Given

We have to set the restraint

because a square root is non-negative, and thus it can't equal a negative number. With this in mind, we can square both sides:

The solutions to this equation are 7 and -2. Recalling that we can only accept solutions greater than or equal to -1, 7 is a feasible solution, while -2 is extraneous.
Similarly, we have

So, we have to impose

Squaring both sides, we have

The solutions to this equation are 5 and 10. Since we only accept solutions greater than or equal to 7, 10 is a feasible solution, while 5 is extraneous.
Answer:
1: 16
2: 27
4: 100
7: 1.728
10: 64
Just some of the answers
Step-by-step explanation:
Answer:
Given confidence interval is 0.54+or-0.05
0.54-0.05,0.54+0.05 =
(0.49,0.59)
In repeated sampling,the true proportion of country residents in favor of offering incentives to high-tech industries to build plants in the country will fall in the interval (0.49,0.59)
You know how decimals are really long to write, like 0.00000000089? Well, with scientific notation, you can shorten them. Take the decimal I wrote for instance. Using scientific notation, I can change it to 8.9 * 10^-10. The decimal is shortened, and according to the exponent, 10^-10, we move the decimal place for 8.9 to the left ten places, leaving us with 0.00000000089.