Answer:A)0.5 We can see in the graph , that it is bell-shaped along x =2. A bell-shaped graph along one value is called symmetric graph and it represents a normal distribution.
Since, the give graph is symmetric around x=2, so the mean of the data is 2.
The point immediate left to the mean represents x-σ
so,
2 - σ = 1.5
So,
σ = 0.5
The sigma represents standard deviation.
Hence, Option A is correct ..
Step-by-step explanation:and what is on d is 2.5
A = π*r^2
r = √(A/π) = √(45/π) ≈ 3.78
The radius is approximately 4 inches.
Answer
Part A: The right triangles are smiliar because If the lengths of the hypotenuse and a leg of a right triangle are proportional to the corresponding parts of another right triangle, then the triangles are similar.
Part B: 2z:2x or 2z/2x. You can write z/x as z:x. Then just multiply both sides by the same number to get an equivalent ratio. Let's multiply by 2. then the answer will be: 2z:2x or 2z/2x
Step-by-step explanation:
Answer:
y = 2(x + 3)² - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms
= 2(x² + 6x) + 14
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9 ) + 14
= 2(x + 3)² - 18 + 14
= 2(x + 3)² - 4 ← in vertex form
