Answer:
72.73% probability of selecting a girl, given the flip resulted inheads
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Coin resulted in heads
Student is selected at random from a class of six boys and sixteen girls.
Desired outcomes:
16 girls, so
Total outcomes:
16+6 = 22, that is, 22 students, so
Probability:
72.73% probability of selecting a girl, given the flip resulted inheads
Answer:
Perimeter of the quadrilateral PQRS is 25 units
Step-by-step explanation:
From the figure attached,
PQ is a tangent to the given circle so m∠PQR = 90°
Now we apply Pythagoras theorem in the ΔPQR,
PR² = PQ² + QR²
(PT + TR)²= PQ² + 5²
(4 + 5)² = PQ² + 25
81 = PQ² + 25
PQ = √(81 - 25)
= √56
≈ 7.5 units
PQ ≅ PS ≅ 7.5 units
[Since measures of tangents drawn from a point to a circle are always equal]
Perimeter of PQRS = PQ + QR + RS + PS
= 7.5 + 5 + 5 + 7.5
= 25 units
Therefore, perimeter of the quadrilateral PQRS is 25 units.
