P(X \ Y) = P(X ∩ Y)/P(Y)
P(X ∩ Y) = 80/1000 = 0.08
P(Y) = 580/1000 = 0.58
P(X \ Y) = 0.08/0.58 = 8/58 = 4/29
Answer:
Step-by-step explanation:
Given
Solving for (a): n
To find n;
We will utilize
Substituting values for XY and XZ
Dividing by -6
Solving for (b) XY
Substituting 3 for n
Solving for (c): XZ
Answer:
The sales figure for the third year is ![[\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}\times 100\%]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B32%5C%20%5Ctext%7Bmn%7D-x%5C%20%5Ctext%7Bmn%7D%7D%7Bx%5C%20%5Ctext%7Bmn%7D%7D%5Ctimes%20100%5C%25%5D)
.
Step-by-step explanation:
Since sales data for the second year is unavailable, we denote it as x million.
Year 3's total sales amount to 32 million.
Calculate the sales account for year 3 as follows:
Sample Response: Rotations fall under rigid transformations, meaning they keep the figure’s size, lengths, shapes, and angle measurements unchanged. Despite this, the orientation of the figure does change. Line segments that connect the center of rotation to points on both the original figure and its rotated image are congruent in length. However, corresponding edges between matching vertices do not run parallel to each other.
Response:
The area of the circle is roughly 33.183 cm²
Step-by-step explanation:
The lengths of the inscribed triangle are 2.5 cm, 6 cm, and 6.5 cm
Using the cosine law, we find;
6.5² = 6² + 2.5² - 2 × 6 × 2.5 × cos A
2 × 6 × 2.5 × cos A = 6² + 2.5² - 6.5² = 0
∴ cos(A) = 0
A = cos⁻¹(0) = 90°
The angle at the center is double the angle at the circumference
Thus, angle at the center = 2 × 90° = 180°
The 6.5 cm side forms a straight angle of 180° at the center of the circle; hence, this side equals the diameter of the circle
The circle's radius = 1/2 × The diameter = 1/2 × 6.5 cm = 3.25 cm
The area of the circle is determined by the formula π × r² = π × 3.25² ≈ 33.183 cm².
