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andriy [413]
2 years ago
8

Differences between two samples are least likely to be statistically significant if the samples are _______ and the standard dev

iations of the samples are _______.
Mathematics
1 answer:
neonofarm [45]2 years ago
5 0
Differences between two samples are least likely to be statistically significant if<span>the samples are small and the standard deviations of the samples are large</span>
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Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000,
Damm [24]

Answer:

Susan's take-home pay <u>$48,645</u>.

Step-by-step explanation:

Given:

Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000, and state tax withholding of $4,000. Employers are required to withhold a 6.2% Social Security tax and a 1.45% Medicare tax.

Now, to find Susan's take-home pay.

Basic salary = $70,000.

Now, her tax withholdings:

Federal income tax = $12,000.

State tax = $4,000.

<u><em>Social security tax = 6.2% of $70,000.</em></u>

=\frac{6.2}{100} \times 70,000\\\\=0.062\times 70,000\\\\=\$4340.

<u><em>Medicare tax = 1.45% of $70,000.</em></u>

=\frac{1.45}{100} \times 70000\\\\=0.0145\times 70000\\\\=\$1015.

Now, to get the take-home pay of Susan's we subtract all the tax holdings of federal, state, social and medicare from the basic salary:

70,000-(12,000+4,000+4340+1015)

=70,000-(21,355)

=70,000-21,355

=\$48,645.

Therefore, Susan's take-home pay $48,645.

7 0
1 year ago
The sides of a square are three to the power of two sevenths inches long. What is the area of the square? (
____ [38]

Answer:

Step-by-step explanation:

The side of the square = 3^2/7

Use the law of exponents . If the power is a fraction, that means it is

3^2/7 = 3^2 x 1/7 = 7√9

To find the area you multiply this by itself.

This gives you 1.87...

Hope this helps

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2 years ago
Complete the square to rewrite y = x2 - 6x + 15 in vertex form. Then state
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Since x^2 is the square of x and 6x is twice the product between x and 3, the second square must be 3 squared, i.e. 9.

So, if we think of 15 as 9+6, we have

x^2-6x+9+6 = (x-3)^2+6

Which is the required vertex form. This form tells us imediately that the vertex is the point (3,6).

Since the leading coefficient is 1, the parabola is facing upwards (it's U shaped), so the vertex is a minimum.

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Answer would be 4 multiple
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