Answer:
68% of the sample can be expected to fall between 28 and 32 cm
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 30
Standard deviation = 2
What proportion of the sample can be expected to fall between 28 and 32 cm
28 = 30-2
28 is one standard deviation below the mean
32 = 30 + 2
32 is one standard deviation above the mean
By the Empirical Rule, 68% of the sample can be expected to fall between 28 and 32 cm
Answer:

Step-by-step explanation:
Given



Required
Determine the volume
Volume is calculated as:

Substitute values for Length, Width and Height


<em>Hence, the volume of the box is </em>
<em></em>
Volume is L x W x H
8 x 10 x 3 = 240 cubic units
Step-by-step explanation:
the angle ABC = 180 - x, as ABD and ABC are complementary angles on top of the bottom line : all angles around a point on one side of a line are always adding up to 180 degrees.
but because we also know that the sum of all angles in a triangle is 180 degrees too, we can say
180 = ACB + ABC + CAB
180 = y + 180 - x + CAB
0 = y - x + CAB
x = y + CAB
x - y = CAB
therefore, the second answer option is correct.
The figure shows that the polygon:
- Has 6 sides.
- Divided into 4 triangles.
- Total interior angle measure of 180°.
- Total measure of the interior angles of this polygon is 720°.
<h3>What is the polygon about?</h3>
The polygon has sides of: AB, BC, CD, DE, EF, FA.
So, this means that they have 6 sides and when you look at the diagram, this 6 sides can be divided into 4 triangle of which whose total interior will sum up to 180°.
Since there are 4 triangles and the interior is 180°, then to get the total measure of the interior angles of this polygon will be:
= 180 X 4 = 720
Therefore, one can say that the The figure shows that the polygon, has 6 sides, may be divided into 4 triangles, each of which will have a total interior angle measure of 180. Therefore, the total measure of the interior angles of this polygon is 720.
Learn more about Polygon from
brainly.com/question/1592456
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