Wow ! I didn't know the numbers when I read the question,
but with that much riding on it, I had to go look them up and
learn something. You probably could have done the same thing
and saved yourself some money, but it's too late for that. It's all
mine now, as soon as I finish writing this answer.
In the normal distribution, 68.27% of the values lie within one
standard deviation of the mean, 95.45% lie within two standard
deviations, and 99.73% lie with three standard deviations.
Within one sigma: 68.27% of 20,000 = 13,654
13,654 light bulbs will last between 190 days and 270 days.
Within two sigma: 95.34% of 20,000 = 19,068
19,068 light bulbs will last between 150 days and 310 days.
Here's the one you asked for:
Within three sigma: 99.73% of 20,000 = 19,946
19,946 light bulbs will last between 110 days and 350 days.
Only 54 light bulbs will burn out in less than 110 days
OR keep going more than 350 days.
OK. Now you owe me.
Answer:
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Step-by-step explanation:
maaf kalaw salah
If 12 = 2y, then y = 6. To solve this kind of equation, whatever you do to one side of the equation, you must do to the other, and it will remain equivalent. If you divide both sides by 2, you get 6 = y. Also, 2 * 6 = 12, a much easier way to find the answer.
An angle is produced at the <u>point</u> where two or more lines<em> meet</em>. Thus the <u>value</u> of LP required in the question is approximately 14.
Two<em> lines</em> are said to be <em>perpendicular</em> when a <u>measure</u> of the angle <u>between</u> them is a <em>right angle</em>. While <u>parallel</u> lines are lines that do not meet even when <u>extended</u> to <em>infinity</em>.
From the question, let the <u>length</u> of LP be represented by x.
Thus, from the given question, it can be <u>deduced </u>that;
LM ≅ PN = 20
KP = KN - PN
= 30 - 20
KP = 10
LP = x
Also,
<MLP is a right angle, so that;
< KLP = < KLM - <PLM
= 126 - 90
<KLP =
So that applying the Pythagoras theorem to triangle KLP, we have;
Tan θ =
Tan 36 =
x =
=
x = 13.765
Therefore the <em>side</em> LP ≅ 14.
For more clarifications on segments and angles, visit: brainly.com/question/4976881
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The equation given above is written here below with all the terms transposed to only one side of the equation.
2x² + 3x + 8 = 0
The quadratic formula used for the determination of the roots is,
x = (-b +/- sqrt (b² - 4ac)) / 2a
In the quadratic equation above, we have the numerical coefficients.
a = 2
b = 3
c = 8
Substituting the known values,
x = (-3 +/- sqrt (3² - 4(2)(8))/ (2)(2)
x = -0.75 + 1.854i and x = -0.75 - 1.854i
By the calculated roots above, it is known that the roots are imaginary.