Ateam t-shirt costs $3 per adult and $2 per child. on a certain day, the total number of adults (a) and children (c) who bought shirts was 100, and the total money collected was $275. which of the following options represents the number of children and the number of adults who purchased team shirts that day, and the pair of equations that can be solved to find the numbers? (4 points)

a.75 children and 25 adults
equation 1: a + c = 100
equation 2: 3a – 2c = 275

b.75 children and 25 adults
equation 1: a + c = 100
equation 2: 3a + 2c = 275

c.25 children and 75 adults
equation 1: a + c = 100
equation 2: 3a – 2c = 27

d.25 children and 75 adults
equation 1: a + c = 100
equation 2: 3a + 2c = 275

Acell phone company offers two plans to its subscribers. at the time new subscribers sign up, they are asked to provide some demographic information. the mean yearly income for a sample of 40 subscribers to plan a is $45,000 with a standard deviation of $9,200. for a sample of 25 subscribers to plan b, the mean income is $64,300 with a standard deviation of $7,100. at the 0.025 significance level, is it reasonable to conclude the mean income of those selecting plan b is larger? assume unequal population standard deviations. hint: for the calculations, assume the plan a as the first sample. what is the decision rule? (negative amount should be indicated by a minus sign. round your answer to 3 decimal places.) compute the value of the test statistic. (negative amount should be indicated by a minus sign. round your answer to 2 decimal places.) what is your decision regarding h0 ? reject h0 fail to reject h0 compute the p-value. less than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10