Answer:
Step-by-step explanation:
Since both triangles are similar, we know this because they have 2 angles in common, they both have the same third angle.
To find the third angle, we use the angle sum. The sum of angles in a triangle will always equal 180 degrees. We are given a right angle which is 90 degrees and another angle, which is 53 degrees. Knowing this:
90 + 53 + x = 180 (I have chosen to call the third angle x)
when rearranging this we get
180 - 90 - 53 = x
now we solve
x = 37 degrees
Hope this helps,
Cate
Answer: C. A conclusion based on a confidence interval estimate will be the same as a conclusion based on a hypothesis test.
Explanation: The One-Sample Proportion Test is used to assess whether a population proportion (P1) is significantly different from a hypothesized value (P0). This procedure calculates sample size and statistical power for testing a single proportion using either the exact test or other approximate z-tests.
To write a null hypothesis, first, start by asking a question. Rephrase that question in a form that assumes no relationship between the variables. In other words, assume a treatment has no effect. Write your hypothesis in a way that reflects this.
A null hypothesis is a hypothesis that says there is no statistical significance between the two variables. It is usually the hypothesis a researcher or experimenter will try to disprove or discredit. An alternative hypothesis is one that states there is a statistically significant relationship between two variables.
Answer:
Step-by-step explanation:
Given
Solid Shape = Cube
Edge = 2 feet
Increment = 5 feet per minute
Required
Determine volume as a function of minute
From the question, we have that the edge of the cube increases in a minute by 5 feet
<em>This implies that,the edge will increase by 5m feet in m minutes;</em>
Hence,
Volume of a cube is calculated as thus;
Substitute 2 + 5m for Edge
Represent Volume as a function of m
The correct answer is the first option, y = 0.6x + 0.6. When the line of best fit is drawn, the slope can be solved by the formula m=Δy/Δx, where Δy is the difference between two y-coordinates and Δx the difference between two x-coordinates. The y-intercept is the value at which the line coincides with the y-axis (x=0).
Answer:
d. can be equal to the value of the coefficient of determination (r2).
True on the special case when r =1 we have that 
Step-by-step explanation:
We need to remember that the correlation coefficient is a measure to analyze the goodness of fit for a model and is given by:
![r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2%20-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2%20-%28%5Csum%20y%29%5E2%5D%7D%7D)
The determination coefficient is given by 
Let's analyze one by one the possible options:
a. can never be equal to the value of the coefficient of determination (r2).
False if r = 1 then
b. is always larger than the value of the coefficient of determination (r2).
False not always if r= 1 we have that 
and we don't satisfy the condition
c. is always smaller than the value of the coefficient of determination (r2).
False again if r =1 then we have and we don't satisfy the condition
d. can be equal to the value of the coefficient of determination (r2).
True on the special case when r =1 we have that
