Suppose 27% of all small businesses are owned by a particular group of people. In a random sample of 300 small businesses, let x be the number owned by that group. 1. Find the mean of x. 2. Find the standard deviation of x. 3. Find the z-score for the value x = 99.5. 4. Find the approximate probability that, in a sample of 300, x is 100 or more. a. The mean of x is about b. The standard deviation of x is about (Round to three decimal places as needed.) c. The z-score is about (Round to two decimal places as needed.) d. The probability is approximately (Round to four decimal places as needed.)

Use the inverse of the function y=x^2-18x to find the unknown value [tex]y = \sqrt{bx + c \: + d} [/tex]

What can you determine about the solutions of this system

Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. here are data on the "penetrability" of the same type of soil at two levels of compression. penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. compressed soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 intermediate soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 use the data, omitting the high outlier, to give a 95% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. compute degrees of freedom using the conservative method. interval: to