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3 years ago

Find the standard deviation for the given sample data. Round your answer to one more decimal place than the original data.

SAT

1 answer:

Musya8 [376]3 years ago

4 0

The standard deviation is 5.4108 so 5.4

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During which phase is the least percentage of the light that hits the moon visible from earth?

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3 years ago

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in a state's pick 3 lottery game, you pay $ to select a sequence of three digits (from 0 to 9), such as . if you select the

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2 years ago

The vertices of square cdef are c(1, 1), d(3, 1), e(3,−1) and f(1,−1). Which of the following shows that its diagonals are congr

maks197457 [2]

The equation $-1 = -\frac {1}{1}$ shows that the diagonals are congruent perpendicular bisectors.

The vertices of the square are given as:

c = (1,1)
d = (3,1)
e =(3,-1)
f = (1,-1)

<h3>How to determine the congruent perpendicular bisectors.</h3>

Start by calculating the slope of diagonal ce using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m = \frac{-1-1}{3 -1}$

$m = \frac{-2}{2}$

$m_1 = -1$

Next, calculate the slope of diagonal df using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m = \frac{-1-1}{1-3}$

$m = \frac{-2}{-2}$

$m_2 = 1$

The slopes of both diagonals are:

$m_1 = -1$

$m_2 = 1$

By comparing both slopes, we have:

$m_1 = -\frac {1}{m_2}$

i.e.

$-1 = -\frac {1}{1}$

Hence, $-1 = -\frac {1}{1}$ shows that the diagonals are congruent perpendicular bisectors.

Read more about perpendicular bisectors at:

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2 years ago

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3 years ago

How many iron atoms are present in 3.0 mol of iron metal?

Stella [2.4K]

Answer:

There are 1.806×10²⁴ atoms in 3 moles of iron.

Explanation:

Step 1:

Data obtained from the question

Number of mole of Fe = 3 moles

Number of atom =?

Step 2:

Determination of the number of atom.

From Avogadro's hypothesis, we understood that:

1 mole of Fe = 6.02×10²³ atoms

Therefore,

3 moles of Fe = 3 × 6.02×10²³ atoms

3 moles of Fe = 1.806×10²⁴ atoms

Thus, 3 moles of iron, Fe contains 1.806×10²⁴ atoms.

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2 years ago