College students and stds: a recent report estimated that 25% of all college students in the united states have a sexually transmitted disease (std). due to the demographics of the community, the director of the campus health center believes that the proportion of students who have a std is lower at his college. he tests h0: p = 0.25 versus ha: p < 0.25. the campus health center staff select a random sample of 50 students and determine that 18% have been diagnosed with a std. is the sample size condition for conducting a hypothesis test for a population proportion satisfied? a. no, because (50)(0.18) is less than 10. because of this the sample size is too small to use the normal distribution to model the distribution of sample proportions. b. no, because 50 students is not enough to be representative of the students at the collegec. yes, because the sample is random. it represents the college students at this campus. d. yes, because () and (50)(1 ? 0.25) are both at least 10. this means we can use the normal distribution to model the distribution of sample proportions.

Which statement is true about a number and its additive inverse? a. their product is always one. b. their sum is always one. c. they are always reciprocals of each other. d. their sum is always zero.

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).

Tom drove 206 miles in 3.9 hours. estimate his average speed.