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Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

5 0

Answer:

It is proportional

Step-by-step explanation:

The pool is being filled at a constant rate.

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If each data is increased by a constant K then find it's mean ?? answer fast pleaseeeeeeeeeee

MArishka [77]

Answer:

The mean is also increased by the constant k.

Step-by-step explanation:

Suppose that we have the set of N elements

{x₁, x₂, x₃, ..., xₙ}

The mean of this set is:

M = (x₁ + x₂ + x₃ + ... + xₙ)/N

Now if we increase each element of our set by a constant K, then our new set is:

{ (x₁ + k), (x₂ + k), ..., (xₙ + k)}

The mean of this set is:

M' = ( (x₁ + k) + (x₂ + k) + ... + (xₙ + k))/N

M' = (x₁ + x₂ + ... + xₙ + N*k)/N

We can rewrite this as:

M' = (x₁ + x₂ + ... + xₙ)/N + (k*N)/N

and (x₁ + x₂ + ... + xₙ)/N was the original mean, then:

M' = M + (k*N)/N

M' = M + k

Then if we increase all the elements by a constant k, the mean is also increased by the same constant k.

6 0

3 years ago

What is the equation of the following line you should scroll down to see all Answer options

lilavasa [31]

Given

Given

$\begin{gathered} points \\ (0,0)\text{ and }(15,3) \end{gathered}$ SolutionStep 1Find slope $Slope\text{ \lparen M\rparen=}\frac{y_2-y_1}{x_2-x_1}$ $\begin{gathered} x_1=0 \\ y_1=0 \\ x_2=15 \\ y_2=3 \end{gathered}$

Substitute the given points into the slope formula

$Slope(m)=\frac{3-0}{15-0}=\frac{3}{15}=\frac{1}{5}$ step 2Equation of a line $\begin{gathered} y=mx+b \\ m=\frac{1}{5} \\ x=0 \\ y=0 \\ \end{gathered}$ $\begin{gathered} 0=0(\frac{1}{3})+b \\ b=0 \end{gathered}$ Step 3 $y=\frac{1}{5}x$ The final answerOption B