Isn't it 5? x=5 cause the model's height is 4 less than the width so like if the actual width is 9 than the height is 4 smaller
Answer:
2x^2 is not equivalent
Step-by-step explanation:
3x = 3x
2x^2 = 2x^2
X(2+1) = 3x
2x + x = 3x
the odd one out is 2x^2
The product is 60.
We start out with the information we have. This forms a right triangle, with one leg being 24, the other leg x, and the hypotenuse 30. Using the Pythagorean theorem we have
x²+24²=30²
x²+576=900
Subtract 576 from both sides:
x²+576-576 = 900-576
x²=324
Take the square root of each side:
√x²=√324
x=18
We know that the formula for the volume of a triangular prism is V=(1/2bh)H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism. Substituting our known information we have:
720=(1/2*18*24)y
720=216y
Divide both sides by 216:
720/216 = 216y/216
3 1/3 = y
This means the product of x and y would be:
18(3 1/3)
18(10/3)
180/3
60
1 square inch = 2.54^2 = 6.4516 square cms
So 5.60 in^2 = 6.60 * 6.4516 = 36.13cm^2 to nearest hundredth
Recall that the PDF is given by the derivative of the CDF:
The mean is given by
![\mathbb E[X]=\displaystyle\int_{-\infty}^\infty x\,f_X(x)\,\mathrm dx=\int_0^2\left(x-\dfrac{x^2}2\right)\,\mathrm dx=\frac23](https://tex.z-dn.net/?f=%5Cmathbb%20E%5BX%5D%3D%5Cdisplaystyle%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty%20x%5C%2Cf_X%28x%29%5C%2C%5Cmathrm%20dx%3D%5Cint_0%5E2%5Cleft%28x-%5Cdfrac%7Bx%5E2%7D2%5Cright%29%5C%2C%5Cmathrm%20dx%3D%5Cfrac23)
The median is the number
such that
. We have
but both roots can't be medians. As a matter of fact, the median must satisfy
, so we take the solution with the negative root. So
is the median.
