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Reika [66]
3 years ago
7

An Earth scientist is testing how various soil mixtures affect plant growth. She begins with 10 soil types. For each mixture, sh

e combines equal amounts of 2 soil types. How many soil mixtures must the scientist create in order to test all possible combinations of the 10 soil types?a. 20b. 45c. 55d. 90
Biology
1 answer:
Karolina [17]3 years ago
7 0

Answer:

b

Explanation:

The correct answer would be 45.

Assuming that the 10 soils are each represented by A, B, C, D, E, F, G, H, I, J.

A can combine with 9 others as: AB AC AD AE A F AG AH AI AJ

B can combine as: BC BD BE BF BG BH BI BJ

C as: CD CE CF CG CH CI CJ

D as: DE DF DG DH DI DJ

E as: EF EG EH EI EJ

F as: FG FH FI FJ

G as: GH GI GJ

H as: HI HJ

I as: IJ

Adding all the combinations together = 45

In other words;

^{10}C_2 = \frac{10!}{(2!(10 - 2)!)} = 45

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"The presence of hair, composed of the protein keratin, is one of the most obvious characteristics of mammals. Although it is not very extensive or obvious on some species (such as whales), hair has many important functions for most mammals. Mammals are endothermic, and hair traps a boundary layer of air close to the body, retaining heat generated by metabolic activity. Along with insulation, hair can serve as a sensory mechanism via specialized hairs called vibrissae, better known as whiskers. Vibrissae attach to nerves that transmit information about tactile vibration produced by sound sensation, which is particularly useful to nocturnal or burrowing mammals. Hair can also provide protective coloration or be part of social signaling, such as when an animal’s hair stands “on end” to warn enemies, or possibly to make the mammal “look bigger” to predators.

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