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Darina [25.2K]
3 years ago
6

Prove the divisibility of the following numbers:

Mathematics
1 answer:
yan [13]3 years ago
8 0
8^{10}-8^9-8^8=8^8(8^2-8-1)=8^8(55)

81^7-27^9-9^{13}=3^{28}-3^{27}-3^{26}=3^{26}(3^2-3-1)=3^{26}(5)=3^{24}(45)
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Two bottles of soft drink can be serve 8 people.How many bottles of soft drink will be be needed to serve 40
riadik2000 [5.3K]

Answer: 10 bottles

Step-by-step explanation: 8 x 5 = 40. 2 x 5 = 10

4 0
2 years ago
A study shows that 78​% of the population of all calculus students consider calculus an exciting subject. Suppose 20 students ar
alexdok [17]

Answer:

0.046145 = 4.6145%

Step-by-step explanation:

We need to find the probability of 19 or 20 (all) students considering calculus to be an exciting subject, so first we find the probability for 19 students, then for 20 students, and we sum these probabilities.

The probability of the student NOT considering calculus to be an exciting subject is 1 - 0.78 = 0.22

For 19 students, we also have to calculate a combination of 20 choose 19, as these 19 students can be in different "position" among the 20 students, so:

C(20,19) = 20!/19! = 20

Probability of 19 students considering calculus to be an exciting subject:

C(20,19) * 0.78^19 * 0.22^1 = 0.039196756

Probability of 20 students considering calculus to be an exciting subject:

C(20,20) * 0.78^20 = 1 * 0.78^20 = 0.006948516

The final probability is:

0.039196756 + 0.006948516 = 0.046145272 = 4.6145272%

Rounding to six decimal places: 0.046145 = 4.6145%

5 0
3 years ago
The eye of a dinosaur has 9 yellow, 2 white, 4 black,
vivado [14]
20:5
The total number of jelly beans is 20, and there are 5 orange jelly beans. This is a total to part ratio because it’s comparing the entirety to a part.
8 0
3 years ago
https://lists.office.com/Images/2fce1dfb-919f-4938-aab8-c47f0fc9182d/759a6d77-ea1a-4b50-a9bc-86157c96a662/T14LEZ48DGIIWGRBN9LPBU
Darina [25.2K]

Answer:

54 is th area

Step-by-step explanation:

i have a pitucre your welcome :)

7 0
3 years ago
5. The cost per person to rent a chartered bus varies inversely to the number of people a who ride the bus. If 40 people pay $9.
777dan777 [17]
Answer d $380.00 or answer a $24.00
3 0
2 years ago
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