Wooden boxes are commonly used for the packaging and transportation of mangoes. A convenience store regularly buys mangoes from
1 answer:
Answer:
Step-by-step explanation:
Given that a convenience store regularly buys mangoes from a wholesale dealer. For every shipment, the manager randomly inspects five mangoes from a box containing 20 mangoes for damages due to transportation. Suppose the chosen box contains exactly 2 damaged mangoes.
In the selected box 18 good mangoes and 2 damaged mangoes are there
a) Find the probability that the first mango is not damaged.
= prob of selecting 1 from any one of 18 good mangoes =
b. Find the probability that neither of the mangoes is damaged. =
Prob of selecting 2 from 18 good mangoes
=
c. Find the probability that both mangoes are damaged.
= Prob of selecting 2 from 2 bad mangoes
=
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Given:
M=(x1, y1)=(-2,-1),
N=(x2, y2)=(3,1),
M'=(x3, y3)= (0,2),
N'=(x4, y4)=(5, 4).
We can prove MN and M'N' have the same length by proving that the points form the vertices of a parallelogram.
For a parallelogram, opposite sides are equal
If we prove that the quadrilateral MNN'M' forms a parallellogram, then MN and M'N' will be the oppposite sides. So, we can prove that MN=M'N'.
To prove MNN'M' is a parallelogram, we have to first prove that two pairs of opposite sides are parallel,
Slope of MN= Slope of M'N'.
Slope of MM'=NN'.
Hence, slope of MN=Slope of M'N' and therefore, MN parallel to M'N'
Hence, slope of MM'=Slope of NN' nd therefore, MM' parallel to NN'.
Since both pairs of opposite sides of MNN'M' are parallel, MM'N'N is a parallelogram.
Since the opposite sides are of equal length in a parallelogram, it is proved that segments MN and M'N' have the same length.