Answer:
2
Step-by-step explanation:
8% is the same thing as multiplying something by 0.08.
25 x 0.08 = 2
Hope this helps :)
Answer:
1 and 4 are correct. 2 and 3 are not.
Step-by-step explanation:
1.
When x = 0 where does the horse start?
y = 1.5*sin(0 + 0.5)*2*pi + 1.5
y = 1.5*sin(0.5*2pi) + 1.5
y = 1.5*sin(pi) + 1.5 But sin pi = 0
y = 0 + 1.5 So the horse is starting at the midpoint of it's travel.
2.
This one is a trick question. You can reason it without exact answers. At some point the sin(x + 0.5)*2pi will equal 1. When it does 1.5 * 1 + 1.5 = 3.0 At some other point sin(x + 0.5)*2pi = -1. When that happens the whole thing goes to 0. So the total of the distance traveled is 6 not three.
3.
You can figure this one out by letting x = 0.01 When it does then the value of the function is
y = 1.5*sin [(0.01 + 0.5)*2pi] + 1.5
y = 1.5*sin(0.51*2*pi) + 1.5
y = 1.5*sin(3.204424) + 1.5
y = 1.5*(- .0623) + 1.5
y = -0.9418 + 1.5
y = 1.4058 so it is going downward The value is getting smaller.
4.
The horse starts out in the middle of the pole. What does x need to equal so that x + 0.5 = 1 ? And why 1. The answer to why 1 is that then the sine function will equal sin(2*pi)
That happens when x = 0.5 which is 1/2 a minute. If it takes 1/2 a minute to execute 1 complete cycle, then in 5 minutes the cycle will be executed 10 times. This one is correct.
Answer:
b) 0.0007
c) 0.4163
d) 0.2375
Step-by-step explanation:
We are given the following:
We treat securities lose value as a success.
P(Security lose value) = 70% = 0.7
Then the securities lose value follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 20.
a) Assumptions
- There are 20 independent trials.
- Each trial have two possible outcome: security loose value or security does not lose value.
- The probability for success of each trial is same, p = 0.7
b) P(all 20 securities lose value)
We have to evaluate:
0.0007 is the probability that all 20 securities lose value.
c) P(at least 15 of them lose value.)
d) P(less than 5 of them gain value.)
P(gain value) = 1 - 0.7 = 0.3
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