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Nuetrik [128]
3 years ago
10

Stwp by step please what is the value of n 1.8×10^n=(6×10^8)(3×10^6)

Mathematics
1 answer:
xxMikexx [17]3 years ago
5 0
1.8×10^n=(6×100,000,000)×(3×1,000,000)
1.8×10^n=600,000,000×3,000,000
1.8×10^n=1,800,000,000,000,000
Divide both sides by 1.8
10^n=1,000,000,000,000,000
There are 15 0's, so n=15
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Answer:

There is a 2% probability that the student is proficient in neither reading nor mathematics.

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We solve this problem building the Venn's diagram of these probabilities.

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A is the probability that a student is proficient in reading

B is the probability that a student is proficient in mathematics.

C is the probability that a student is proficient in neither reading nor mathematics.

We have that:

A = a + (A \cap B)

In which a is the probability that a student is proficient in reading but not mathematics and A \cap B is the probability that a student is proficient in both reading and mathematics.

By the same logic, we have that:

B = b + (A \cap B)

Either a student in proficient in at least one of reading or mathematics, or a student is proficient in neither of those. The sum of the probabilities of these events is decimal 1. So

(A \cup B) + C = 1

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(A \cup B) = a + b + (A \cap B)

65% were found to be proficient in both reading and mathematics.

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78% were found to be proficient in mathematics

This means that B = 0.78

B = b + (A \cap B)

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A = a + (A \cap B)

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(A \cup B) + C = 1

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There is a 2% probability that the student is proficient in neither reading nor mathematics.

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