Answer:
m∠z = 106°
Step-by-step explanation:
From the figure attached,
By exterior angle theorem,
m∠z = a + 68°
By linear pair theorem,
m∠a + 142° = 180°
m∠a = 180° - 142°
= 38°
Therefore, m∠z = 38° + 68°
= 106°
Answer:
A = 57.97 cm²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A =
h (a + b)
where h is the perpendicular height and a, b the parallel bases
Here h = 6.2, a = 10.8 and b = 7.9, thus
A =
× 6.2 × (10.8 + 7.9) = 3.1 × 18.7 = 57.97 cm²
Step-by-step explanation:
please what's on option 3
Answer:
3/4
Step-by-step explanation:
Given the following :
Number of boxes = 2
First box :
White balls = 3
Blue balls = 2
Second box:
White balls = 4
Blue balls = 1
What is the probability that Frida picked a ball from the first box if she has selected a blue ball?
Probability (P) = (required outcome / Total possible outcomes)
Probability of picking first box : P(F) = 1/2
Probability of not picking second box :P(S) 1/2
Probability of picking blue from first box : P(B | F) = 3/5
Probability of picking blue, but not from first box : P(Blue not from second box) P(B|S) = 1/5
probability that Frida picked a ball from the first box if she has selected a blue ball?
P(F) * P(B|F) ÷ (P(F) * P(B|F)) + (P(S) * P(B|S))
(1/2 * 3/5) ÷ ((1/2 *3/5) + (1/2 * 1/5)
3/10 ÷ (3/10 + 1/10)
3/10 ÷ 4/10
3/10 * 10/4
= 3/4