Answer:
= 12
Step-by-step explanation:
{ 3 ×
- 3 } -3 × 4
Solve the brackets first
{3 × 9 - 3 } -3 × 4
{ 27 -3 } -3 × 4
24 - 3 × 4
24 - 12
= 12
Answer: There are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.
Explanation:
Since we have given that
For every 5 pieces of cloth, 2 are rectangles
So, remaining piece will be of triangle so,

3 are triangles.
Ratio of rectangles to triangles is 2:3.
Now, she needs 15 pieces of cloth to complete her scarf,
So, Number of rectangles is needed is given by

Number of triangles is needed is given by

Hence, there are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.
Answer:
∠B = 12°
∠C = 180 - 48° = 132° ( straight line angle = 180)
Sum of angles of a triangle = 180°
180 = ∠A + ∠B + ∠C
180 = ∠A + 12 + 132
180 - 144 = ∠A
∠A = 36°
option B
Answer:
See Annex for tree diagram and all probabilities
b) P(2y) = 0,329
Step-by-step explanation:
a) Attached
b) Probability of the second ball is yellow P(2y) is equal to the probability of the second ball is yellow given that the first one is black ( 0,204 ) plus the probability f the second ball is yellow given that the first one is yellow ( 0,125)
P(2y) = 0,204 + 0,125
P(2y) = 0,329
N-2= 1/16
⇒ n= 1/16+ 2 (inverse operation)
⇒ n= 2+ 1/16
⇒ n= 2 1/16
Final answer: n= 2 1/16.