The length of the third side of the quadrilateral is 7.5 cm.
<h3>
Quadrilateral</h3>
A quadrilateral is a polygon that has four sides and four angles. The sum of interior angles in a quadrilateral is 360°. Types of quadrilateral are square, rectangle, rhombus, kite and so on.
Let x represent the length of the third side, hence:
x = 5 + (5 * sin(20)) + (5 * sin(10)) = 7.5 cm
The length of the third side of the quadrilateral is 7.5 cm.
Find out more on Quadrilateral at: brainly.com/question/16691874
Answer:
-1/4 (d+1)< 2
(d+1) × -1 < 2×4
(d+1) × -1 < 8
-d - 1 < 8
-d < 8 + 1
-d < 9
d > -9
d = { -8, -7, -6....., 0, 1, 2, 3, 4,....}
Step-by-step explanation:
brainliest plz
Answer:
a) P(B'|A) = 0.042
b) P(B|A') = 0.625
Step-by-step explanation:
Given that:
80% of the light aircraft that disappear while in flight in a certain country are subsequently discovered
Of the aircraft that are discovered, 63% have an emergency locator,
whereas 89% of the aircraft not discovered do not have such a locator.
From the given information; it is suitable we define the events in order to calculate the probabilities.
So, Let :
A = Locator
B = Discovered
A' = No Locator
B' = No Discovered
So; P(B) = 0.8
P(B') = 1 - P(B)
P(B') = 1- 0.8
P(B') = 0.2
P(A|B) = 0.63
P(A'|B) = 1 - P(A|B)
P(A'|B) = 1- 0.63
P(A'|B) = 0.37
P(A'|B') = 0.89
P(A|B') = 1 - P(A'|B')
P(A|B') = 1 - 0.89
P(A|B') = 0.11
Also;
P(B ∩ A) = P(A|B) P(B)
P(B ∩ A) = 0.63 × 0.8
P(B ∩ A) = 0.504
P(B ∩ A') = P(A'|B) P(B)
P(B ∩ A') = 0.37 × 0.8
P(B ∩ A') = 0.296
P(B' ∩ A) = P(A|B') P(B')
P(B' ∩ A) = 0.11 × 0.2
P(B' ∩ A) = 0.022
P(B' ∩ A') = P(A'|B') P(B')
P(B' ∩ A') = 0.89 × 0.2
P(B' ∩ A') = 0.178
Similarly:
P(A) = P(B ∩ A ) + P(B' ∩ A)
P(A) = 0.504 + 0.022
P(A) = 0.526
P(A') = 1 - P(A)
P(A') = 1 - 0.526
P(A') = 0.474
The probability that it will not be discovered given that it has an emergency locator is,
P(B'|A) = P(B' ∩ A)/P(A)
P(B'|A) = 0.022/0.526
P(B'|A) = 0.042
(b) If it does not have an emergency locator, what is the probability that it will be discovered?
The probability that it will be discovered given that it does not have an emergency locator is:
P(B|A') = P(B ∩ A')/P(A')
P(B|A') = 0.296/0.474
P(B|A') = 0.625
Answer:
The present age of Sam is 20 years .
Step-by-step explanation:
Given as :
Let The age of John = J years
Let The age of Sam = S years
∵ Sam is 12 years older than John
so, The age of Sam = 12 + The age of John
i.e S = 12 + J .....1
<u>Again</u>
Before 5 years ago
The age of Sam = 5 times age of John
So, (S - 5) = 5 × (J - 5)
Or, S - 5 = 5 J - 25
Or, 5 J - S = 25 - 5
Or, 5 J - S = 20 .........2
Solving eq 1 and eq 2
[5 J - (12 + J)] = 20
Or, 5 J - 12 - J = 20
Or, 4 J = 20 + 12
Or, 4 J = 32
∴ J = 
i.e J = 8 years
So, The age of John = J = 8 years
Put The value of J into eq 1
∵ S = 12 + J
So, S = 12 + 8
i.e S = 20 years
So, The present age of Sam = S = 20 years .
Hence, The present age of Sam is 20 years . Answer
