Effective interest is computed using the formula below:
Effective interest = e^i-1
where
i = stated loan interest= 13%
substitute the given values and we will get
Effective interest = 13.88%
The effective interest of the 100-day note that Jay discounted is equal to 13.88%
In this situation,
n=50, p=1/20, q=(1-p)=19/20, and npq=19/8=2.4
We would like np and npq to be a large number, at least greater than 10.
The normal approximation can always be applied, but the result will be very approximate, depending on the values of np and npq.
Situations are favourable for the normal approximation when p is around 0.5, say between 0.3 and 0.7, and n>30.
"Normal approximation" is using normal probability distribution to approximate the binomial distribution, when n is large (greater than 70) or exceeds the capacity of most hand-held calculators. The binomial distribution can be used if the following conditions are met:
1. Bernoulli trials, i.e. exactly two possible outcomes.2. Number of trials is known before and constant throughout the experiment, i.e. independent of outcomes.3. All trials are independent of each other.4. Probability of success is known, and remain constant throughout trials.
If all criteria are satisfied, we can model with binomial distribution, where the probability of x successes out of N trials each with probability of success p is given byP(x)=C(N,x)(p^x)(1-p)^(N-x)and,C(N,x) is number of combinations of selecting x objects out of N.
The mean is np, and variance is npq.
For the given situation, np=2.5, npq=2.375, so standard deviation=sqrt(2.375)=1.54.
Answer:
a) 
b) 54
Step-by-step explanation:
a)
If one quantity, A, is jointly proportional to other 2 quantities (B & C), we can write proportionality equation as:
Where
k is the proportionality constant
Now, for this problem, P is jointly proportional to A and CUBE OF V, so we can write:
b)
Now velocity, V, is triples, which means it becomes 3V
Also, cross sectional area, A, is doubled, which means it becomes 2A
Let's put these into formula and see the difference:
So, power is multiplied by a factor of 54. Power becomes 54 times if Area is doubled and velocity is tripled ( as seen ).
5x + 10y = 800
y = 50
10y = 10*50 = 500
800 - 500 = 300
300/5 = 60
x = 60
5(60) + 10(50) = 800
60 small vehicles were washed in total
Answer:
The standard form of a circle is (x-h)^2 + (y-k)^2 = r^2 with (h,k) being the center of the circle and r being the radius. In this case the circle's equation in standard form is (x-2)^2 + (y+3)^2 = 18. Knowing this it's easy to see that the center of the circle (h,k) is (2,-3). Finally the radius is 
or in simplified terms, 3
Step-by-step explanation:
