Here is the histogram of a data distribution. All class widths are 1.

Mathematics

1 answer:

Pachacha [2.7K]2 years ago

5 0

The correct answer is option B which is 3

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

Given data:-

4,3,2

The mean will be calculated as:-

Mean = (4 + 3 + 2) / 3

Mean = 9 / 3

Mean = 3

Therefore the correct answer is option B which is 3

To know more about mean follow

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Laplace Transform f(t) = cos(t), 0 ≤ t < π 0, t ≥ π Complete the integral(s) that defines ℒ{f(t)}. ℒ{f(t)} = π dt + [infinity

tensa zangetsu [6.8K]

Answer:

L[f(t)=s/(1+s^2)]

Step-by-step explanation:

The Laplace Transform is given by the integral:

$L[f(t)]=\int_0^\infty e^{-st}\ f(t)dt$

by replacing f(t)=cost we get

$\int_0^{\infty} e^{-st}costdt=[e^{-s(\infty)}sin(\infty)-1sin(0)]-s\int_{0}^{\infty}e^{-st}sintdt\\\\=0+s[-e^{-s(\infty)}cos(\infty)+e^{s(0)}cost(0)-s\int_0^{\infty}e^{-st}costdt]\\\\=0+s[0+1-s\int_0^{\infty}e^{-st}costdt]=s-s^2\int_0^{\infty}e^{-st}costdt\\\\(1+s^2)\int_0^{\infty}e^{-st}costdt=s\\\\\int_0^{\infty}e^{-st}costdt=\frac{s}{1+s^2}$

hope this helps!!

6 0

4 years ago

Find 4 consecutive even numbers whose sum is 156?

faust18 [17]

X + (x + 2) + (x + 4) + (x + 6) = 156
   x + x + x + x + 2 + 4 + 6 = 156
       4x + 12 = 156
   - 12   - 12
   4x = 144
      4 4
   x = 36
   x = 36
x + 2 = 38
x + 4 = 40
x + 6 = 42

3 0

3 years ago

Please help me with this question too. Please and Thank you!

sasho [114]

S=-4r-2 tell me if I'm wrong cuz I'm not very great a math but I want to try the question out

4 0

3 years ago

Find the slope of line that passes through the points (4,-6) and (7,2)

BartSMP [9]

Answer:

8/3

Step-by-step explanation: