Write the percent as a fraction or mixed number in simplest form. 150%
1 answer:
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Answer:
First part
And for this case we can use the z score formula given by:
And using this formula we got:
And we can use the normal standard table or excel and we got:
Second part
For the other part of the question we want to find the following probability:
And using the score we got:
And we can find this probability with this difference:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the data of a population, and for this case we know the distribution for X is given by:
Where and
First part
And for this case we want this probability:
And for this case we can use the z score formula given by:
And using this formula we got:
And we can use the normal standard table or excel and we got:
Second part
For the other part of the question we want to find the following probability:
And using the score we got:
And we can find this probability with this difference:
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
where
m is the slope
( x1 , y1) is the point
From the question we have the final answer as
Hope this helps you
Answer:
The apothem of the Pentagon is about <u>12.9</u> inches long. The area of a regular pentagon is equal to its perimeter times its apothem divided by <u>2</u>. Therefore, the perimeter of the Pentagon on the map is about <u>94.4</u> inches. So, each side is about <u>18.9</u> inches long on the map.
Step-by-step explanation:
We know that this pentagon is a regular polygon, meaning we can divide this pentagon into five equal triangles. In order to find the length of the apothem, we need to find half the measure of the central angle of those triangles. Dividing 360° by 5, we get 72°. Next, divide 72° by 2 to get half the measure of the central angle, which is 36°. Then, we do: cos(36°) = or taking cos(36°) and multiplying it with 16, which equals 12.94427.
The formula to find the area of this polygon is: <em>A</em> = . This means the area of the polygon equals the apothem times its perimeter divided by 2. Using this formula, we can replace the variable with what we already know to solve for the perimeter.
608.7 = ← Multiply both sides of the equation by its reciprocal
<em>p</em> = 608.7 × ← Calculate 608.7 ×
<em>p</em> = ≈ 94.73209
Because we know the perimeter is about 94.4 inches, we can divide that by 5 to find the length of the sides of the pentagon.
94.4 ÷ 5 = 18.88
Rounding 18.88 to the nearest tenths, is 18.9 inches.
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