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prohojiy [21]
3 years ago
10

How many 5-digit numbers can be formed out of the digits 0, 1, 2, 3, and 4? Identify whether the situation involves combinations

or permutations.
a) 24; permutations
b) 120; combinations
c) 24; combinations
d) 120; permutations
Mathematics
2 answers:
choli [55]3 years ago
7 0
B: 120 combinations
emmainna [20.7K]3 years ago
3 0

Answer: 120 permutations

Step-by-step explanation: permutation is different from combination because in a permutation the order you put it in matters. in a combination any order is fine. So there is only one combination you can make with these numbers, but there is 120 permutation you can make.

hope this helps mark me brainliest if you can

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Are the numbers from the table -2, 0, 2, and 4 linear or nonlinear?<br> how about -1, 0, 1, 2?
monitta

Answer:

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2 years ago
In a random sample of 18 families, the average weekly food expense was $95.60 with a sample standard deviation of $22.50. Determ
shepuryov [24]

Answer:

t-distribution should be used to construct a confidence interval.

Step-by-step explanation:

We are given that a random sample of 18 families, the average weekly food expense was $95.60 with a sample standard deviation of $22.50.

We have to determine whether a normal distribution (Z values) or a t- distribution should be used or whether neither of these can be used to construct a confidence interval.

<em><u>Since in this question we are provided with;</u></em>

Sample average weekly food expense, \bar X = $95.60

Sample standard deviation, s = $22.50

Sample of families, n = 18

The distribution that we will use here to construct a confidence interval will be <u>t-distribution</u> because in the question we don't know anything about population standard deviation (\sigma) .

Normal distribution is used when we know population standard deviation (\sigma).

So, the pivotal quantity for confidence interval that will be used is One-sample t-test statistics;

                P.Q. = \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

Therefore, t-distribution should be used to construct a confidence interval.

3 0
3 years ago
Prove that the product of any two consecutive natural numbers is even.
Vitek1552 [10]

Answer with Step-by-step explanation:

Let us assume the 2 consecutive natural numbers are 'n' and 'n+1'

Thus the product of the 2 numbers is given by

Product=n(n+1)\\\\

We know that the sum of 'n' consecutive natural numbers starting from 1 is

S_n=\frac{n(n+1)}{2}\\\\\therefore n(n+1)=2\times S_n............(i)

Thus from equation 'i' we can write

Product=2\times S_n

As we know that any number multiplied by 2 is even thus we conclude that the product of 2 consecutive numbers is even.

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tatuchka [14]
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5 0
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Read 2 more answers
What is the equation of the graph shown?​
OlgaM077 [116]

<em>Greetings from Brasil...</em>

As we have a line, the function will be given by the expression:

F(X) = AX + B

where

<em>A = ΔY/ΔX</em>

<em>B = where the line intersects the Y axis</em>

Looking at the graph we have already concluded that

B = - 3

A = ΔY/ΔX

A = (5 - 3)/(4 - 3)     see attached picture

A = 2

So,

F(X) = AX + B

<h2>F(X) = 2X - 3</h2>

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