A normally distributed data set has a mean of 0 and a standard deviation of 2. The closest to the percent of values between -4.0 and 2.0 would be 84%.
<h3>What is the empirical rule?</h3>
According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.
![P(\mu - \sigma < X < \mu + \sigma) \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) \approx 99.7\%](https://tex.z-dn.net/?f=P%28%5Cmu%20-%20%5Csigma%20%3C%20X%20%3C%20%5Cmu%20%2B%20%5Csigma%29%20%20%5Capprox%2068%5C%25%5C%5CP%28%5Cmu%20-%202%5Csigma%20%3C%20X%20%3C%20%5Cmu%20%2B%202%5Csigma%29%20%20%5Capprox%2095%5C%25%5C%5CP%28%5Cmu%20-%203%5Csigma%20%3C%20X%20%3C%20%5Cmu%20%2B%203%5Csigma%29%20%20%5Capprox%2099.7%5C%25)
A normally distributed data set has a mean of 0 and a standard deviation of 2.
![Z=(x-\mu)/\sigma](https://tex.z-dn.net/?f=Z%3D%28x-%5Cmu%29%2F%5Csigma)
![P(x=-0.4)\\\\z=(-0.4-0)/2\\\\= -0.2\\\\P(x=2)\\z=(2-0)/2\\\\=1](https://tex.z-dn.net/?f=P%28x%3D-0.4%29%5C%5C%5C%5Cz%3D%28-0.4-0%29%2F2%5C%5C%5C%5C%3D%20-0.2%5C%5C%5C%5CP%28x%3D2%29%5C%5Cz%3D%282-0%29%2F2%5C%5C%5C%5C%3D1)
……….(by symmetry)
=.49865+.3413
.83995…….(by (http://83995…….by) table value)
=.8400 × 100
=84%
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Is there any choices for it
The area of the triangle is 24 ft² while the area of the square is 64 ft²
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Area of triangle = (1/2) * base * height = 0.5 * 8 * 6 = 24 ft²
Area of square = 8 ft * 8 ft = 64 ft²
The area of the triangle is 24 ft² while the area of the square is 64 ft²
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The coordinates of the vertices of LMN acquired a -ve sign to form the image L'M'N'. The line passes through the origin.
Step-by-step explanation:
When a point is rotated through 180° about the origin clockwise/anticlockwise, the coordinates of the object point T (h,k) takes a new position (-h,-k) to form the image T'. A line joining an object point to its image point will pass through the origin that is the center of rotation.
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Rotation about the origin through 180°: brainly.com/question/7747099
Keywords : Rotate, origin,graph, triangle
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Answer:
10 4/7
Step-by-step i used photo math