Answer:
0.159
Step-by-step explanation:
Given that:
Sample size (n) = 100
Population mean(pm) = 50
Standard deviation (s) = 8
Probability that Sample mean (m) will be greater Than 50.8
Using the relation :
(sample mean - population mean) / (standard deviation /sqrt(n))
P(m > 50.8)
Z = (50.8 - 50) / (8/ sqrt(100))
Z = 0.8 / (8/ 10)
Z = 0.8 / 0.8
Z = 1
P(Z > 1) = 0.15866 ( Z probability calculator)
Hence,
P(Z > 1) = 0.159 ( 3 decimal places)
Answer:
Equation of given circle :- x² + y² = 4
Step-by-step explanation:
The equation of the circle with center (0, 0) and radius r is given by,
x² + y² = r²
It is given that, a circle with center (0,0) and (-1,-3) a point on the circle
To find the radius of circle
radius r = √[(0 - - 1)² + (0 - -3)²] =√(1 + 3) =√4 = ±2
r = 2
<u>To find the equation of circle</u>
x² + y² = r²
x² + y² = 2²
x² + y² = 4
Answer:
The proof is shown in the explanation below.
Step-by-step explanation:
Analysis:
The proof by induction focuses on n. In this case, let n = 1, and 
will be a linear operator since 
The exercise will show that 
is a linear operator on V and that 
is also a linear operator on V. This, follows that:
<span>No Jackson incorrect because 6&8even number 6+8=14 even.</span>
