + c = 0
+c = 12
thus the first two equations will be
16a + 4b = -12
1.44 a + 1.2b = -12 solving simultaneously
the value of a = 5/2 and b =-13
Thus, the equation of the parabola will be given by;
y= 5/2x² - 13x + 12 or y = 2.5x² - 13x + 12
Answer:
<em>99% of confidence intervals for mean age of ICU patients</em>
<em>(53.8920 , 61.2079)</em>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
<em>Given sample mean </em>
<em></em>
Given standard error is determined by
S.E =
<em>Given data standard error = 1.42</em>
<em>99% of confidence intervals for mean is determined by</em>
(53.8920 , 61.2079)
<u><em>Conclusion</em></u>:-
<em>99% of confidence intervals for mean is determined by</em>
<em>(53.8920 , 61.2079)</em>
(3) y= 5x+ 13
you have to do the rise (ryse - with a y because it is the y value) over the run to get your slope and then subtract your slope from 18 to get 13.
Distance = Average speed * Time = 48*10 = 480 miles
So, they drove for 480 miles
First calculate the distance covered going down:
d_down = (16 m / s) * 8 s = 128 m
Then the distance going up is:
d_up = 71 m
So the distance from the ledge to the nest is:
d = 128 m – 71 m = 57 m
Therefore the elevation is:
<span>elevation = 1364 m + 57 m = 1421 m</span>
