we have
Min=26
Q1=67
Q2=80
Q3=87
Max=100
Mean=76
Mode=100
standard deviation=76
IQR=20
so
In this problem
the mean is equal to the standard deviation
therefore
<h2>The standard deviation is incorrectly</h2>
Answer:
Measure of arc ZWX is <u>230°.</u>
Step-by-step explanation:
Given:
arc WX = 50°
Now
The diameter divide a circle into two equal parts
so
![arc\ ZWX=arc\ ZRW+arc\ WX](https://tex.z-dn.net/?f=arc%5C%20ZWX%3Darc%5C%20ZRW%2Barc%5C%20WX)
Since WZ is diameter of the circle.
substituting in above equation we get
![arc\ ZWX=180\°+50\°=230\°](https://tex.z-dn.net/?f=arc%5C%20ZWX%3D180%5C%C2%B0%2B50%5C%C2%B0%3D230%5C%C2%B0)
Hence Measure of arc ZWX is <u>230°.</u>
Answer:
cm scale
Step-by-step explanation:
it may help you to understand
Given:
Either has a school certificate or diploma or even both = 20 people
Having school certificates = 14
Having diplomas = 11
To find:
The number of people who have a school certificate only.
Solution:
Let A be the set of people who have school certificates and B be the set of people who have diplomas.
According to the given information, we have
![n(A)=14](https://tex.z-dn.net/?f=n%28A%29%3D14)
![n(B)=11](https://tex.z-dn.net/?f=n%28B%29%3D11)
![n(A\cup B)=20](https://tex.z-dn.net/?f=n%28A%5Ccup%20B%29%3D20)
We know that,
![n(A\cup B)=n(A)+n(B)-n(A\cap B)](https://tex.z-dn.net/?f=n%28A%5Ccup%20B%29%3Dn%28A%29%2Bn%28B%29-n%28A%5Ccap%20B%29)
![20=14+11-n(A\cap B)](https://tex.z-dn.net/?f=20%3D14%2B11-n%28A%5Ccap%20B%29)
![20=25-n(A\cap B)](https://tex.z-dn.net/?f=20%3D25-n%28A%5Ccap%20B%29)
Subtract both sides by 25.
![20-25=-n(A\cap B)](https://tex.z-dn.net/?f=20-25%3D-n%28A%5Ccap%20B%29)
![-5=-n(A\cap B)](https://tex.z-dn.net/?f=-5%3D-n%28A%5Ccap%20B%29)
![5=n(A\cap B)](https://tex.z-dn.net/?f=5%3Dn%28A%5Ccap%20B%29)
We need to find the number of people who have a school certificate only, i.e.
.
![n(A\cap B')=n(A)-n(A\cap B)](https://tex.z-dn.net/?f=n%28A%5Ccap%20B%27%29%3Dn%28A%29-n%28A%5Ccap%20B%29)
![n(A\cap B')=14-5](https://tex.z-dn.net/?f=n%28A%5Ccap%20B%27%29%3D14-5)
![n(A\cap B')=9](https://tex.z-dn.net/?f=n%28A%5Ccap%20B%27%29%3D9)
Therefore, 9 people have a school certificate only.