Answer:
d = 6√3 inches ≈ 10.40 inches
Step-by-step explanation:
d² = a² + c²
= 36 + 72
= 108
d = √108
= √3×36
= √3×6²
= 6√3 inches
= 6×1.73 inches
= 10.38 inches
≈ 10.40 inches
Answer:
I am pretty sure the answer is 324 or 300
Answer:
{(-2, -7), (-1, -5), (0, -3), (1, -1), (2, 1)}
Step-by-step explanation:
Consider an element in the set we want to achieve. This element can be written as the ordered pair (x, y), where x comes from the set {-2, -1, 0, 1, 2} and given some value of x, we can find y (with the formula y = 2 * x - 3).
So to begin finding the set of all pairs in the resulting set, we first begin by listing out all values of x in each pair:
(-2, y)
(-1, y)
(0, y)
(1, y)
(2, y)
Now to find y, we use the formula y = 2 * x - 3, and we get
(-2, 2 * (-2) - 3)
(-1, 2 * (-1) - 3)
(0, 2 * (0) - 3)
(1, 2 * (1) - 3)
(2, 2 * (2) - 3)
which simplifies to
(-2, -7)
(-1, -5)
(0, -3)
(1, -1)
(2, 1)
Answer:
d. The variance is 9.56 and the standard deviation is 3.09.
Step-by-step explanation:
From the above question, we are given the following data set.
3, 7, 8, 8, 8, 9, 10, 10, 13, 14
a) Mean = 3 + 7 + 8 + 8 + 8 + 9 + 10 + 10 + 13 + 14/ 10
= 90/10
= 9
b) Variance
The formula for sample Variance = (Mean - x)²/ n - 1
Mean = 9
n = 10
Sample Variance =
(3 - 9)² + (7 - 9)² + (8 - 9)² + (8 - 9)² + (8 - 9)² + (9 - 9)² + (10 - 9)² + (10 - 9)² + (13 - 9)² + (14 - 9)² / 10 - 1
= 36 + 4 + 1 + 1 + 1 + 0 + 1 + 1 + 16 + 25/9
= 86/9
= 9.555555556
≈ Approximately 9.56
Variance = 9.56
Sample Standard deviation = √Sample Variance
= √9.56
= 3.0919249667
≈ Approximately 3.09
Answer: I think its D. 1:5
Step-by-step explanation:
but im not surr