Asurvey reported that 70% of those responding to a national survey of college freshmen were interested in taking summer courses. using the sample size of 49, calculate a 95% confidence interval for the proportion of college students who are interested in taking summer courses.

95% confidence interval: (0.5717,0.8283)          

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 49

p = 70% = 0.7

Alpha, α = 0.05

The confidence interval can be calculated as:

Putting the values, we get,

95% confidence interval: (0.5717,0.8283)      

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x