Answer:
$19,100
Step-by-step explanation:
The expected profit would be the probability of profit multiplied by the profit and the sum of probability of loss multiiplied by the loss.
So, we can say:
E(p) = P(p)*P + P(L)*L
Where
E(p) is expected profit
P(p) is probabilty of profit (0.7)
P is the profit (35,000)
P(L) is probability of loss (0.3)
L is the loss (-18,000)
Substituting these values, we get:
E(p) = P(p)*P + P(L)*L
E(p) = (0.7)(35,000) + (0.3)(-18,000)
E(p) = 19,100
The expected profit is $19,100
OK so we need to find the function v(t) which will tell us where the particle is at any given time.
We know that the derivative of distance is speed and the derivative of speed is acceleration.
In this case we need to work backwords and find the integrals.
a(t) = 13 sin(t) + 4 cos(t)
s(t)= integral of above = 13(-cos(t)) + 4(sin(t)) + C
v(t)= integral of above = -13sin(t) -4cos(t) +Ct + D
Now I believe you have incorrect initial conditions
s(0) = 0, s(2π) = 10
As cos and sin functions have the same value at 0 and 2Pi the above cannot be true.
My guess is that one is s(0) and the other is v(2Pi) or the other way round.
These initial conditions will determine the value of the two constants: C and D.
Hope this helps.
Answer:
1. (-2,2) 2.(1,2) 3. B&A
Step-by-step explanation:
Answer: (0.5496, 0.5754)
Step-by-step explanation:
The confidence interval for population proportion (p) is given by :-
, where 
= Sample proportion , n= sample size , z*= Critical z-value.
Let p be the proportion of all college students who are in favor of banning Hawaiian shirt.
Given, A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts.
i.e. n=4000
z-value for 90% confidence level is 1.645
Now , 90% confidence interval for p would be :
Hence, the required 90% interval = (0.5496, 0.5754)
Answer:
50%
Step-by-step explanation:
how ever many kids are in that class, divide it by 2 and that will be the amount of kids that do not prefer pepperoni (:
