For the reciprocal, you swap numerator and denominator.
a. The reciprocal of

is

To rationalize the irrational denominator, multiply numerator and denominator by the radical, then simplify.

b.
When we divide we get answer as 280
Answer:
832 beats
Step-by-step explanation:
56/7 = 8 beats per measure
104 x 8
832
y > -(1/2) x + 5 and y ≤ 3x - 2
(5,3):
3 >? -(1/2)(5) + 5 = 5-5/2 = 5/2; that's true
3 ≤ 3(5) - 2 = 13; that's true
(4,3)
3 >? -(1/2)4 +5 = 5 - 2 = 3; that's false
Answer: 2) (4,3)
Let's check the rest.
(3,4)
4 >? -(1/2)(3) + 5 = 5 - 3/2 = 7/2, true
4 ≤ 3(3) - 2 = 7, true
(4,4)
4 >? -(1/2)(4) + 5 = 5 - 2= 3, true
4 ≤ 3(4) - 2 = 10, true
Answer seems right.
Answer:
The 99% confidence interval for the true mean amount of time Americans spend social networking each day is (3.02 hours, 3.36 hours).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean when the population standard deviation is not known is:

The information provided is:

Confidence level = 99%.
Compute the critical value of <em>t</em> for 99% confidence interval and (n - 1) degrees of freedom as follows:

*Use a <em>t</em>-table.
Compute the 99% confidence interval for the true mean amount of time Americans spend social networking each day as follows:


Thus, the 99% confidence interval for the true mean amount of time Americans spend social networking each day is (3.02 hours, 3.36 hours).