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2 years ago

Write 24.357 in the Expanded form using fractions

Mathematics

1 answer:

Oksanka [162]2 years ago

8 0

24+357/1000 = 24.357. Just remember decimals are in tenths, hundredths and in this case thousandths

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) An instructor gives his class a set of 18 problems with the information that the next quiz will consist of a random selection

RSB [31]

Answer:

The probability the he or she will answer correctly is 1.5%

Step-by-step explanation:

In all, there are 18 problems. In this question, the order of which the problems are sorted for the quiz makes no difference. For example, if the question A of the quiz is P1 and question B P2, and question A P2 and question B P1, it is the same thing.

There are 18 problems and 9 are going to be selected. So, there is going to be a combination of 9 elements from a set of 18 elements.

A combination of n elements from a set of m objects has the following formula:

$C_{(m,n)} = \frac{m!}{n!(m-n)!}$

In this question, m = 18, n = 9. So the total number of possibilities is:

$T_{p} = C_{(18,9)} = \frac{18!}{9!(18-9)!} = 48620$

Now we have to calculate the number of desired outcomes. This number is a combination of 9 elements from a set of 13 elements(13 is the number of problems that the student has figured out how to do).

Now, m = 13, n = 9. The number of desired possibilities is:

$D_{p} = C_{(13,9)} = \frac{13!}{9!(13-9)!} = 715$

The probability is the number of desired possibilities divided by the number of total possibilities. So

$P = \frac{715}{48620} = 0.015 = 1.5%$

The probability the he or she will answer correctly is 1.5%

3 0

2 years ago

Anyone please help me? tysm!

Oksana_A [137]

Answer:

6 ft

Step-by-step explanation:

The surface area of a cube is given by

SA = 6s^2

216 = 6s^2

Divide each side by 6

216/6 = 6s^2/6

36 = s^2

Take the square root of each side

sqrt(36) = sqrt(s^2)

6 =s

Each side is 6ft

7 0

3 years ago

In a NiCd battery, a fully charged cell is composed of Nickelic Hydroxide. Nickel is an element that has multiple oxidation stat

Westkost [7]

Answer:

P(cell has at least one of the positive nickel-charged options) = 0.83.

P(a cell is not composed of a positive nickel charge greater than +3) = 0.85.

Step-by-step explanation:

It is given that the Nickel Charge Proportions found in the battery are:

0 ==> 0.17

+2 ==> 0.35

+3 ==> 0.33

+4 ==> 0.15.

The numbers associated to the charge are actually the probabilities of the charges because nickel is an element that has multiple oxidation states that is usually found in the above mentioned states.

a) P(cell has at least one of the positive nickel-charged options) = P(a cell has +2 nickel-charged options) + P(a cell has +3 nickel-charged options) + P(a cell has +4 nickel-charged options) = 0.35 + 0.33 + 0.15 = 0.83.

Or:

P(a cell has at least one of the positive nickel-charged options) = 1 - P(a cell has 0 nickel-charged options) = 1 - 0.17 = 0.83.

b) P(a cell is not composed of a positive nickel charge greater than +3) = 1 - P(a cell is composed of a positive nickel charge greater than +3)

= 1 - P(a cell has +4 nickel-charged options) '.' because +4 is only positive nickel charge greater than +3

= 1 - 0.15

= 0.85

To summarize:

P(cell has at least one of the positive nickel-charged options) = 0.83!!!

P(a cell is not composed of a positive nickel charge greater than +3) = 0.85!!!

8 0

2 years ago

What 2m+3 over 2 =3m-1 over 3

Ira Lisetskai [31]

2m3 is. not over3 because. 2is lower than 3

3 0

3 years ago

Naddika [18.5K]

Answer: 1/5

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers