Answer:
a) 4.8
b) 2.96
c) 4.4
d) 1.44
e) 3.76
Step-by-step explanation:
What we will do is solve point by point, knowing the following:
Fx (x) = P (X <= x) = (x - 1) / 4
a) P (X <-a) = 0.95
Fx (a) = 0.95
(a -1) / 4 = 0.95
a = 1 + 0.95 * 4
a = 4.8
b) P (X <a) = 0.49
Fx (a) = 0.49
(a -1) / 4 = 0.49
a = 1 + 0.49 * 4
a = 2.96
c) P (X <a) = 0.85
Fx (a) = 0.85
(a -1) / 4 = 0.55
a = 1 + 0.85 * 4
a = 4.4
d) P (X> a) = 0.89
P (X <a) = 1 - 0.89 = 0.11
Fx (a) = 0.11
(a -1) / 4 = 0.11
a = 1 + 0.11 * 4
a = 1.44
e) P (X> a) = 0.31
P (X <a) = 1 - 0.31 = 0.69
Fx (a) = 0.69
(a -1) / 4 = 0.69
a = 1 + 0.69 * 4
a = 3.76
Answer:
<em>The vertical distance in feet that the plane traveled was 4 Km</em>
Step-by-step explanation:
<u>The Slope of a Line
</u>
Suppose we know a line passes across points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
The airplane ascent will be modeled with the equation of a line because we are given a constant slope of m=2/3. We also know the horizontal distances are x1=1 Km and x2=7 Km. Substituting in the formula above:
Operating:
Solving for y2-y1, we get the vertical distance traveled by the plane:
Thus, the vertical distance in feet that the plane traveled was 4 Km
Answer:
Step-by-step explanation:
3 min 20 seconds = 3*60 + 20 = 180 +20 = 200 seconds
2 min 44 seconds = 2*60 + 44 = 120 + 44 = 164 seconds
Improvement = 200 - 164 = 36 seconds
Percentage =(36/200) *100
= 18 %
Answer:
x = - 10
Step-by-step explanation:
Given
10 - x = - 2x ( add 2x to both sides )
10 + x = 0 ( subtract 10 from both sides )
x = - 10
The second one
Hope this helps :D