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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Answer:
Choice A. 3.
Step-by-step explanation:
The triangle in question is a right triangle.
- The length of the hypotenuse (the side opposite to the right angle) is given.
- The measure of one of the acute angle is also given.
As a result, the length of both legs can be found directly using the sine function and the cosine function.
Let denotes the length of the side opposite to the
acute angle, and
be the length of the side next to this
acute angle.
.
Similarly,
.
The longer leg in this case is the one adjacent to the acute angle. The answer will be
.
There's a shortcut to the answer. Notice that . The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the
angle will be the longer leg. There will be no need to find the length of the opposite leg.
Does this relationship holds for all acute angles? (That is,
?) It turns out that:
if
;
if
;
if
.