Answer:
7/4 +1/6 +X=15/2
1/6+X=15/2-7/4
1/6+X=30/4-7/4
X=23/4 - 1/6
X= 138-4/24
134/24
5.58333
Step-by-step explanation:
Answer:
81π
Step-by-step explanation:
-The sum of central angles in a circle add up to 360°.
-Let x be the area of the circle.
-Given the area of a 120° is 27π, the circles area can be calculated as:
![A=27\pi\\\\120\textdegree=27\pi\\360\textdegree=x\\\\\therefore x=\frac{360\textdegree\times 27\pi}{120\textdegree}\\\\=3\times 27\pi\\\\=81\pi](https://tex.z-dn.net/?f=A%3D27%5Cpi%5C%5C%5C%5C120%5Ctextdegree%3D27%5Cpi%5C%5C360%5Ctextdegree%3Dx%5C%5C%5C%5C%5Ctherefore%20x%3D%5Cfrac%7B360%5Ctextdegree%5Ctimes%2027%5Cpi%7D%7B120%5Ctextdegree%7D%5C%5C%5C%5C%3D3%5Ctimes%2027%5Cpi%5C%5C%5C%5C%3D81%5Cpi)
Hence, the area of the circle is 81π
The value of the z score is 1.03.
According to the statement
we have given that the value of mean and standard deviation and we have to find the value of the z score.
So, For this purpose we know that the
Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.
And the given values are:
mean value = 69 inches
s.d value = 2.8 inches
And the value of x is 71.9 inches.
So, The Z score is
z = x - mean / standard deviation
substitute the values in it then
z = 71.9 - 69 / 2.8
then
z = 2.9 /2.8
z = 1.03
So, The value of the z score is 1.03.
Learn more about Z Score here
brainly.com/question/25638875
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Answer:
(-2,-1)
Step-by-step explanation:
Reflecting a point over the y-axis means to have the point either to the right or left of the originial point.