Answer:
Step-by-step explanation:
Given:
An isosceles triangle ABC with AB = AC.
∠A =
∠B =
∠C =
We know that, for an isosceles triangle, the angles opposite equal sides are also equal to each other.
Therefore, ∠B = ∠C
⇒
⇒
∴ ∠C = °
Now, the sum of all the interior angles of a triangle is always 180°.
Therefore, the value of 'y' is 5.
Answer:
The probability that at least two-third of vehicles in the sample turn is 0.4207.
Step-by-step explanation:
Let <em>X</em> = number of vehicles that turn left or right.
The proportion of the vehicles that turn is, <em>p</em> = 2/3.
The nest <em>n</em> = 50 vehicles entering this intersection from the east, is observed.
Any vehicle taking a turn is independent of others.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 50 and <em>p</em> = 2/3.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of <em>X</em> if the following conditions are satisfied:
Check the conditions as follows:
Thus, a Normal approximation to binomial can be applied.
So,
Compute the probability that at least two-third of vehicles in the sample turn as follows:
Thus, the probability that at least two-third of vehicles in the sample turn is 0.4207.