laywah4
20.07.2020 •
Mathematics
Philip ran out of time while taking a multiple-choice test and plans to guess on the last 4 questions. Each question has 5 possible choices, one of which is correct. Let X, equals the number of answers Philip correctly guesses in the last 4 questions. Assume that the results of his guesses are independent. What is the probability that he answers fewer than 2 questions correctly in the last 4 questions?
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Ответ:
Given
△ABC and △CDE are equilateral.
AE
= 25
To find perimeters of the two triangles,
Let us consider the lengths of
AC
and
CE
to be
′
x
′
and
′
y respectively.
As △ABC is equilateral,
AC
=
AB
=
BC
= x
As △CDE is equilateral,
CE
=
CD
=
DE
= y
From the figure,
AE
=
AC
+
CE
25 = x + y
x + y = 25
Perimeter of the triangle is the sum of all sides of the triangle.
For △ABC,
Perimeter of △ABC =
AC
+
AB
+
BC
= x + x + x
= 3x
For △CDE,
Perimeter of △CDE =
CE
+
CD
+
DE
= y + y + y
= 3y
Now,
Perimeter of two triangles = Perimeter of △ABC + Perimeter of △CDE
= 3x + 3y
= 3 × (x + y)
= 3 × 25 (from above)
= 75
Therefore, Perimeter of the two triangles is'75′units.
Step-by-step explanation:
Hope it is helpful...