The midpoint of the line segment with endpoints (-6, -3) and (9, -7) is (1.5,-5).
Calculate the probability of each pen color by dividing the number of times each color was chosen by the total selections:
Red pens: 6 out of 30, which simplifies to 1/5
Blue pens: 10 out of 30, which simplifies to 1/3
Black pens: 14 out of 30, which simplifies to 7/15
To find the likelihood of first selecting a blue pen and then a red pen, multiply their individual probabilities:
(1/3) × (1/5) = 1/15
The resulting probability is 1/15.
Answer: y = 2/5 --> y = 0.4
Step-by-step explanation:
The equation 5y = 2 represents a horizontal line at y = 2/5.
This means that the y-coordinate holds the value of 2/5 = 0.4 for any x-coordinate.
Answer:
89
Step-by-step explanation:
Given that
2 O, 2 T and 1 M
Now based on this, the following arrangements exist
1
Three arrangements i.e. {M,T,O}
2
XX or XY
XX in 2C1 = two arrangements i.e. {OO or TT}
XY in 3C2 × 2! = six arrangements
3
XXY or XYZ
XXY in 2C1 × 2C1 × 3! ÷ 2! = twelve arrangements
XYZ in 3C3 × 3! = six arrangements
4
XXYY or XXYZ
XXYY = 4! ÷ (2! × 2!) = six arrangements
XXYZ in 2C1 × 4! ÷ 2! = twenty four arrangements
5
= 5! ÷ (2! ×2!)
= 120 ÷ 4
= 30
Thus, the overall total is
= 3 + (2 +6)+ (12 +6) + (6 +24) + 30
= 89
