1. you have two boxes of colored pens. the first box contains a red pen, a blue pen, and a green pen. the second box contains a yellow pen, a red pen, and a black pen. what is the set that represents all the pens? (1 point)
a) {red pen, blue pen, green pen}
b) {red pen}
c) {red pen, red pen, green pen, yellow pen, black pen}
d) {red pen, blue pen, green pen, yellow pen, black pen}

2. the bulk food section of a grocery store has two bins with different types of mixed nuts. the first bin contains walnuts, peanuts, and pistachios. the second bin contains pecans, almonds, brazil nuts, and walnuts. which set represents all types of nuts in both bins?
a) {walnuts, peanuts, pistachios, pecans, almonds}
b) {walnuts, peanuts, pistachios, pecans, almonds, brazil nuts}
c) {walnuts}
d) {peanuts, pistachios}

3. let x= {x | x is a whole number less than 15, y= {x | x is a multiple of 3, z= {x | x is a real number greater than or equal to 5.5}. what is x ∩ y?
a) {0, 3, 6, 9, 12}
b) {3, 6, 9, 12, 15}
c) { -6, -3, 0, 3, 6, 9, }
d) { -6, -3, 0, 3, 6, 9, 12}

i'll give the brainliest answer for whoever is right.

Listed below are time intervals (min) between eruptions of a geyser. assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. do not assume that the population standard deviations are equal. does it appear that the mean time interval has changed? is the conclusion affected by whether the significance level is 0.10 or 0.01? recent 78 90 90 79 57 101 62 87 71 87 81 84 57 80 74 103 62 past 88 89 93 94 65 85 85 92 87 91 89 91 follow the steps of hypothesis testing, including identifying the alternative and null hypothesis, calculating the test statistic, finding the p-value, and making a conclusions about the null hypothesis and a final conclusion that addresses the original claim. use a significance level of 0.10. is the conclusion affected by whether the significance level is 0.10 or 0.01? answer choices below: a) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.01 but is not rejected when the significance level is 0.10. b) no, the conclusion is not affected by the significance level because h0 is not rejected regardless of whether a significance level of 0.10 or 0.01 is used. c) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.10 but is not rejected when the significance level is 0.01. d) no, the conclusion is not affected by the significance level because h0 is rejected regardless of whether a significance level of 0.10 or 0.01 is used.