What are you trying to ask there is not question
Answer:
No not necessarily.
Answered by the one and only, Tony Stank from Earth 17.
Answer: The constant of proportionality that relates the number of cups with x and the number of cookies with y is 16
The given parameters are:
Cups (x) = 3
Cookies (y) = 48
Represent the number of cups with x and the number of cookies with y.
So, the constant of proportionality (k) is calculated using:
The above equation becomes
Divide 48 by 3
Hence, the constant of proportionality is 16
Explanation:
The benefit of starting retirement saving early is that your money that is saved or invested for longer is one that has more time to grow.
<h3>What is the benefit to saving early for retirement?</h3>
The more a person invest and the earlier they start it, the better your retirement savings will be and also one will have a lot of more time and the money will have potential to grow.
Hence, The benefit of starting retirement saving early is that your money that is saved or invested for longer is one that has more time to grow.
Learn more about retirement saving from
brainly.com/question/25707827
#SPJ1
Based the density function of the observed outcome, the probability
is equal to 0.1388.
<h3>What is a density function?</h3>
A density function can be defined as a type of function which is used to represent the density of a continuous random variable that lies within a specific range.
Given the following density function:
![f(x)=\left \{ {{2(1-x),\;0 < x < 1} \atop {0,\; otherwise}} \right.](https://tex.z-dn.net/?f=f%28x%29%3D%5Cleft%20%5C%7B%20%7B%7B2%281-x%29%2C%5C%3B0%20%3C%20x%20%3C%201%7D%20%5Catop%20%7B0%2C%5C%3B%20otherwise%7D%7D%20%5Cright.)
Next, we would calculate
;
![P(x\leq \frac{1}{3} )=\int\limits^\frac{1}{3} _0 {f(x)} \, dx \\\\P(x\leq \frac{1}{3} )=2 \int\limits^\frac{1}{3} _0 {(1-x)} \, dx \\\\P(x\leq \frac{1}{3} )=2|x-\frac{x^2}{2} |\limits^\frac{1}{3} _0\\\\P(x\leq \frac{1}{3} )=2[\frac{1}{3} -\frac{1}{2} (\frac{1}{3})^2]\\\\P(x\leq \frac{1}{3} )=2[\frac{1}{3} -\frac{1}{18}]\\\\P(x\leq \frac{1}{3} )=0.1388](https://tex.z-dn.net/?f=P%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D%5Cint%5Climits%5E%5Cfrac%7B1%7D%7B3%7D%20_0%20%7Bf%28x%29%7D%20%5C%2C%20dx%20%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D2%20%5Cint%5Climits%5E%5Cfrac%7B1%7D%7B3%7D%20_0%20%7B%281-x%29%7D%20%5C%2C%20dx%20%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D2%7Cx-%5Cfrac%7Bx%5E2%7D%7B2%7D%20%7C%5Climits%5E%5Cfrac%7B1%7D%7B3%7D%20_0%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D2%5B%5Cfrac%7B1%7D%7B3%7D%20-%5Cfrac%7B1%7D%7B2%7D%20%28%5Cfrac%7B1%7D%7B3%7D%29%5E2%5D%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D2%5B%5Cfrac%7B1%7D%7B3%7D%20-%5Cfrac%7B1%7D%7B18%7D%5D%5C%5C%5C%5CP%28x%5Cleq%20%5Cfrac%7B1%7D%7B3%7D%20%29%3D0.1388)
Read more on probability here: brainly.com/question/25870256