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lyudmila [28]
3 years ago
6

How many different ways are there to rearrange the letters of the word EXAM, if you don't care if the results is a recognizable

word
Mathematics
1 answer:
Vlada [557]3 years ago
6 0
In this case, all letters are unique.

Start by holding the first letter:
E - XAM
E - XMA
E - MAX
E - MXA
E - AXM
E - AMX
So there are 6 combinations here.

Repeat for all 4 letters.

6 x 4 = 24

This is same as 4x3x2x1.

For 3 unique characters, it is 3x2x1.
For 5 unique characters, it is 5x4x3x2x1
And so on...
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A United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year. A FLOC (Farm
disa [49]

Answer:

We conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

Step-by-step explanation:

We are given that a United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year.

A FLOC  evaluation of 25 Mexican family units reveals a mean to be $30,000 with a sample standard deviation of $10,000.

Let \mu = <em><u>true mean family income for Mexican migrants.</u></em>

So, Null Hypothesis, H_0 : \mu = $27,000     {means that the mean family income for Mexican migrants to the United States is $27,000 per year}

Alternate Hypothesis, H_A : \mu \neq $27,000     {means that the mean family income for Mexican migrants to the United States is different from $27,000 per year}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

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

where, \bar X = sample mean family income = $30,000

            s = sample standard deviation = $10,000

            n = sample of Mexican family = 25

So, <u><em>the test statistics</em></u>  =  \frac{30,000-27,000}{\frac{10,000}{\sqrt{25} } }  ~ t_2_4

                                     =  1.50

The value of t test statistics is 1.50.

Since, in the question we are not given the level of significance so we assume it to be 5%. <u>Now, at 5% significance level the t table gives critical values of -2.064 and 2.064 at 24 degree of freedom for two-tailed test.</u>

Since our test statistic lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

4 0
3 years ago
Multiply the polynomials (x+4)(x^2-5x+3)
tatiyna
(<span>4x2</span><span> – </span><span>4x</span><span> – </span>7)(x<span> + </span>3)<span> 
</span>  =  (<span>4x2</span><span> – </span><span>4x</span><span> – </span>7)(x) + (<span>4x2</span><span> – </span><span>4x</span><span> – </span>7)(3)<span> 
</span><span>  =  </span><span>4x2</span>(x<span>) – </span><span>4x</span>(x<span>) – </span>7(x<span>) + </span><span>4x2</span>(3<span>) – </span><span>4x</span>(3<span>) – </span>7(3)<span> 
</span><span>  =  4x3 – 4x2 – 7x + 12x2 – 12x – 21</span><span> 
</span><span>  =  4x3 – 4x2 + 12x2 – 7x – 12x – 21</span><span> 
</span><span>  =  4x3 + 8x2 – 19x – 21</span>
6 0
3 years ago
Read 2 more answers
What is 77.7% of $56.20
Ipatiy [6.2K]
<span>this is the answer 43.6674</span>
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3 years ago
How does understanding place value help you to subtract across zeros?
Alex_Xolod [135]
Oh it helps because a zero could count as a number when you write it down but it doesn't seem that way when u say it
6 0
3 years ago
Help with this plz on finding x
ratelena [41]
M<3 = m<5
10x = 12x - 25
2x = 25
x = 12.5

answer is A. first choice
3 0
3 years ago
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