Step-by-step explanation:
y and x are proportional:
y = kx
When x is 29, y is 275.5.
275.5 = 29k
k = 9.5
y = 9.5x. When y is 408.5:
408.5 = 9.5x
x = 43
A relationship that can be modeled as a line that passes through the origin (y = kx) is a proportional relationship.
Alice should buy 1.36 kilograms of veal.
Step-by-step explanation:
Given,
According to store's scale;
2.20 pounds = 1 kilogram
1 pound = 
As Alice wants to buy 3 pounds, therefore,
3 pounds = 

Alice should buy 1.36 kilograms of veal.
Keywords: unit rate, fractions
Learn more about fractions at:
#LearnwithBrainly
Answer:
(a) 0.1414
(b) 0.1010
Step-by-step explanation:
(a)
The density curve is rectangular in shape.
This implies that the distribution of donations is Uniform.
(b)
Compute the probability of donations at least 85 cents as follows:

![=\frac{1}{99}\times [x]^{99}_{85}\\\\=\frac{99-85}{99}\\\\=0.1414\\\\](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B99%7D%5Ctimes%20%5Bx%5D%5E%7B99%7D_%7B85%7D%5C%5C%5C%5C%3D%5Cfrac%7B99-85%7D%7B99%7D%5C%5C%5C%5C%3D0.1414%5C%5C%5C%5C)
Thus, the proportion of donations that are at least 85 cents is 0.1414.
(b)
Compute the probability of donations between 30 and 40 cents as follows:

![=\frac{1}{99}\times [x]^{40}_{30}\\\\=\frac{40-30}{99}\\\\=0.1010](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B99%7D%5Ctimes%20%5Bx%5D%5E%7B40%7D_%7B30%7D%5C%5C%5C%5C%3D%5Cfrac%7B40-30%7D%7B99%7D%5C%5C%5C%5C%3D0.1010)
Thus, the probability of donations between 30 and 40 cents is 0.1010.
Answer:
The length of the border is approximately 4 feet.
Step-by-step explanation:
Since the garden has a circular border we can apply the formula for the circle's length, which is shown below:

Where the radius is half the diameter. The diameter is the distance between two points in the circle going through the center, therefore for this garden the diameter is 1.2 feet and the radius is 0.6 feet. Applying this to the formula gives us:

The length of the border is approximately 4 feet.