I assume there are some plus signs that aren't rendering for some reason, so that the plane should be
.
You're minimizing
subject to the constraint
. Note that
and
attain their extrema at the same values of
, so we'll be working with the squared distance to avoid working out some slightly more complicated partial derivatives later.
The Lagrangian is
Take your partial derivatives and set them equal to 0:
Adding the first three equations together yields
and plugging this into the first three equations, you find a critical point at
.
The squared distance is then
, which means the shortest distance must be
.
Answer:
184
Step-by-step explanation:
convert percentage into decimal:
40% = 40/100 = 0.4
Therefore 40% of 460 = 0.4 x 460 = 184
The probability of being 25-35 years and having a haemoglobin level above 11 is 34%.
The probability of having a haemoglobin level above 11 is 36%.
Being 25-35 years and having a hemoglobin level above 11 are not dependent on each other.
<h3>What are the probabilities?
</h3>
Probability determines the odds that a random event would occur. The odds of the event happening lie between 0 and 1.
The probability of being 25-35 years and having a haemoglobin level above 11 = number of people between 25 - 35 that have a level above 11 / total number of people between 25 - 35
44 / 128 = 34%
The probability of having a haemoglobin level above 11 = number of people with a level above 11 / total number of respondents
153 / 429 = 36%
To learn more about probability, please check: brainly.com/question/13234031
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Answer:
650
Step-by-step explanation:
lets say the # of standard version is x and the # of high-quality version is y
x+y=1060
2.5x+4.8y=3593
solve the system
y=410
x=650
Answer:
0
Step-by-step explanation:
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
+0
+1
+2
+3
+4
+5
+6
+7
+8
+9
+10
