Answer: 2.511 lies in the rejection region, so we will reject the null hypothesis.
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Step-by-step explanation:
Since the null and alternate hypothesis are :
Since there is 0.05 level of significance,
So, there will be two tail test:
As we know that
z = -1.96 or z = 1.96
If the test statistic does not fall in the range of -1.96 to 1.96, we will reject the null hypothesis.
So, it becomes,
Since 2.511 lies in the rejection region, so we will reject the null hypothesis.
Hence, People does not seem to be representative of the Pet Food survey respondents.
First, make it easy for yourself by putting like terms together
-7x+8x+5>3
then, combine like terms
-7x+8x=1x
now you have this
1x+5>3
hope this helps!
Maury = 120/10 (12 calls/hour)
Tyra = 120/8 (15 calls/hour)
Together they are 27 calls per hour.
120 / 27 = 4.4444444444
So it'd take them 4.44444444 (recurring) hours to make 120 calls.
The problem you have written
![\sqrt[5]{x^{10}}/2](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E%7B10%7D%7D%2F2)
simplifies to
_____
If you intend
![\sqrt[5]{x^{10}/2}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E%7B10%7D%2F2%7D)
then you can multiply by the appropriate fraction to get your first answer choice.
![\displaystyle\sqrt[5]{\frac{x^{10}}{2}}=\frac{\sqrt[5]{x^{10}}}{\sqrt[5]{2}}\cdot\frac{\sqrt[5]{2^4}}{\sqrt[5]{2^4}}\\\\=\frac{x^{2}\sqrt[5]{16}}{\sqrt[5]{2^{5}}}=\bf{\frac{x^{2}\sqrt[5]{16}}{2}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csqrt%5B5%5D%7B%5Cfrac%7Bx%5E%7B10%7D%7D%7B2%7D%7D%3D%5Cfrac%7B%5Csqrt%5B5%5D%7Bx%5E%7B10%7D%7D%7D%7B%5Csqrt%5B5%5D%7B2%7D%7D%5Ccdot%5Cfrac%7B%5Csqrt%5B5%5D%7B2%5E4%7D%7D%7B%5Csqrt%5B5%5D%7B2%5E4%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7Bx%5E%7B2%7D%5Csqrt%5B5%5D%7B16%7D%7D%7B%5Csqrt%5B5%5D%7B2%5E%7B5%7D%7D%7D%3D%5Cbf%7B%5Cfrac%7Bx%5E%7B2%7D%5Csqrt%5B5%5D%7B16%7D%7D%7B2%7D%7D)
Answer: -60i
Step-by-step explanation:
(-3i) (4i) = -12i^2 = 12 because i^2 = -1
then lastly
12 (-5i) = -60i
