Answer:
x = 5/7
Step-by-step explanation:
(7^x)^4) = 7^2 * 7^3 / 7^3x
1. Simplify the expression
(7^x)^4) becomes 7^4x
7^2 * 7^3 becomes 7^5
7^5/7^3x becomes 7^5 - 7^3x
Your new equation: 7^4x = 7^5 - 7^3x
2. Since the bases(7) are the same set the exponents equal to each other
4x = 5 - 3x
3. Combine like terms
4x + 3x = 5
7x = 5
4. Divide both sides by 7 to get x by itself
x = 5/7
Answer:
D) We are 95 percent confident that the mean difference in scores for all children in the program is between 20.1 points and 23.9 points.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
95 percent confidence interval (20.1,23.9)
We are 95% sure that the population mean(that is, the mean for all children in the program) is in this interval. So the correct answer is given by option D.
Answer:
transformation
Step-by-step explanation:
this is when one form of energy forms into another form, and it can be transferred into a new object or location
Answer:
Answer in Explanation
Step-by-step explanation:
His reasoning is wrong. We can evaluate the validity of his reasoning by looking at the basics of what a polynomial is.
In the real sense of it, what makes a polynomial a polynomial is the power to which the variable is raised and not the integer attached to the variable.
In this case, we do not even have an integer attached.
What makes a polynomial a polynomial is that the variable is raised to an exponent or power which is a positive whole number ( integer)
In this case, while x^2 is a polynomial, x^-2 is not and also x^1/2 is not
Only x^2 is qualified as a polynomial because it is the only expression having its powers in positive integers
Hence; 0.5x^2 is a polynomial since it is raised to a positive whole number (integer)
Answer:
Probability both are hopelessly romantic = 0.0169
Probability at least one is hopelessly romantic = 0.2431
Step-by-step explanation:
We are given that about 1313% of the population of a large country is hopelessly romantic.
Also, given two people are randomly selected.
Firstly, Let <em>Probability that the population of a large country is hopelessly romantic = P(R) = 0.13 </em>
(a) Probability both are hopelessly romantic is given by = Probability that first person is hopelessly romantic Probability that second person is hopelessly romantic
=
= 0.13 0.13 = <u>0.0169</u>
(b) Now, Probability that the population of a large country is not hopelessly romantic = P(R') = 1 - P(R) = 1 - 0.13 = 0.87.
So, Probability at least one is hopelessly romantic is given by = 1 - Probability that none of them is hopelessly romantic
=
= 1 - (0.87 0.87)
= 1 - 0.7569 = <u>0.2431</u>