Answer:
Let x = number of units produced per hour before the line was modified , y = number of units produced per hour after the line was modified.
The null and alternative hypotheses are :
H0: μbefore = μafter
H1: μbefore ≠ μafter
Step 1: . Calculate the difference (D = y − x) between the two observations on each pair.
See attachment for (D=y-x)
step 2: Calculate ∑D and ∑D2
From table we get ∑D = -10 & ∑D2 = 72
Step 3: Put all the value in test statistic "t"
t = D/√nD^2-D^2/n - 1
t =-10/√6.72-(-10)^2/6-1
t= -10√66.4
= -10/8.1486
= -1.227
Step 4: Compare tcal and ttab
At α = 0.05
t0.05 for 5 d.f. = 3.1634 (two tail test)
Hence | tcal | < t0.05
So, we accept the hypothesis.
So we conclude that the modified (after) layout has not increased worker productivity at 5% level of significance.
Answer:
The angle is 35 degrees
Step-by-step explanation:
Since this is an isosceles triangle, we know that the two remaining angles must be the same. Set those angles equal to x. Now, we can solve for x by adding those two angles to the third angle and setting equal to 180.
x + x + 110 = 180
2x + 110 = 180
2x = 70
x = 35
Triangle D
Because the Pythagorean Theorem is only used with a RIGHT triangle
Answer:The crystal structures of five 6-mercaptopurine derivatives, viz. 2-[(9-acetyl-9H-purin-6-yl)sulfanyl]-1-(3-methoxyphenyl)ethan-1-one (1), C16H14N4O3S, 2-[(9-acetyl-9H-purin-6-yl)sulfanyl]-1-(4-methoxyphenyl)ethan-1-one (2), C16H14N4O3S, 2-[(9-acetyl-9H-purin-6-yl)sulfanyl]-1-(4-chlorophenyl)ethan-1-one (3), C15H11ClN4O2S, 2-[(9-acetyl-9H-purin-6-yl)sulfanyl]-1-(4-bromophenyl)ethan-1-one (4), C15H11BrN4O2S, and 1-(3-methoxyphenyl)-2-[(9H-purin-6-yl)sulfanyl]ethan-1-one (5), C14H12N4O2S. Compounds (2), (3) and (4) are isomorphous and accordingly their molecular and supramolecular structures are similar. An analysis of the dihedral angles between the purine and exocyclic phenyl rings show that the molecules of (1) and (5) are essentially planar but that in the case of the three isomorphous compounds (2), (3) and (4), these rings are twisted by a dihedral angle of approximately 38°. With the exception of (1) all molecules are linked by weak C—H⋯O hydrogen bonds in their crystals. There is π–π stacking in all compounds. A Cambridge Structural Database search revealed the existence of 11 deposited compounds containing the 1-phenyl-2-sulfanylethanone scaffold; of these, only eight have a cyclic ring as substituent, the majority of these being heterocycles.
Keywords: crystal structure, mercaptopurines, supramolecular structure
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Chemical context
Purines, purine nucleosides and their analogs, are nitrogen-containing heterocycles ubiquitous in nature and present in biological systems like man, plants and marine organisms (Legraverend, 2008 ▸). These types of heterocycles take part of the core structure of guanine and adenine in nucleic acids (DNA and RNA) being involved in diverse in vivo catabolic and anabolic metabolic pathways.
6-Mercaptopurine is a water insoluble purine analogue, which attracted attention due to its antitumor and immunosuppressive properties. The drug is used, among others, in the treatment of rheumathologic disorders, cancer and prevent
Step-by-step explanation:
C represents carrots. t represents time in hours.
c= 125t
To find this equation, I found the unit rate, or how many carrots were chooped per hour. I then plugged it into slope intercept form (y=mx+b) where the y intercept was 0 because she can chop 0 carrots in 0 hours.
