Here is your answer:
30% of 50=45
Your answer is 45 because...
150/x=100/30
(150/x)*x=(100/30)*x
150=3.33333333333*x
(3.33333333333) to get x
150/3.33333333333=x
45=x
x=45
Your answer is...
x=45
Answer:
a) 
b) 
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:
And let
represent the sample mean, the distribution for the sample mean is given by:
(a) What are the mean and standard deviation of the sampling distribution?

On this case 
(b) What is the approximate probability that x will be within 0.4 of the population mean μ? (Round your answer to four decimal places.) P =
So for this case we want this probability:

And for this case we can use the z score given by this formula:

And using this concept we got this:


Answer:

Step-by-step explanation:
we know that
DGH ~ DEF ---> given problem
Remember that
If two triangles are similar, then the rtio of its corresponding sides is proportional and its corresponding angles are congruent
so

substitute the given values


look at the hundreds place, if it is 5oo or greater than you round up, if it is less than 5 you round down
in 39,176, the hundreds place is one hundred, which is less than 5, so round it to 39,000