A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/20 for blue, 1/10 for purple, 1/5 for white, and 7/15 for yellow. What is the probability of pulling a white or purple card, written as a reduced fraction? ​

Parabolas y=−2x^2 and y=2x^2+k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.

Anull hypothesis states that the difference between 8 hours of sleep and 3 hours of sleep has no effect on the number of pictures a student will remember during a picture memory interface test (pmit). examining the mit database, an extremely small t-value of 0.1611 is found. this t-value is much smaller than the smallest t-value on the chart for p-value reference. from this information we can: select one: a. accept the null hypothesis because the p-value obtained shows that the difference between the two groups being tested is not statistically significant b. accept the null hypothesis because the p-value obtained was statistically significant c. reject the null hypothesis because of the p-value obtained d. reject the null hypothesis because the data obtained is statistically significant

Acoin is tossed 4 times which of the following represents the probability of the coin landing on heads all 4 times