Answer:
I think it is 149,600,000.
Step-by-step explanation:
If the 8 is supposed to be the exponent. Then you move the decimal 8 times to the right.
Answer:
Answer: 45
Step-by-step explanation:
Well it seems like your answer would follow along with is:
`18x2.5=45
Hope this helps good sir!
There's nothing preventing us from computing one integral at a time:
![\displaystyle \int_0^{2-x} xyz \,\mathrm dz = \frac12xyz^2\bigg|_{z=0}^{z=2-x} \\\\ = \frac12xy(2-x)^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint_0%5E%7B2-x%7D%20xyz%20%5C%2C%5Cmathrm%20dz%20%3D%20%5Cfrac12xyz%5E2%5Cbigg%7C_%7Bz%3D0%7D%5E%7Bz%3D2-x%7D%20%5C%5C%5C%5C%20%3D%20%5Cfrac12xy%282-x%29%5E2)
![\displaystyle \int_0^{1-x}\int_0^{2-x}xyz\,\mathrm dz\,\mathrm dy = \frac12\int_0^{1-x}xy(2-x)^2\,\mathrm dy \\\\ = \frac14xy^2(2-x)^2\bigg|_{y=0}^{y=1-x} \\\\= \frac14x(1-x)^2(2-x)^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint_0%5E%7B1-x%7D%5Cint_0%5E%7B2-x%7Dxyz%5C%2C%5Cmathrm%20dz%5C%2C%5Cmathrm%20dy%20%3D%20%5Cfrac12%5Cint_0%5E%7B1-x%7Dxy%282-x%29%5E2%5C%2C%5Cmathrm%20dy%20%5C%5C%5C%5C%20%3D%20%5Cfrac14xy%5E2%282-x%29%5E2%5Cbigg%7C_%7By%3D0%7D%5E%7By%3D1-x%7D%20%5C%5C%5C%5C%3D%20%5Cfrac14x%281-x%29%5E2%282-x%29%5E2)
![\displaystyle\int_0^1\int_0^{1-x}\int_0^{2-x}xyz\,\mathrm dz\,\mathrm dy\,\mathrm dx = \frac14\int_0^1x(1-x)^2(2-x)^2\,\mathrm dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_0%5E1%5Cint_0%5E%7B1-x%7D%5Cint_0%5E%7B2-x%7Dxyz%5C%2C%5Cmathrm%20dz%5C%2C%5Cmathrm%20dy%5C%2C%5Cmathrm%20dx%20%3D%20%5Cfrac14%5Cint_0%5E1x%281-x%29%5E2%282-x%29%5E2%5C%2C%5Cmathrm%20dx)
Expand the integrand completely:
![x(1-x)^2(2-x)^2 = x^5-6x^4+13x^3-12x^2+4x](https://tex.z-dn.net/?f=x%281-x%29%5E2%282-x%29%5E2%20%3D%20x%5E5-6x%5E4%2B13x%5E3-12x%5E2%2B4x)
Then
![\displaystyle\frac14\int_0^1x(1-x)^2(2-x)^2\,\mathrm dx = \left(\frac16x^6-\frac65x^5+\frac{13}4x^4-4x^3+2x^2\right)\bigg|_{x=0}^{x=1} \\\\ = \boxed{\frac{13}{240}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac14%5Cint_0%5E1x%281-x%29%5E2%282-x%29%5E2%5C%2C%5Cmathrm%20dx%20%3D%20%5Cleft%28%5Cfrac16x%5E6-%5Cfrac65x%5E5%2B%5Cfrac%7B13%7D4x%5E4-4x%5E3%2B2x%5E2%5Cright%29%5Cbigg%7C_%7Bx%3D0%7D%5E%7Bx%3D1%7D%20%5C%5C%5C%5C%20%3D%20%5Cboxed%7B%5Cfrac%7B13%7D%7B240%7D%7D)
Answer:
<em>option</em><em> </em><em>A </em><em>is </em><em>correct</em><em> </em><em>!</em>
<em>hope </em><em>this </em><em>answer </em><em>helps </em><em>you </em><em>dear.</em><em>.</em><em>.</em><em>take </em><em>care!</em>
Answer:
Probabilities
Likely to happen (L) Unlikely to happen (U)
a. 4/5 5/8
b. 3/5 3/8
c. 4/5 4/7
d. 0.3 0.09
e. 5/6 and 4/5 2/3
Step-by-step explanation:
Probabilities in Percentages:
a. The probability of 4/5 = 80% and 5/8 = 62.5%
b. The probability of 3/8 = 37.5% and 3/5 = 60%
c. The probability of 4/5 = 80% and 4/7 = 57%
d. The probability of 0.3 = 30% and 0.09 = 9%
e. The probability of 2/3 = 67% and 4/5 = 80% and 5/6 = 83%
b) To determine the relative values of the fractional probabilities, it is best to reduce them to their fractional or percentage terms. When this is done, the relative sizes become obvious, and then, comparisons can be made.