College Math Questions: Expert Solutions & Tips

Write down a definition of a subfield. Prove that the intersection of a set of subfields of a field F is again a field

Researchers wanted to compare the effectiveness of a water softener used with a filtering process with a water softener used without filtering. Ninety locations were randomly divided into two groups of equal size. Group A locations used a water softener and the filtering process, while group B used only the water softener. At the end of three months, a water sample was tested at each location for its level of softness. (Water softness was measured on a scale of 1 to 5, with 5 being the softest water.) The results were as follows: Group A (water softener and filtering) ${\displaystyle x_1=2.1}$
${\displaystyle s_1=0.7}$ Group B (water softener only) ${\displaystyle x_2=1.7}$
${\displaystyle s_2=0.4}$ Determine, at the 90% confidence level, whether there is a difference between the two types of treatments.

Evaluate the following integrals.
${\displaystyle \int \frac{dx}{\sqrt{(x-1)(3-x)}}}$

What does the variance of a random variable measure?
What is the standard deviation of a continuous random variable X?

Determine whether the statement, 'I noticed that depending on the values for A and C, assuming that they are not both zero, the graph of ${\displaystyle A{x}^2+C{y}^2+Dx+Ey+F=0}$ can represent any of the conic sections', makes sense or does not make sense, and explain your reasoning.

Understanding the Concepts and Skills Give correct answer for in using F-procedures to make inferences for two population standard deviations, why should the distributions (one for each population) of the variable under consideration be normally distributed or nearly so?

An in-ground pond has the shape of a rectangular prism. The pond has a depth of 24 inches and a volume of 72,000 cubic inches. The length of the pond is two times its width.
Find the length and width of the pond.

Find the x-and y-intercepts of the given equation.
${\displaystyle g\left(x\right)=2x+4}$

To calculate:
The points needed on the final to average the points to 75 when the final carries double weight.
Given information:
Grades in three teste in College Algebra are 87,59 and 73.
The final carries double weight.
The average after final is 75.

Identify which assumption is needed to use the linear regression model to make inferences about the relationship.
Identify which assumption is the least critical.

Find the Euclidean distance between u and v and the cosine of the angle between those vectors. State whether that angle is acute, obtuse, or ${\displaystyle {90}^{\circ }}$. u = (-1, -1, 8, 0), v = (5,6,1,4)

Evaluate the integral.
${\displaystyle \int \sqrt{x}(x^3+\frac{x}{2})dx}$

The first four term of sequeces A,B,C,D are shown
Sequence A $(1/3),(2/4),(3/5),(4/6)$

After hearing of the national result that 44% of students engage in binge drinking (5 dri
a sitting for men, 4 for women), a professor surveyed a random sample of 244 students at his college and found that 96 of them admitted to binge drinking in the past week. Should he be surprised at this result? Explain.

The Laplace transform of the function $L\{6e^{-3t}-t^2+2t-8\}$

A function f (t) that has the given Laplace transform F (s).

For each of the following test, outline a research scenario and use any hypothetical data to show how the test is conducted.
Paired two-sample t-test

Discrete mathematics cardinality using Richard Hammacks

Explain which measure of spread would best describe the payroll:the range,the IQR, or the standard deviation.