In the coordinate plane, you plot the point $(2t + 3, -3t + 3)$ for every real number $t.$ for example, when $t=5$, we have $2t + 3 = 13$ and $-3t + 3 = -12$, so the point $(13,-12)$ is on the graph. explain why the resulting graph is a line, and find an equation whose graph is this line.

show your work an thoroughly explain why your answer is your answer !

Assume that there is a 11% rate of disk drive failure in a year. a. if all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. if copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?

The null and alternate hypotheses are: h0: μ1 ≤ μ2 h1: μ1 > μ2 a random sample of 22 items from the first population showed a mean of 113 and a standard deviation of 12. a sample of 16 items for the second population showed a mean of 99 and a standard deviation of 6. use the 0.01 significant level. find the degrees of freedom for unequal variance test. (round down your answer to the nearest whole number.) state the decision rule for 0.010 significance level. (round your answer to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? use the 0.01 significance level.

Write a function rule for  “the output is  5 less than the input.” let  xx  be the input and let  yy  be the output.