Answer:
2/45
Step-by-step explanation:
We are told that:
A jar contains 2 orange, 4 green, 2 white and 2 black balls.
The total number of balls in the jar is calculated as:
2 orange balls + 4 green balls + 2 white balls + 2 black balls = 10 balls
The probability of drawing an orange ball = P(Orange) = 2/10
The probability of drawing a black ball = P(Black) = 2/10
Therefore, the probability of drawing an orange ball without putting it back, then drawing a black ball is calculated as:
2/10 × 2/9 = 4/90
= 2/45
Question 1
angle 1=angle 3
angle 3=37
therefore angle 1=37
Convert 1 3/5 to an improper fraction;
-1 × 5 + 3/5 ÷ -2/3
Simplify 1 × 5 to 5
-5 + 3/5 ÷ -2/3
Simplify 5 + 3 to 8
-8/5 ÷ -2/3
Use this rule: a ÷ b/c = a × c/b
-8/5 × 3/-2
Use this rule; a/b × c/d = ac/bd
-8 × 3/5 × - 2
Simplify 8 × 3 to 24
-24/5 × -2
Simplify 5 × -2 to -10
- 24/-10
Move the negative sing to the left
-(-24/10)
Simplify 24/10 to 12/5
-(-12/5)
Simplify brackets
12/5
Convert to a mixed fraction
<u>= 2 2/5</u>
