Answer:the length of each side of the larger square is 6 centimeters.
Step-by-step explanation:
Let x represent the length of each side of the small square.
Let y represent the length of each side of the Large square.
The area of the small square is x^2
The area of the large square is y^2
The combined area of two squares is 45 square centimeters. This means that
x^2 + y^2 = 45 - - - - - - - - - - -1
Each side of one square is twice as long as a side of the other square. This means that
y = 2x
Substituting y = 2x into equation 1, it becomes
x^2 + (2x)^2 = 45
x^2 + 4x^2 = 45
5x^2 = 45
x^2 = 45/5 = 9
x = √9 = 3
Substituting x = 3 into y = 2x, it becomes
y = 2 × 3 = 6 centimeters
Answer:
Se=1.2
Step-by-step explanation:
The standard error is the standard deviation of a sample population. "It measures the accuracy with which a sample represents a population".
The central limit theorem (CLT) states "that the distribution of sample means approximates a normal distribution, as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population distribution shape"
The sample mean is defined as:

And the distribution for the sample mean is given by:

Let X denotes the random variable that measures the particular characteristic of interest. Let, X1, X2, …, Xn be the values of the random variable for the n units of the sample.
As the sample size is large,(>30) it can be assumed that the distribution is normal. The standard error of the sample mean X bar is given by:

If we replace the values given we have:

So then the distribution for the sample mean
is:

Answer:
y=3x^2 -15x-42
Step-by-step explanation: