Answer: y= 45 x and 1800 people
Step-by-step explanation:
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Answer:
y=x+12/4
Step-by-step explanation:
y=4x-12
x=4y-12 (then make y the subject)
x+12=4y(divide both sides by 4)
y=x+12/4
Answer:
More than 88.889% of the values will fall between 100 and 124 for the data set that has a mean of 112 and a standard deviation of 4.
Step-by-step explanation:
The Chebyshev's theorem states that the probability of any random variable ''X'' assuming a value between a range of ''k times'' the standard deviation is at least 
We can write mathematically this as :
P( μ - kσ < X < μ + kσ)
(I)
Where μ is the mean and σ is the standard deviation.
In this exercise :
μ = 112
σ = 4
If we replace this values in the equation (I) :

The percent of the values falling between 100 and 124 can be written as :
(II)
This probability must be equal to
(III)
Therefore if we work with (II) and (III) ⇒
(II) = (III) ⇒
⇒


⇒ In any of the equations we find that


Finally, we can write that

≅ 88.889%
According to Chebyshev's theorem, more than 88.889% of the values will fall between 100 and 124 for the data set.
The ratio of the area of the sector (S) to the area of the entire circle (C) is equal to the ratio of the angle subtended to form the sector (As) to the angle for the whole revolution (Ac)
S / C = As / Ac
Substituting the given,
S / 36 m² = 40 degrees / 360 degrees
Solving for S gives, S = 4. Thus, the area of the sector is 4 m².
in a survey of 825 farmers 125 of they were not using any type of fertilizers in their vegetable farming 150 of them were used in chemical as well as organic fertilizer the ratio of the number of any only chemical fertilizers user to the to that of only organic fertilizer is 5:6