Answer: You can see it does matter in what order you solve the equation. ... Just like when you are solving equations with whole numbers, solving equations with fractions has the same order of operations. The order of operations is the order in which you solve the problem. If numbers are in parentheses, you do them first.
Answer:
Step-by-step explanation:
a). Given a parametric equation, we are describing a set of coordinates based on the value of t. The variable t is called the parameter.
b) we have the following equations. x=t y=t^2, so in order for us to know where the object is at t=t' we must replace t with the specific value t'. Hence, when t=0 the object is at (0,0^2) = (0,0) (the origin). When t=6, the object is at (6,6^2) = (6,36).
c). To eliminate the parameter, we replace the parameter in one equation by using the second equation. Recall that we have that x=t. Then, by replacing in the second equation, we have the following

where 
Answer:
C) 
E) 
F) 
Step-by-step explanation:
C)
One is given the following equation

In order to simplify fractions, one must convert the fractions to a common denominator. The common denominator is the least common multiple between the given denominators. Please note that the denominator is the number under the fraction bar of a fraction. In this case, the least common multiple of the denominators is (
). Multiply the numerator and denominator of each fraction by the respective value in order to convert the fraction's denominator to the least common multiple,


Simplify,





E)
In this case, one is given the problem that is as follows:

Use a similar strategy to solve this problem as used in part (c). Please note that in this case, the least common multiple of the two denominators is the product of the two denominators. In other words, the following value: (
)


Simplify,







F)
The final problem one is given is the following:

For this problem, one can use the same strategy to solve it as used in parts (c) and (e). The least common multiple of the two denominators is (
). Multiply the first fraction by a certain value to attain this denomaintor,


Simplify,





Answer:
The correct answer is A) 5n = 3d and 3n + 6 = 2d + 4
Step-by-step explanation:
hope this is right...
Answer:
And we can find this probability with thie difference:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
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".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with thie difference:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.