Jankord Jewelers permits the return of their diamond wedding rings, provided the return occurs within two weeks. Typically, 10 p
1 answer:
Answer:
Step-by-step explanation:
From the given information;
the probability of getting returned p = 0.1
If eight rings are sold today, what is the probability that fewer than three will be returned;
According to binomial distribution
Binomial distribution is the probability of success or failure of an outcome of an experiment under observation which is usually repeated several trials. Binomial experiments are random experiment with fixed number of repeated experiment. If we cannot predict before head, the outcome of an experiment , the experiment is called a random experiment.
So , using binomial distribution to determine the probability that fewer than three will be returned;
i.e
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Question:
In triangle FGH, FG = 12.3 cm, GH = 10.6 cm, m angle G=80 degrees, and m angle H=55 degrees. If triangle ABC GHF, which statement is true?
(A) AB = 12.3 cm
(B) AB = 10.6 cm
(C) m∠C = 55°
(D) m∠C = 80°
Answer:
Option B:
AB = 10.6 cm
Solution:
The image of the triangle is attached below.
In ΔFGH,
FG = 12.3 cm, GH = 10.6 cm, m∠G = 80° and m∠H = 55°
Option A: AB = 12.3 cm
Given ΔGHF ΔABC.
Corresponding parts of congruence triangles are congruent.
GH = AB = 10.6 cm
So, option A is not true.
Option B: AB = 10.6 cm
Already proved in option A that AB = 10.6 cm
So, option B is true.
Option C: m∠C = 55°
ΔGHF ΔABC
Corresponding parts of congruence triangles are congruent.
m∠G = m∠A = 80°
m∠H = m∠B = 55°
Sum of the angles of a triangle = 180°
⇒ m∠A + m∠B + m∠C = 180°
⇒ 80° + 55° + m∠C = 180°
⇒ m∠C = 180° – 80° – 55°
⇒ m∠C = 45°
So, option C is not true.
Option D: m∠C = 80°
Already proved in option C that m∠C = 45°.
So, option D is not true.
Hence option B is the true statement that AB = 10.6 cm.
