Answer:
95% confidence interval: (0.325 ,0.383)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 231
Sample mean = 0.354 ppm
Sample standard deviation = 0.231 ppm
95% confidence interval:
Putting the values, we get,
The given expression is

We can write 8 as cube of 2, 16 ad fourth power of 2, 12 as square of 2 times 3 and 81 as fourth power of 3, that is

In case of two powers, we have to multiply them.

Simplifying the exponent, will give

Combining like terms,

Answer:
☐ -2 < 2x + 4
☐ -3x - 2 > 5
Step-by-step explanation:
-3x - 2 > 5
+ 2 + 2
___________
-3x > 7
___ ___
-3 -3
x < -2⅓ [Anytime you <em>divide</em> or <em>multiply</em> by a negative, reverse the inequality symbol.]
-2 < 2x + 4
-4 - 4
___________
-6 < 2x
__ ___
2 2
-3 < x
If you plug in -3 for <em>x < -2</em><em>⅓</em><em>,</em><em> </em>you will see that it is a genuine statement because the more higher a negative gets, the lesser the integer will be, so in this case, -3 IS <em>less</em><em> </em><em>than</em><em> </em>-2⅓.
I am joyous to assist you anytime.
** If it is not multi-select, then choose <em>-2 < 2x + </em><em>4</em><em>.</em>
Answer:

Step-by-step explanation:
The function is
where x is the number of bottles of soda.
The domain means the set of "allowed" x values.
Also, f(x) means the amount of money left, which cannot be less than 0. So we put 0 into f(x) and solve for x:

This means the highest number of bottles you can buy is 10. So the domain is anything from 0 to 10. <em>You can buy 0 until highest 10 bottles. Hence the domain is </em>

The volume of a sphere is:
(4/3) * pi * r^3
Plug in the values:
(4/3) * 3.14 * 5^3 is about 523.3 cm cubed.
The answer is (B), 523.3 cm cubed.