Bacteria are bounded by semipermeable cytoplasmic membranes, often including aquaporins. ... The cell wall of Gram-negative bacteria (such as E. coli) is bounded by an outer lipid membrane that includes porins like those of mitochondria. The area between the outer and cytoplasmic membranes is denoted the “periplasm.”
There are C(29, 4) = 29!/(4! (29 - 4)!) ways of selecting any 4 students from the total 21 + 8 = 29 students.
The teacher has C(21, 2) = 21!/(2! (21 - 2)!) ways of picking out 2 sophomores and C(8, 2) = 8!/(2! (8 - 2)!) ways of picking out 2 freshmen, so there are
C(21, 2) • C(8, 2) = 5880
possible ways of picking out 2 sophomore and 2 freshmen.
The probability of picking out a group of students like this is then
C(21, 2) • C(8, 2) / C(29, 4) = 280/1131 ≈ 0.2476
Complete question :
If the price of an apple is $0.50, the marginal utility per dollar spent for the fifth apple is:
Number of apples ____total utility
2__________________130
3__________________180
4__________________220
5__________________250
6__________________270
7__________________280
Answer:
60
Explanation:
The marginal utility simply refers to the change or extra satisfaction derived with change in consumption.
Hence, the marginal utility of the fifth apple equals :
Difference /change or extra satisfaction derived by consuming one more than 4 apples = (total utility of 5th apple - total utility of 4th apple)
= (250 - 220) = 30
Hence, marginal utility per dollar :
Marginal utility / price per apple
Price per apple = $0.5
Marginal utility of 5th apple = 30
Therefore,
30 / 0.5
= 60
