Answer:
1)Mean=920 $
2)Standard Error =S.E.=38
3)more likely to take place Event 25 studio apartments with a mean rent between $901 and $939
Step-by-step explanation:
Given:
True mean =920 $
S.D=190 $
No .of samples=25
To Find:
1)Mean of sample.
2)S.E
Solution:
Now , the mean for given sample distribution is given as 920 $
Hence Mean =920 $
Now calculating the Standard error
S.E.= S.D./Sqrt(n)
=190/Sqrt(25)
=190/5
=38
Therefore the Standard error is about 38 .
a) When n=1 then P(901≤X≤939)
So,
Z1=(901 -920)/190/Sqrt(1)]
Z1=-0.1
Z2=(939-920)/(190/Sqrt(1)]
Z2=0.1
So
Pr(-0.1≤Z≤0.1)=P(Z≤0.1)-P(Z≤-0.1)
=0.5398-0.4602
=0.0797 % chance of the sample distribution
b)n=25 then P(901≤X≤939)
Z1=(901-920)/S.E
Z1=-19/38=
Z1=-0.5
And Z2=0.5
So,
Pr(-0.5≤Z≤0.5)
=Pr(Z≤0.5)-Pr(Z≤-0.5)
=0.6915-0.3085
=0.3829
i.e 38.29 % chance of the sample distribution
Hence More likely to take place will be a sample of 25 studio apartments with a mean rent between $901 and $939.
0.3829>0.0797.
Because the probability of causing above event is more than the option A.
Step-by-step explanation:
The answer is A. (x - 4)(x - 12).
Answer:
x = -1 and y = -1
Step-by-step explanation:
to solve this equation we say
let
2x-5y=3.......................................... equation 1
4y-x=-3............................................equation 2
from equation 2
4y-x=-3............................................equation 2
4y + 3 = x
i.e
x = 4y + 3 ............................................. equation 3
put x = 4y + 3 in equation 1
2(4y +3) - 5y = 3
8y + 6 -5y = 3
3y +6 = 3
3y= 3-6
3y -3
divide both sides by the coefficient of y which is 3
3y/3 = -3/3
y = -1
put y = -1 into equation 3
x = 4y + 3 ............................................. equation 3
x = 4(-1) + 3
x = -4 + 3
x = -1
therefore the value of x = -1 and y = -1 respectively
It is important when converting from square feet to square inches to remember to multiply twice. 166.47 times 12 times 12.
Therefore the solution is 23971.68 square inches.
