Find the value of each variable so that the quadrilateral is a parallelogram.
1 answer:
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Answer:
probability that his sample will contain at least one damaged apple (P) = 0.7215
Step-by-step explanation:
Given:
Probability of damaged apples (p) = 12% = 0.12
number of samples (n) = 10
Consider,
x- number of apples damaged.
Using Binomial distribution formula:
P(x) =
To find the probability that his sample will contain at least one damaged apple:
P(x≥1) = 1 - P(x<1)
= 1 - P(x=0)
= 1 -
P(x≥1) = 0.7215
Let's begin noting that a triangle is isosceles if and only if two of its angles are congruent. We can thus find the angle <ABP, recalling that the sum of the interior angles of a triangle is equal to 180°.
Finally, let point K be the intersection between segments BC and PQ, and let's note that the triangle PQB is a right isosceles triangle, since all the angles in a square are equal to 90°, and the two triangles APB and BQC are congruent.
Therefore, the angle BKQ is equal to 180-50-45=85°.
Of course angle BKP=180-85=95°.
Hope this helps :)