Which two expressions are equivalent for any value of x? a)4x - 2 + 5x and

b)(11 + 3x) - x and 11+2x

c)12(x - 2) and 12x - 2

d)9(4x) and 13x

ASAP!

What is the slope of the line (-7,2) (4,6)

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

The weight of a small starbucks coffee is a normally distributed random variable with a mean of 340 grams and a standard deviation of 11 grams. find the weight that corresponds to each event. (use excel or appendix c to calculate the z-value. round your final answers to 2 decimal places.)highest 30 percent middle 70 percent highest 90 percent lowest 20 percent