Answer:
x ∈ (-oo ; - 1) ∪ (+ 2 ; +oo)
Step-by-step explanation:

x ∈ (+ 2 ; +oo)

x ∈ (-oo ; - 1)
x ∈ (-oo ; - 1) ∪ (+ 2 ; +oo)
If she goes 75 mph for 2 hours, that's 150 miles altogether. 45 mph for 1 hour is 45 miles, so 150 + 45 is 195 miles.
37k (cost of the materials for each kite) plus 28k (the labor for each kite) plus 6,000=x (the total cost). With this equation you can plug in any number of kites so...
37k+28k+6,000=x Combine like terms...
65k+6,000=x Plug in k...
65(170)+6,000=x Multiply...
11,050+6,000=x Add...
x=17,050
6 goes 4 times into 28 because 6 x 4 = 24
Answer:
The 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).
Step-by-step explanation:
Let <em>X</em> = number of boards that fall outside the most rigid level of industry performance specifications.
In a random sample of 300 boards the number of defective boards was 12.
Compute the sample proportion of defective boards as follows:

The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

The critical value of <em>z</em> for 95% confidence level is,

*Use a <em>z</em>-table.
Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).