Step-by-step explanation:m okay so the answer is 56 x= 56
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.
The new square has length: 10 + l, where l is the original length of the square, and it's area is (10 + l)^2;
So, we solve the equation: 3 x l^2 = (10 + l)^2;
Then, 3 x l^2 = 100 + 20 x l + l^2;
Finally, 2xl^2 - 20xl - 100 = 0; / ÷2;
l^2 - 10l - 50 = 0 (we use the quadratic equation formula);
The only positive solution is l = 5(1+ \sqrt{3} );
If you mean rounded to the nearest tens place, then the answer is 1,058,204,550, if you are asking for rounding the tenths place, then its already answered, but if you need it to the tenths place, then the number would be: <span>1,058,204,545.0 as that zero is the tenths place.</span>
Answer:
900
50+10x; At least 85 hours
Step-by-step explanation:
Nick must make at least 900 dollars, so the amount he has + earns must be greater than or equal to 900 in order to walk out of the store with it.
50 is the amount that Nick already has, and add that to 10x, which gives $10 for every x hour.
To solve, subtract 50 from each side.
850
10x
Divide by 10 to solve for x:
85
x
Nick must work at least 85 hours.