Answer:
Step-by-step explanation:
From the given data
we observed that the missile testing program
Y1 and Y2 are variable, they are also independent
We are aware that
have
distribution with 1 degree of freedom
and
has x^2 with 2 degree of freedom
![F_v(v)=\frac{e^{-\frac{v}{2}}}2](https://tex.z-dn.net/?f=F_v%28v%29%3D%5Cfrac%7Be%5E%7B-%5Cfrac%7Bv%7D%7B2%7D%7D%7D2)
Since we have to find the density formula
![U=\sqrt{V}](https://tex.z-dn.net/?f=U%3D%5Csqrt%7BV%7D)
We use method of transformation
![h(V)=\sqrt{U}\\\\=U](https://tex.z-dn.net/?f=h%28V%29%3D%5Csqrt%7BU%7D%5C%5C%5C%5C%3DU)
There inverse function is ![h^-^1(U)=U^2](https://tex.z-dn.net/?f=h%5E-%5E1%28U%29%3DU%5E2)
We derivate the fuction above with respect to u
![\frac{d}{du} (h^-^1(u))=\frac{d}{du} (u^2)\\\\=2u^2^-^1\\\\=2u](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdu%7D%20%28h%5E-%5E1%28u%29%29%3D%5Cfrac%7Bd%7D%7Bdu%7D%20%28u%5E2%29%5C%5C%5C%5C%3D2u%5E2%5E-%5E1%5C%5C%5C%5C%3D2u)
Therefore,
![F_v(u)=F_v(h-^1)(u)\frac{dh^-^1}{du} \\\\=\frac{e^-\frac{u^-^}{2} }{2} (2u)\\\\=e^-{\frac{u^2}{2} }U](https://tex.z-dn.net/?f=F_v%28u%29%3DF_v%28h-%5E1%29%28u%29%5Cfrac%7Bdh%5E-%5E1%7D%7Bdu%7D%20%5C%5C%5C%5C%3D%5Cfrac%7Be%5E-%5Cfrac%7Bu%5E-%5E%7D%7B2%7D%20%7D%7B2%7D%20%282u%29%5C%5C%5C%5C%3De%5E-%7B%5Cfrac%7Bu%5E2%7D%7B2%7D%20%7DU)
Complete question :
John and Kamira are playing a game. John's score (J) and Kamira's score (K) after round 1 are shown on the number line.
The score recorded at the end of the first round is 2.
What could this score represent?
Options :
the sum of John's score and Kamira's score
the difference between John's score and Kamira's score
the absolute value of the difference of John's score and Kamira's score
the sum of the absolute value of John's score and the absolute value of Kamira's score
Answer:
the sum of John's score and Kamira's score
Step-by-step explanation:
Given that :
The score recorded at the end of the round is 2
From the attached number line :
John's score = - 5
Kamira's score = 7
Sum = - 5 + 7 = 2
Difference = - 5 - 7 = - 12
Sum of absolute value = 5 + 7 = 12
absolute value of difference = 12
Answer:
Marcos height is 63 inches. Marcos height is 3 inches less than 1.5 times Jennifer’s height.
What is Jennifer height in inches
A: 40in
B : 44in
C: 64.5in
D 58.5in
The answer is 44in(B)
Step-by-step explanation:
Hope this helps :D
<span><span> combine like terms4ln(x) = 8
</span><span>divide both sides by 4.ln(x) = 2
</span><span>exponentiate both sides.<span>eln(x) = e^2</span>
</span><span>inverse property of exponents and logs <span>x = e^<span>2
pls return favor and answer question in profile pls
</span></span></span></span>
We are given : $168 raised for washing 24 cars and $280 raised for washing 40 cars.
We know the rate formula.
Rate = Total amount ÷ Total numbers.
Let us find value of each rate for the given problem.
Rate 1: Total amount ÷ Total numbers = $168 ÷ 24 = $7.
Rate 2: Total amount ÷ Total numbers = $280 ÷ 40 = $7.
We can clearly see that Rate 1 is equal to Rate 2, that is $7.
So, we can say rates are equivalent.