A) Line Z passes through the point D(2,4) and has the same slope as the line segment joining M(4,5) and N(6,-19). Determine the equation of Line Z in the
form y = mx + b
b) What is the value of d when a line is formed by connecting point A(-3,2d - 8)
to point B(2,d - 12), if the line has the same slope as y + 2x + 9 = 0
c) Line L passes through the point (3,-4) and is perpendicular to y = 0.5x - 8. If
(5,p) is also on Line L, find the value of p
d) i) Determine the equation of the line passing through the points P(4,6) and
Q(8,12).
ii) A line, through Q, is perpendicular to PQ. Determine the equation of the line.
iii) The line from part b) crosses the x-axis at R. Determine the coordinates of R.
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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.

According to a research study, parents with young children slept 6.4 hours each night last year, on average. a random sample of 18 parents with young children was surveyed and the mean amount of time per night each parent slept was 6.8. this data has a sample standard deviation of 0.9. (assume that the scores are normally distributed.) researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of time parents with young children sleep per night is greater than the mean amount of time last year. the null and alternative hypotheses are h0: μ=6.4 and ha: μ> 6.4, which is a right-tailed test. the test statistic is determined to be t0=1.89 using the partial t-table below, determine the critical value(s). if there is only one critical value, leave the second answer box blank.

3. simplify. 312⋅312 4. rewrite n√xm using a rational expression.