Given:
Mean, μ = 196
Std. dev., σ = 22
A sample size of 50 (> 30) is large enough to provide meaningful data.
The random variable is x = 200.
The z-score is
z = (x - μ)/σ = (200 - 196)/22 = 0.1818
From normal distribution tables, obtain
Prob(X < 200) = 0.572 = 57.2%
Answer: 57.2%
Answer
simplified is log5 (2)
the 5 is suposed to be the subscript one.
Answer:
The given system of equations has solutions below:
1) The solution is (2,3)
2) The solution is (
)
3) The solution is infinitely many solutions
4) No solution
Step-by-step explanation:
Given system of equation are


To solve equation by using elimination method
Multiply eqn (2) into 2

Now subtracting (1) and (3)


_________________
7x=14
x=

Substitute x=2 in equation (1)
-2+2y=4
2y=4+2

y=3
Therefore the solution is (2,3)
2) Given equation is

4y-4=x
Rewritting as below

To solve equation by using elimination method
multiply (2) into 2

Adding (1) and (3)
-2x+y=3
2x-8y=-8
________
-7y=-5

substitute
in (1)




Therefore the solution is (
)
3) Given equation is 

equation (1) can be written as
2(3x+y)=10

3x+y=5
Therefore equations (1) and (2) are same therefore it has infinitely many solutions
4) Given equation is 

multiply equation (1) into 2

To solve equation by using elimination method
subtracting (2) and (3)
-2x-4y=28
-2x-4y=12
_______

therefore it has no solution
Answer:
9675770
Step-by-step explanation:
Hope this helps
Gcf (57,27) = <span><span><span>57×27/</span><span>lcm(57,27)</span></span>=<span>1539/513</span></span> = 3