Answer:
5 cm
Step-by-step explanation:
We khow that the altitude of this triangle is 1cm shorter than the base
- Let H be our altitude and B our base and A the area of the triangle
- A= (B*H)/2 ⇒ 15=(B*H)/2
- H is 1cm shorter than B ⇒ B=H+1
- H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0
that's a quadratic equation . Let's calculate the dicriminant .
Let Δ be the dicriminant
- a=1
- b=1
- c= -30
- Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0
- Δ≥0⇔ that we have two solutions x and y
- x= (-1-
)/2= (-1-11)/2= -6 - y= (-1+
)/2= 10/2 = 5
We have a negative value and a positive one
The altitude is a distance so it can't be negative
H= 5cm
No, A and B are not independent events
Step-by-step explanation:
Let us study the meaning independent probability
- Two events are independent if the result of the second event is not affected by the result of the first event
- If A and B are independent events, the probability of both events is the product of the probabilities of the both events P (A and B) = P(A) · P(B)
∵ P(A) = 
∵ P(B) = 
∴ P(A) . P(B) =
× 
∴ P(A) . P(B) = 
∴ P(A) . P(B) = 
∵ P(A and B) = 
∵ P(A) . P(B) = 
- The two answers are not equal
∴ P (A and B) ≠ P(A) · P(B)
- In independent events P (A and B) = P(A) · P(B)
∴ A and B are not independent events
No, A and B are not independent events
Learn more:
You can learn more about probability in brainly.com/question/13053309
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1. No.
2. No.
3. Yes.
4. No.
Hi!!!!!!!!!!!!
Hope I help!
SO the correct answer are...............................
<h2><u>
0=0! 1=4! 2=8! 3=12! 4=16! &, 5=20!!!!!!!!!!</u></h2>
Answer:
-6
Step-by-step explanation: