Answer:
(a) 0.12 (b) 0.32 (c) 0.56
Step-by-step explanation:
The sample outcomes are Funded or Unfunded. Total sample space is given by:
2²= 4
Fund = F
Unfunded = U
P (F) ist panel = 0.2
P (U) ist panel = 0.8
P (F) 2nd panel = 0.6
P (U) 2nd panel = 0.4
TOTAL SAMPLE SPACE
Ist Panel Second Panel
F F
F U
U F
U U
(a) Probability of both panel approval = P (FF)
= 0.2 x 0.6
= 0.12
(b) Probability of approval disapproved by both panels = P (UU)
= 0.8 x 0.4
= 0.32
(c) Probability of a worthy disapproval by one panel = P(FU) + P(UF)
= (0.2 x 0.4) +(0.8 x 0.6)
= 0.08 + 0.48
= 0.56
Answer:
cos(u) and sin(u) can be expanded in with a Maclaurin series, and cos(c) and sin(c) are constants.
Step-by-step explanation:
thats it
Answer:
WRS=25 degree
Step-by-step explanation:
Angle VRT + angle TRS = 180 degree (supplementary angles)
5x+25x+30=180
5x+25x=180-30
30x=150
x=150/30=5
Substituting x=5 into angle VRT
5(5)=25
VRT= 25 degree
Looking at the diagram, angle VRT and angle WRS are vertically opposite angle and are therefore equal.
Now, angle WRS= 25 degree
<u>Answer</u>
<em>The total displacement of the object is 320 m</em>
<u>Solution-</u>
From the formulas of mechanics,
Where,
s = displacement
u = initial velocity = 0 ( ∵ As the body was in rest in the beginning )
t = time taken = 8 s
a = acceleration = -10 m/s² ( ∵ -ve is because of the downward motion)
Putting all the values,
( ∵ -ve displacement means it is in downwards)
Answer:
A. 
Step-by-step explanation:
We have been given a table that represents the altitude of an airplane with passing minutes.
Since we know that equation of a line in slope-intercept form is: 
, where, m = Slope of the line and b = y-intercept.
To find the equation of line we will have to the slope of our given line using values from table.
, where,
= Change in two y-coordinates.
= Change in the corresponding x-coordinates.
Upon substituting the coordinates of point (1, 35000) and (2, 31000) we will get our slope as:
Now let us find y-intercept of our given line by substituting m=-4000 and the coordinates of point (1, 35000) in slope intercept form of equation.
Upon substituting the value of slope and y-intercept the equation of line will be:
Therefore, the equation representing the change in altitude a after m minutes is and option A is the correct choice.
