Find out the statement true regarding the diagram given in the question
Answer
the statement is true regarding the diagram is
m∠WXY + m∠YXZ = 180°
REASON
As shown in the diagram
∠WXY and ∠ YXZ are supplementary angles.
Supplementary angle definition
Two Angles are said to be Supplementary when there sum is equal to 180 °.
thus we get
m∠WXY + m ∠YXZ = 180 °
Therefore the m∠WXY + m∠YXZ = 180° is the true statement.
Shade 0.08 3 times
In total that's 24 hundreths to shade
For more help, please upload a picture
Hope this helps!!
A statistical statement is the one that deals with a group of data that is collected from a population or a sample population.
Here when you look the statements B,C and D, you can see that it mentions a group of people or data like time, number etc.
But the statement A does not deal with the population, but it deals with one single person who won the competition. Hence this is the statement that is not statistical
Answer:
i) 3/4
ii) 1/3
iii) 1/3
iv) 5/6 cents
Step-by-step explanation:
Any ratio can be written as a fraction.
For example 3:4 can be writen as 3/4 or 14:42 as 14/42.
After you convert them to fractions you then simplify them by finding their highest common factor (HCF) and then divide both numerator and denominator by the HCF. When you cant simplify the fraction anymore, that is the fraction in its lowest terms.
This problem can be solved from first principles, case by case. However, it can be solved systematically using the hypergeometric distribution, based on the characteristics of the problem:
- known number of defective and non-defective items.
- no replacement
- known number of items selected.
Let
a=number of defective items selected
A=total number of defective items
b=number of non-defective items selected
B=total number of non-defective items
Then
P(a,b)=C(A,a)C(B,b)/C(A+B,a+b)
where
C(n,r)=combination of r items selected from n,
A+B=total number of items
a+b=number of items selected
Given:
A=2
B=3
a+b=3
PMF:
P(0,3)=C(2,0)C(3,3)/C(5,3)=1*1/10=1/10
P(1,2)=C(2,1)C(3,2)/C(5,3)=2*3/10=6/10
P(2,0)=C(2,2)C(3,1)/C(5,3)=1*3/10=3/10
Check: (1+6+3)/10=1 ok
note: there are only two defectives, so the possible values of x are {0,1,2}
Therefore the
PMF:
{(0, 0.1),(1, 0.6),(2, 0.3)}
