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3 years ago

What inequality describes the weight range of a single nickel

Mathematics

1 answer:

Evgen [1.6K]3 years ago

5 0

Answer:

4.806 g ≤ n ≤ 5.194 where n is the mass of a nickle.

Step-by-step explanation:

The problem tells us the weight can vary by .194 g, this means it can be up to .194 lighter and 194 heavier. Well what value is .194 lighter and .194 heavier? 4.806 and 5.194 respectively. So that means a nickle can be anywhere in that range, which tells us the inequality.

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Ashley, Bob, Claire, and Daniel are among 13 students who entered a lottery to win a free vacation to Paris.

AlladinOne [14]

Answer:

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the students are chosen is not important, so the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

Desired outcomes:

4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So

$D = C_{4,4} = \frac{4!}{4!(4-4)!} = 1$

Total outcomes:

4 students from a set of 13(number of students in the lottery). So

$T = C_{13,4} = \frac{13!}{4!(13-4)!} = 715$

Probability:

$p = \frac{D}{T} = \frac{1}{715} = 0.0014$

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

7 0

3 years ago

11) the difference between the product of 4 and a<br><br> number and the square of the number

marta [7]

Answer:

$= 4x-x^2\\\\$

Step-by-step explanation:

Let the number be x;

The product of 4 and the number will be;

$= 4 * x\\\\= 4x$

The the square of the number is given as;

$= x^2\\$

Taking the difference of both expressions above;

$= 4x-x^2\\\\$

Factor out the common term:

$= x(4-x)\\\\$

Hence the difference between the product of 4 and a number and the square of the number is $= 4x-x^2\\\\$

6 0

3 years ago

A bag contains ten identical blue marbles and ten identical green marbles. In how many distinguishable ways can five of these ma

ivann1987 [24]

Answer: 11 different rows.

Step-by-step explanation:

As the marbles are identical, we do not really care for permutations (as we can really not difference them)

If we have 5 blue marbles, we have only one combination.

B-B-B-B-B

If we have 4 blue marbles, we have 3 combinations:

B-B-B-B-G, G-B-B-B-B, B-B-G-B-B

This is because the blue marbles need to be next to another blue one, so from here we can do the same analysis.

If we have 3 of them, we have 3 combinations.

B-B-B-G-G, G-B-B-B-G, G-G-B-B-B

If we have 2 of them, we have 4 combinations

B-B-G-G-G, G-B-B-G-G, G-G-B-B-G, G-G-G-B-B

then we have 1 + 3 + 3 + 4 = 11 combinations

7 0

3 years ago

How many times does the earth spin in a year

grigory [225]

365........................

8 0

4 years ago

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If g = 77 cm and h = 85 cm, what is the length of f?

puteri [66]

<span>Your answer is: D. 115 cm</span>

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4 years ago

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