Answer:
1.) .399
2.) {.369, .429}
Step-by-step explanation:
The proportion of criminals in this sample that were caught was 
=.39944, .399 rounded to three decimal places.
To construct the confidence interval, you need three pieces of information: the statistic, the critical value, and the standard error.
The statistic is given in the first part of the problem with the proportion of criminals in the sample that were caught was .399.
The critical value, we are told, is the z equivalent of 90%, or 1.645. You can find this value using a z table or with the inverse normal function on a calculator.
Finally, we need the standard error. The formula for standard error for a proportion with a single population is 
so in this situation it would be 
=.0183.
The confidence interval would be .399±.018×1.645 or .399±.030 {.369, .429}
Answer:
g=-16
Step-by-step explanation:
Answer:
Step-by-step explanation:
We are given the trigonometric equation of:
Let u = 4x then:
Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).
Convert u-term back to 4x:
Divide both sides by 4:
The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.
Therefore:
Answer:
Step-by-step explanation:
If you add a number that is negative, you are basically subtracting it.
This means that
Since they both have the same denominator, you can easily subtract the fractions: 
Answer:
6
Step-by-step explanation:
=4!/(4-2)!2!
=4x3x2x1/2x2
=12/2
=6
