Step-by-step explanation:
∠YXZ and ∠VXU are vertical angles, and therefore are congruent.
<em>∠YXZ ≅ ∠VXU, Vertical ∠'s ≅</em>
Next, we're given that lines YZ and UV are parallel. That means that ∠YZV and ∠UVZ are alternate interior angles, and therefore congruent.
<em>∠YZV ≅ ∠UVZ, If lines ||, then alternate interior ∠'s ≅</em>
If two triangles have two pairs of congruent angles, then the third pair must also be congruent, making the two triangles similar.
<em>△XYZ ~ △XUV, AA</em>
Since the triangles are similar, then by definition, their sides are proportional.
<em>XY/XU = YZ/UV, Definition of Similar Polygons</em>
Answer:
a) The probability that a box containing 3 defectives will be shipped is
b) The probability that a box containing only 1 defective will be sent back for screening is
Step-by-step explanation:
Hi
a) The first step is to count the number of total possible random sets of taking a sample size of 4 items over 23 items of the box, so
The second step is to count the number of total possible random sets of taking a sample size of 4 items over 20 items of the box (discounting the 3 defectives) as the possible ways to succeed, so
Finally we need to compute , therefore the probability that a box containing 3 defectives will be shipped is
a) The first step is to count the number of total possible random sets of taking a sample size of 4 items over 23 items of the box, so
The second step is to count the number of total possible random sets of taking a sample size of 4 items over 22 items of the box (discounting the defective 1) as the possible ways to succeed, so
Then we need to compute , therefore the probability that a box containing 1 defective will be shipped is
Finally the probability that a box containing only 1 defective will be sent back for screening will be
The equivalent ration is B
Answer:
the answer is 76
Step-by-step explanation: