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2 years ago

How to calculate sample size with standard deviation

Mathematics

1 answer:

VLD [36.1K]2 years ago

8 0

Answer:

Step 1: Calculate the mean of the data—this is \muμmu in the formula.

Step 2: Subtract the mean from each data point. These differences are called deviations. Data points below the mean will have negative deviations, and data points above the mean will have positive deviations.

Step 3: Square each deviation to make it positive.

Step 4: Add the squared deviations together.

Step 5: Divide the sum by the number of data points in the population. The result is called the variance.

Step 6: Take the square root of the variance to get the standard deviation

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3 years ago

Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity. In the given triangle ABC, angle A

lana66690 [7]

The relationship between the lengths of the sides of a right triangle are

given by Pythagoras theorem.

Part A: ΔABC is similar to ΔADC

Part B: ΔABC and ΔADC are similar according AA similarity postulate

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Reasons:

Part A:

∠A = 90°

Segment AD ⊥ Segment BC

Location of point D = Side BC

Part A: In triangle ΔABC, we have;

∠A = 90°, ∠B = 90° - ∠C

In triangle ΔADC, we have;

∠ADC = 90°, ∠DAC = 90° - ∠C

∴ ΔABC is similar to ΔADC by Angle-Angle, AA, Similarity Postulate

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because two angles in one triangle are equal to two angles in the other

triangle and therefore, by subtraction property of equality, the third angle

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In triangle ΔABD, we have;

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Therefore;

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$\displaystyle \frac{\overline{DA}}{\overline{DC}} = \frac{\overline{BD}}{\overline{DA}}$

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Which gives;

$\overline{DA}^2$ = 4 × 9 = 36

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$\overline{DA}$ = 6

Learn more here:

brainly.com/question/2269451

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2 years ago

HELP!!!!!!!

anygoal [31]

Answer:

Sample Response: First, the like terms had to be combined using the lowest common denominator (LCD). Then the subtraction property of equality was used to isolate the variable term. Finally, both sides of the equation were multiplied by the reciprocal of the coefficient to solve for a.

Step-by-step explanation:

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3 years ago

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