8/f = 56/105 what is f?
2 answers:
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Answer: 0.6274
Step-by-step explanation:
Given: The proportion of patients experience injection-site reactions with the current needle : p=0.11
Sample size : n= 4
Let x be a binomial random variable that represents the people get an injection-site reaction.
Binomial probability formula:
The required probability : P(x=0)
Hence, the probability that none of the 4 people get an injection-site reaction = 0.6274
Answer:
2102.13 mm^2
Attached is a completed image of the question
Step-by-step explanation:
Given;
Radius of the circle r = KL = 27.1 mm
Angle of unshaded region = 32°
The total angle in a circle is 360°
Angle of shaded region θ = 360° - angle of unshaded region.
θ = 360° - 32° = 328°
The Area of a circle = πr^2
Area of shaded region A = (θ/360)πr^2
Substituting the given values;
A = (328/360)×π × 27.1^2
Area of shaded region A = 2102.13 mm^2
Answer:
KM = √70 ≈ 8.367
Step-by-step explanation:
FD is a midsegment whose length (8) corresponds to the average of the numbers of ratio units of LM : KN = 3 : 5. That is, each of those ratio units must be 2 length units, so KN = 10.
∠MKN = ∠KML = ∠N because the first two angles are alternate interior angles where transversal MK crosses parallel lines ML and KN. The latter two of these angles are equal because the problem statement says so.
These angle relationships make ΔKMN an isosceles triangle, with E the midpoint of the base. That is, KE = 5. We are told ME = 3√5, so the Pythagorean theorem tells us ...
... KM² = KE² +ME² = 5² +(3√5)² = 70
... KM = √70 . . . . . take the square root
