Answer:
Please find attached pdf
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given expression is:
![(\sqrt[8]{x^7} )^{6}](https://tex.z-dn.net/?f=%28%5Csqrt%5B8%5D%7Bx%5E7%7D%20%29%5E%7B6%7D)
First we will use the rule:
![\sqrt[n]{x} = x^{\frac{1}{n} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7Bn%7D%20%7D)
So for the given expression:
![\sqrt[8]{x^{7}}=(x^{7} )^{\frac{1}{8} }](https://tex.z-dn.net/?f=%5Csqrt%5B8%5D%7Bx%5E%7B7%7D%7D%3D%28x%5E%7B7%7D%20%29%5E%7B%5Cfrac%7B1%7D%7B8%7D%20%7D)
We will use tha property of multiplication on powers:
Applying the outer exponent now
1. <span>Set up the long division.
</span>
<span>245/7</span>
2. <span>Calculate 700 ÷ 245, which is 2 with a remainder of 210.
</span>
<span><span>0.02</span><span>245/7.</span><span>4.90</span><span>2.10</span></span>
3. <span>Bring down 0, so that 2100 is large enough to be divided by 245.
</span>
<span><span>0.02</span><span>245|/.</span><span>4.90</span><span>2.100</span></span>
4. <span>Calculate 2100 ÷ 245, which is 8 with a remainder of 140.
</span>
<span><span>0.028</span><span>245|/.</span><span>4.90</span><span>2.100</span><span>1.960</span><span>140</span></span>
5. <span>Bring down 0, so that 1400 is large enough to be divided by 245.
</span>
<span><span>0.028</span><span>245/7.</span><span>4.90</span><span>2.100</span><span>1.960</span><span>1400</span></span>
6. <span>Calculate 1400 ÷ 245, which is 5 with a remainder of 175.
</span>
<span><span>0.0285</span><span>245|7.</span><span>4.90</span><span>2.100</span><span>1.960</span><span>1400</span><span>1225</span><span>175</span></span>
7. <span>Therefore, 7 divided by 245 approximately equals 0.0285
</span><span><span>7÷245≈0.0285</span></span>
8. <span>Simplify
</span><span><span><span>0.0285 <------------- Answer :) </span></span>
</span>
Given :
p = 0.68
margin of error, E = 0.1
99% confident interval
alpha, α = 1 - 0.99
= 0.01
∴ 
(z-critical value)
Sample size = 
= 144.37
= 145 (rounded off)
Therefore, there are 145 businesses does she need to sample to meet this criteria.
In this question, you are given an equation with < (less than) sign. You can solve this equation and treat the less than sign same as an equal sign. The only difference is when you mirroring the equation or multiplying both sides with minus, which will change the direction of the sign. The calculation should be:
-24 < x-3 -8 x
-24 +3 < x - 8x
-21 < -7x
-21/-7 <x
3 <x
x>3
The answer is D.×>3
