Answer: Mean = 9, Standard Deviation = 2.6
Answer:
The Original Number is 36
Step-by-step explanation:
Given:
y is the number in units place
x is the number in tens place
Original Number = 
is equation 1
Now after interchanging the digits
New number = 
New Number = 27 + Original Number
Substituting Valus in above equation we get.

let this be equation 2
Adding equation 1 and 2 we get

Substituting value of y in equation 1 we get

x=3 and y=6
Original Number =
The total distance traveled by cycle = 50 * 12 = 600 inch
1 complete rotation measures = 2 * 3.14 * 24 = 150.72 inch
Total rotation = 600 / 150.72
= approx. 4
In short, Your Answer would be Option C
Hope this helps!
For the hypotenuses to be able to lie on the same line:
The tan of angle in both should be the same. That is the two triangles should be similar.
For the first triangle tanθ = 4/10 = 2/5
For the second triangle, tanθ = 12/30 = 6/15 = 2/5
Since both angles in the triangle are the same, hence, the hypotenuses of the two triangles could lie along the same line.
Answer:
The polynomial would be f(x) = x^3 + 4x^2 - 5x
Step-by-step explanation:
In order to find this, start with the equations that x is equal to each of the solutions. Then solve each of those expressions for 0.
-5 = x
0 = x + 5
1 = x
0 = x - 1
0 = x
Now put each of the terms that you have in parenthesis and multiply them all together.
f(x) = (x)(x + 5)(x - 1)
f(x) = (x)(x^2 + 4x - 5)
f(x) = x^3 + 4x^2 - 5x