Answer:
9.4
Step-by-step explanation:
We can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2+8^2 = c^2
25 +64 = c^2
89 = c^2
Taking the square root of each side
sqrt(89) = sqrt(c^2)
9.433981132 = c
To the nearest tenth
9.4
Answer:
![4 \sqrt{2}](https://tex.z-dn.net/?f=4%20%5Csqrt%7B2%7D)
Step-by-step explanation:
Rewrite 32 as the product of 16 and 2:
![\implies \sqrt{32}=\sqrt{16 \cdot 2](https://tex.z-dn.net/?f=%5Cimplies%20%5Csqrt%7B32%7D%3D%5Csqrt%7B16%20%5Ccdot%202)
Apply exponent rule ![\sqrt{a \cdot b}=\sqrt{a}\sqrt{b}](https://tex.z-dn.net/?f=%5Csqrt%7Ba%20%5Ccdot%20b%7D%3D%5Csqrt%7Ba%7D%5Csqrt%7Bb%7D)
![\implies \sqrt{16 \cdot 2}=\sqrt{16}\sqrt{2}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csqrt%7B16%20%5Ccdot%202%7D%3D%5Csqrt%7B16%7D%5Csqrt%7B2%7D)
Rewrite 16 as 4²:
![\implies \sqrt{16}\sqrt{2}=\sqrt{4^2}\sqrt{2}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csqrt%7B16%7D%5Csqrt%7B2%7D%3D%5Csqrt%7B4%5E2%7D%5Csqrt%7B2%7D)
Apply exponent rule ![\sqrt{a^2}=a](https://tex.z-dn.net/?f=%5Csqrt%7Ba%5E2%7D%3Da)
![\implies \sqrt{4^2}\sqrt{2}=4 \sqrt{2}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csqrt%7B4%5E2%7D%5Csqrt%7B2%7D%3D4%20%5Csqrt%7B2%7D)
Answer: Option 'E' is correct.
Step-by-step explanation:
Marginal utility is the addition utility derived from each successive unit of a particular good.
so, marginal utility is the change in utility from consuming an addition unit of a good or service.
Mathematically, it is expressed as
![MU=\dfrac{\Delta TU}{\Delta Q}](https://tex.z-dn.net/?f=MU%3D%5Cdfrac%7B%5CDelta%20TU%7D%7B%5CDelta%20Q%7D)
Hence, Option 'E' is correct.
(-5,6) (-5,-6) (4,-6)
I hope it helps you!!
1) The probability of getting a queen is 187/10000 which is 0.0187 = 1.87%
2) The probability is 449 / 479 which is 0.937 = 93.7%
You may need to round the answers. It doesn't say if they need to be rounded or not.