Are Triangles similar?
1 answer:
Given:
A figure of triangles.
To find:
Whether the triangles SPT and triangle QPR are similar.
Solution:
In triangle SPT and triangle QPR,
(Given)
(Common angle)
In triangles SPT and triangle QPR, two corresponding angles are congruent. So, by AA property of similarity both triangles are similar.
Therefore, yes, the triangle SPT and triangle QPR similar. Option A is correct.
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Answer:
The probability that exactly 30% of these 10 telephone users do not have landlines in their homes is 0.2668.
Step-by-step explanation:
We are given that a recent survey found that 30% of telephone users have switched completely to cell phone use (i.e. they do not have landlines in their homes).
A random sample of 10 of these customers is selected.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 10 customers
r = number of success = 30% of 10 = 3
p = probability of success which in our question is the probability
that telephone users do not have landlines in their homes,
i.e. p = 30%
Let X = <u><em>Number of telephone users who do not have landlines in their homes</em></u>
So, X ~ Binom(n = 10, p = 0.30)
Now, the probability that exactly 30% of these 10 telephone users do not have landlines in their homes is given by = P(X = 3)
P(X = 3) =
=
= <u>0.2668</u>