Binomial distribution because:
Trials are Bernoulli (affected or not)
Probability is known (p=0.05) and remains constant for all trials.
Number of trials is known (n=6).
P(x)=C(n,x)p^x*(1-p)^(n-x)
x=0 =>
P(0)=C(6,0)(0.05^0)(0.95^6)
=0.7351.... (approximately)
So, 7h/2=28.
Multiply by 2 to get 7h=56.
Divide by 7 to get h=8.
Therefore, the height is 8.
Answer: LJ = 15 units
Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle. The length of K M is 6 and the length of M J is 3. What is the length of line segment LJ? 9 units 12 units 15 units 18 units
Step-by-step explanation:
See attached image for more information about the question.
Given;
JM = 3
KM = 6
Using Pythagoras theorem, we can solve for JK
JK^2 = JM^2 + KM^2
JK^2 = 3^2 + 6^2
JK = √(9+36)
JK = √45 = 3√5
Secondly, let x represent angle KJM
cosine = adjacent/hypothenus
cosx = JM/JK = JK/JL
JM/JK = JK/JL
Substituting the values
3/3√5 = 3√5/JL
JL = 3√5 × 3√5/3
JL = 3√5 × √5
JL = 15
JL = LJ = 15 units
The equivalent 90° CCW rotation maps (x, y) to (-y, x).
(4, -2) becomes (2, 4) after rotation.