1. Solve and then graph the solution. 12x18x1 AND 5+6x8x+1

Draw the inequality line

2. Solve each of the given compound inequalities. Enter your answers in interval notation. 4x3<1 or 6x7<79 Solution:

3. A clinical trial testing a new drug found that of 496 individuals in the experimental group that 278 had a good outcome. This p^ is a point estimate for all individuals in the population who will have good outcome if they are administered the new drug. What is the point estimate, p^? Round to 3 decimal places, if necessary. ____________

The standard error of this experiment is 0.022.

Compute a 95% confidence interval for all individuals in the population who will have a good outcome if they are administered the new drug. Remember to calculate a confidence interval you utilize: point estimate z*standard error

You may want to use this table to find z

Fill in the blanks: _______________ __________ _____________

Resulting in a confidence interval of (________,_________)

Keep the interval as a decimal rounded to 3 decimal spots, not a percent.

4. The formula v=2.7r models the maximum safe speed, v, in miles per hour, at which a car can travel on a curved road with radius of curvature r, in feet. A highway crew measures the radius of curvature at an exit ramp on a highway as 610 feet. What is the maximum safe speed? For this problem, round your answer DOWN to the nearest whole number. (Think: Why is this type of rounding appropriate for this scenario?) max safe speed ___________

5. A certain year, 31.2% of Associate degrees awarded in the Utah System of Higher Education (USHE) are awarded from Salt Lake Community College. Describe the sampling distribution if 51 degrees in USHE are randomly sampled. In your calculations use your standard error rounded to 3 decimal places. Describe the sampling distribution of p^. Center: mean=

Write answer as a decimal.

Spread: SEp=

Round to 3 decimal places

Assume the sampling distribution satisfies criteria and is approximately normal. Round to 4 decimal places.

Find P(p>0.35)=

Find P(p<0.23)=