The apothem is the distance from the center to the midpoint of one of the sides of a regular polygon. You can make a right triangle with the apothem, the line from the midpoint to the corner and the line from the center to the corner. An equilateral triangle has 60 degree angles (180/3). The right triangle has half of one of those angles so 30 degrees. Now we have a 30-60-90 triangle where the short leg is 5cm. The long leg, which is also half of one side of the triangle is thus
. A whole side of the triangle is
. Multiply that by 3 to get the perimeter of <span>
.</span>
Answer:
The z-score when x=187 is 2.41. The mean is 187. This z-score tells you that x = 187 is 2.41 standard deviations above the mean.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
The z-score when x=187 is ...
The z-score when x=187 is 2.41. The mean is 187. This z-score tells you that x = 187 is 2.41 standard deviations above the mean.
Answer:
x=20
Step-by-step explanation:
Rewrite the equation as
x
/32
=
5/
8
Multiply both sides of the equation by 32
32 ⋅ x /32 = 32 ⋅ 5/8
Simplify both sides of the equation.
Cancel the common factor of
32
Cancel the common factor.
<h3><u>
32·</u> x/<u>32</u> · 5/8
</h3>
Rewrite the expression.
x = 32 ⋅ 5/8
Simplify
32⋅5/8
Cancel the common factor of
8
Factor 8 out of 32
x = 8 ( 4 ) ⋅ 5/8
Cancel the common factor.
Rewrite the expression.
x = 4 ⋅ 5
Multiply 4 by 5
Answer:
a = -19
b = -35
c = -180
d = -81
Step-by-step explanation:
Answer:
The correct answer:
The data are continuous because the data can take on any value in an interval. (A)
Step-by-step explanation:
There are two categories of data:
Discrete data: These are data that have specific values that they can take on. There are limits to what values can be assigned to such categories. for example, The number of countries in a continent, there can either be 15 countries, 50 countries 30 countries, etc. There is not a possibility of having 40.56 countries on this kind of list. hence it is a discrete dataset.
Continuous data are data that can take on any value within an interval or on a particular scale of measurement. In this example, the height of the elephant in meters can be 1.5m, 2m, 1.06m, etc. There is no limit to the possibility of the height of an elephant on a meter scale.
