Answer:
0.30
Step-by-step explanation:
Probability of stopping at first signal = 0.36 ;
P(stop 1) = P(x) = 0.36
Probability of stopping at second signal = 0.54;
P(stop 2) = P(y) = 0.54
Probability of stopping at atleast one of the two signals:
P(x U y) = 0.6
Stopping at both signals :
P(xny) = p(x) + p(y) - p(xUy)
P(xny) = 0.36 + 0.54 - 0.6
P(xny) = 0.3
Stopping at x but not y
P(x n y') = P(x) - P(xny) = 0.36 - 0.3 = 0.06
Stopping at y but not x
P(y n x') = P(y) - P(xny) = 0.54 - 0.3 = 0.24
Probability of stopping at exactly 1 signal :
P(x n y') or P(y n x') = 0.06 + 0.24 = 0.30
Answer:
It's D.
Step-by-step explanation:
The graph of tan x passes through (0,0) whereas this graph passes through the point (pi/4 , 0) so it a horizontal translation to the right. We see that the period is 6 units along the x axis which is 6 * pi/4 = 3 pi/2.
Step-by-step explanation:
The expression in company B represents that is is in arithmetic progression where first term is 42000 and common difference is 1800 . So we have to use the formula of sum of n terms which is
Where a is the first term, n is the nth term, d is the common difference
On substituting there values,we will get
= 15(84000+52200) = 15*136200 =2043000
And for company A, it is
Difference between them =2043000-2002500= 40500
So the correct option is the second option .
Answer: sally initially has $240, Tom initially has $180.
Step-by-step explanation:
Let initial amount of money sally has = x
Then, initial amount tom has = 75% * x = 0.75x
Now to present,
Amount sally has = x -120
Amount tom has = [x - 120] + [50% * (x-120)]
= x - 120 + 0.5x - 180
= 1.5x - 180
Since Tom didn't spend, it means this is the same amount tom has then we equate both equations.
0.75x = 1.5x - 180
180 = 0.75x
x = 240
Therefore, initial money of sally of sally = $240
Initial money of tom = 240 * 0.75 = $180.
