Area of a triangle = 1/2 x base x height
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Find Height :
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3.75 = 1/2 x 2.5 x height
3.75 = 1.25 x height
height = 3.75 ÷ 1.25
height = 3 meters
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Answer: The height is 3 meters.
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Answer:
<u>Part A</u>:
( is equal to all real numbers)
<u>Part B</u>:
Step-by-step explanation:
<u>Part A</u>:
Given , combine like terms:
Add 7 to both sides:
Since this is merely a true statement for all real numbers (reflexive property), this equation is true for any real value of .
Therefore,
( is equal to all real numbers).
<u>Part B</u>:
Using arbitrary values as requested in part B, verify:
The absolute value equation with the wanted solutions is:
|x| - 1/2 = 0
<h3>
How to find the absolute value equation?</h3>
Here we want to find an absolute value equation such that the solutions are:
x = -1/2 and x = 1/2.
Remember that the absolute value equation always changes the sign, such that the outcome is positive.
This means that:
|1/2| = 1/2
|-1/2| = 1/2
Then a trivial equation with these two solutions is:
|x| - 1/2 = 0
Where the two solutions are x = 1/2 and x = -1/2.
If you want to learn more about absolute value equations:
brainly.com/question/5012769
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Answer
given,
installed electric lamp = 2000
average life = 1000 hrs
standard deviation = 200 hrs
a)
let after p hors 10% bulb fails ,
P(X<p) = 0.10
from Normal distribution table,
P(Z<-1.28) = 0.10
on comparing
x = -1.28 x 200 + 1000
x = 744 hours
b) P( 900 < X < 1300) =
=
= P(-0.5 < Z < 1 .5)
= P(Z<1.5) - P(Z<-0.5)
= 0.93319 - 030854
= 0.62465
lamps may be expected to fail between 900 and 1300
= 0.62465*2000
= 1249.3
= 1249 (approx)