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Answer:
170 cm².
Step-by-step explanation:
This is an example of a composite figure, so find the areas of each shape separately:
Begin by finding the area of the smaller square. A = s²
A = 7² = 49 cm².
Find the area of the larger square:
A = 11² = 121 cm².
Add up the two areas:
49 + 121 = 170 cm².
Answer:A)0.75
Step-by-step explanation:
Given
There are four options to a question
out of which one is correct with 4 points
one is wrong but carries 1 point
Other two are wrong with a negative Point
Probability of selecting an option is 
Expected score
Expected score=1+0.25-0.5
Expected score=0.75
Answer:
12x9y9
Step-by-step explanation:
( 4x3y3 ) 3
= 4x ⋅ 3 ⋅ 3y ⋅ 3 ⋅ 3 ⋅ 3
= 12x9y9
Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2.
H - head
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T) = 0.8
urn
3 red and 5 blue
when heads is obtained
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12
when tails is obtained
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3
using bayes rule the answer can be found out,
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
= 0.12 / (0.12 + 0.3)
= 0.12 / 0.42
= 0.286
the final answer is 0.286
