Answer: indistinct, alike equivelent
Step-by-step explanation:
Answer:
The difference between the two possible lengths is 3.2 in
Explanation:
Assume that the sides of the triangle are:
a = 5
b = 8
c = x
First, we will assume that the third side is the hypotenuse:
For the triangle to be right angled:
c^2 = a^2 + b^2
Substitute with the values of a, b and c in the equation and solve for x as follows:
c^2 = a^2 + b^2
x^2 = (5)^2 + (8)^2
x^2 = 89
either x = 9.433 in
or x = -9.433 in (refused as no length is in negative)
So, first possible value of the third side is 9.433 in
Second, we will assume that the 8 in is the hypotenuse of the triangle.
For the triangle to be right angled:
b^2 = a^2 + c^2
(8)^2 = (5)^2 + x^2
64 = 25 + x^2
x^2 = 64 - 25 = 39
either x = 6.245 in
or x = -6.245 in (refused as no length is in negative)
Therefore, the second possible value of the third side is 6.245 in
Finally, we will get the difference between the two length as follows:
difference = 9.433 - 6.245 = 3.188 which is approximately 3.2 in
Note:
We cannot assume that the 5 in is the hypotenuse because in the right-angled triangle the hypotenuse is the longest side. We are given that one side = 8 in therefore, it is impossible for the 5 in to be the hypotenuse.
Hope this helps :)
The null hypothesis to test the significance of the slope on a regression equation is that the slope is equal to zero.
Given that we have to test the significance of slope in a regression equation.
Equation is relationship between two or more variables that are expressed in equal to form.Equation of two variables look like ax+by=c. It may be a linear equation, quadratic equation, cubic equation or many more depending on the powers of the variable present in that equation.
Slope is basically a number which indicates the direction of the line.
Null hypothesis is a statement which is tested for its validity and it is nothing but opposite of the result we want.
The standard regression equation be y=mx+c and in this m is slope of the equation.
The line depends on the slope because if it is zero then the value of y becomes zero. So, the null hypothesiss is that the slope is equal to zero.
Hence the null hypothesis to test the significance of the slope on a regression equation is that the slope is equal to zero.
Learn more about slope at brainly.com/question/3493733
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Answer:
y < 1/2x - 3
Step-by-step explanation:
You can write the inequality equation for the graph using the form y = mx + b. The inequality line has a y-intercept at (0,-3). This means b = -3. It also has a slope of 1/2 since the line moves up 1 and over 2 to the next point on the line.
This means the lines equation is y = 1/2x - 3. But since this is an inequality, you must use an inequality sign. Since the line is dashed it is not equal to. Your options are < and >. Use the point (0,0) to test which sign is appropriate.
y < 1/2x - 3 y > 1/2x - 3
0 < 1/2(0) - 3 0 > 1/2(0) - 3
0 < -3 0 > -3
The answer is y < 1/2x - 3 since (0,0) doesn't make it true and (0,0) is not shaded in the graph. This means it is not a solution.