Answer:
The z-distribution should be used for this problem.
Step-by-step explanation:
The population distribution is assumed to be normal. Which distribution to use?
If we have the standard deviation for the sample, we use the t-distribution.
If we use the standard deviation for the population, we use the z-distribution.
There is a known standard deviation of 2.2 minutes.
This means that 2.2 is the population standard deviation, and thus, the z-distribution should be used for this problem.
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x and y are the packs of organic and inorganic fertilizer, respectively.
pounds of nitrogen added = 2x + 6y = 120
pounds of potassium added = 3x + 2y = 54
eliminate the y terms. subtract the first equation from 3 times the second equation.
9x + 6y = 162
-2x - 6y = -120
------------------
7x = 42
x = 6
y = 18
Step-by-step explanation:
:)..................
Answer:
The constant of proportionality is 
Step-by-step explanation:
The constant of proportionality is the ratio between two directly proportional quantities
- If x and y are in directly proportion, then
, where k is the constant of proportionality.
- The direct proportion can be represented by a line whose equation is y = kx, where k is the slope of the line.
<em>To find the constant of proportionality from the given graph choose a point on the line and substitute x and y in the equation of the proportionality by the coordinates of the point.</em>
∵ Point (4, 18) lies on the line
∴ x = 4, y = 18
∵ The equation is y = kx
→ Substitute x by 4 and y by 18
∴ 18 = k(4)
∴ 18 = 4k
→ Divide both sides by 4 to find k
∴ 
∴ 
→ Simplify the fraction by dividing up and down by 2
∴ 
∴ The constant of proportionality is
