Answer:
0.37
Step-by-step explanation:
As shown in table,
The probability of the fruit is orange is P(A) = 0.3
The probability of the fruit is organic is P(B)
The probability of the fruit is orange and organic is P(A⋂B) = 0.11
=> The probability that a randomly selected orange is organic is calculated by applying the conditional probability formula:
P(B|A) =P(A⋂B)/P(A) = 0.11/0.3 = 0.37
=> Option D is correct
Hope this helps!
Given:
The two sides of a triangle are 2 and 6.
To find:
The side length that would NOT work to make a triangle with the two slide lengths of 2 and 6.
Solution:
For a triangle, the sum of two smaller sides must be greater than the largest side.
Let x be the third side.
Case 1: x is the largest side, then
...(i)
Case 2: x is not the largest side, then
...(ii)
From (i) and (ii), we get
Here, 4 and 8 are not included.
6, 5, 7 are included in the above interval, but 4 is not included in the above interval. It means 4 would NOT work to make a triangle with the two slide lengths of 2 and 6.
Therefore, the correct option is D.
Answer: C
Step-by-step explanation: The standard equation is Ax + By = C
To solve for this, first solve for the slope: y2 - y1 / x2 - x1
0 - 5 / 4 - 0 = -5 / 4
Plug the slope and ordered pair of (0, 5) into the equation y - y1 = m(x - x1)
y - 5 = -5/4(x - 0)
Add 5 to both sides: y = -5/4x + 5
Subtract y and 5: -5 = -5/4x - y
Multiply the entire equation by 4: -20 = -5x - 4y
(or multiply entire equation by -4 to get 20 = 5x + 4y)
2/5/9 solved will be 0.4 repeating as a decimal, & 4/9 as a fraction
