Answer:
using pythagoras theorem
a^2+b^2=c^2
8^2+x^2=(x+2)^2
64+x^2=x^2+2*x*2+2^2
64+x^2=x^2+4x+4(here x^2 of left hand side and x^2 of right hand side gets cancel)
64=4x+4
64-4=4x
60/4=x
15=x
Step-by-step explanation:
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Mean (m) = 266 days
Standard deviation (s) = 16 days
A.) p(( Z ≤ (x - m) /s) = 2.5%
p(( Z ≤ (x - 266) /16) = 0.025
(x - 266) /16 = - 1.96 (Z probability calculator)
x - 266 = - 31.36
x = - 31.36 + 266
x = 234.64
B.)
p(( Z ≤ (x - m) /s) = 2.5%
p(( Z ≤ (x - 266) /16) = 0.025
(x - 266) /16 = - 1.96 (Z probability calculator)
x - 266 = - 31.36
x = - 31.36 + 266
x = 234.64
p(( Z ≤ (x - m) /s) = 2.5%
p(( Z ≤ (x - 266) /16) = 0.025
(x - 266) /16 = 1.96 (Z probability calculator)
x - 266 = 31.36
x = 31.36 + 266
x = 297.36
Hence,
234.64 < x <297.36
C.)
p(( Z ≤ (x - m) /s) = 2.5%
p(( Z ≤ (x - 266) /16) = 0.025
(x - 266) /16 = 1.96 (Z probability calculator)
x - 266 = 31.36
x = 31.36 + 266
x = 297.36
The figure consists of a triangle and two rectangles.
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Top Triangle:
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Height = 22 - 10 - 7 = 5cm
Base = 20 - 5 - 5 - 10cm
Area of triangle = 1/2 x 5 x 10 = 25 cm²
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Middle Rectangle:
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Length = 10cm
Width = 7cm
Area = 10 x 7 = 70 cm²
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Bottom Rectangle:
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Length = 20 cm
Width = 10 cm
Area = 20 x 10 = 200 cm²
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Total Area:
-----------------------------
Area = 25 + 70 + 200 = 295 cm²
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Answer: Area = 295 cm²
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You could roll a 6-sided die 3 times to simulate this. This is a good simulation because it has one side for each possible tool, and each roll is independent, just as selecting the tool with replacement would be.
Answer:
Greater than or equal to, or D.
