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emmasim [6.3K]
3 years ago
14

Fill in the blank. For data sets having a distribution that is approximately​ bell-shaped, _______ states that about​ 68% of all

data values fall within one standard deviation from the mean
Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
8 0

Answer:

Empirical Rule

Step-by-step explanation:

The Empirical Rule is also known as the Sigma rule or the 68-95-99.7% rule. The rule state that for a given data set, 68% of all data values will fall within the first standard deviation from the mean. The rule also states that 95% of all data values would fall within two standard deviations, while almost all the data which amounts to about 99.7% will fall within three standard deviations.

The empirical rule is used in forecasting based on the given datasets because it is a certainty that after obtaining the standard deviation, data values can be assigned to the categories they fall into, under the Empirical rule.

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Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are .
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QUESTION 1

The point  C(3.6, -0.4) divides AB in the ratio 3 : 2.

The coordinates of A are (-6, 5).

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x=\frac{mx_2+nx_1}{m+n} to determine the x-coordinate of B.

We substitute the known values to obtain:

3.6=\frac{3x_2+2(-6)}{3+2}

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30=3x_2

This implies that:

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We also use the formula:

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-0.4=\frac{3y_2+2(5)}{3+2}

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The coordinates of B are (10,-4)

QUESTION 2.

If point D divides CD in the ratio 4 : 5.

Then the coordinates of D are:

(\frac{4(10)+5(3.6)}{4+5}, \frac{4(-4)+5(-0.4)}{4+5})

(\frac{58}{9}, \frac{-18}{9})

The coordinates of D are (\frac{58}{9}, -2)

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3 years ago
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Angle 1 and 3 are vertical angles, which mean they are identical. Since angle 3 is given as 111 degrees, then angle 1 is also 111 degrees.

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Subtract angle 1 and 3 from 360:

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Angle 2 and 4 would also be identical, so divide the 138 by 2:

138 / 2 = 69

Angle 2 and angle 4 are both 69 degrees.

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4 years ago
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