Answer:
Final answer is .
Step-by-step explanation:
Given that two 6-sided number cubes are rolled. Now we need to find about what is the possibility of rolling a sum of 8.
From the sample space, you can see that there are total 36 possible outcomes.
out of those outcomes, there are only 5 outcomes that has sum = 8
which are {(2,6), (3,5), (4,4), (5,3), (6,2)}.
Hence probability of rolling a sum of 8 .
Hence final answer is .
so you read 12 + 13 = 25 books in total, and 12 nonfiction ones.
if we take 25 to be the 100%, what is 12 off of it in percentage?
Answer:
X is equal to 6
Step-by-step explanation:
2 times 6 is 12
6 plus 2 is 8
Answer:
See the proof below
Step-by-step explanation:
Let's assume that our random variable of interest is Y and we have a set of parameters in the original network.
And let's assume that we add an additional parameter and we want to see if the likehood for
We don't know the distribution for each parameter but we can say that the likehood function for the original set of parameters is given by:
And in order to maximize this function we need to take partial derivates respect to each parameter like this:
We just need to set up the last derivate equal to zero and solve for the parameters who satisfy the condition.
If we add a new parameter the new likehood function would be given by:
And in order to maximize this function again we need to take partial derivates respect to each parameter like this:
We are ssuming that we have the same parameters from 1 to k for the new likehood function. So then the likehood for the data would be unchanged and if we have more info for the likehood function we are maximizing the function since we are adding new parameters in order to estimate the function.
Answer:
x≈6.4
Step-by-step explanation:
Exponential Functions:
y=ab^x
y=ab
x
a=\text{starting value = }24900
a=starting value = 24900
r=\text{rate = }6.75\% = 0.0675
r=rate = 6.75%=0.0675
\text{Exponential Decay:}
Exponential Decay:
b=1-r=1-0.0675=0.9325
b=1−r=1−0.0675=0.9325
\text{Write Exponential Function:}
Write Exponential Function:
y=24900(0.9325)^x
y=24900(0.9325)
x
Put it all together
\text{Plug in y-value:}
Plug in y-value:
15900=24900(0.9325)^x
15900=24900(0.9325)
x
\frac{15900}{24900}=\frac{24900(0.9325)^x}{24900}
24900
15900
=
24900
24900(0.9325)
x
Divide both sides by 24900
0.638554=0.9325^x
0.638554=0.9325
x
\log 0.638554=\log 0.9325^x
log0.638554=log0.9325
x
Take the log of both sides
\log 0.638554=x\log 0.9325
log0.638554=xlog0.9325
use power rule to bring x to the front
\frac{\log 0.638554}{\log 0.9325}=\frac{x\log 0.9325}{\log 0.9325}
log0.9325
log0.638554
=
log0.9325
xlog0.9325
Divide both sides by log(0.9325)
6.418279=x
6.418279=x