Answer:
(53.812 ; 58.188) ; 156
Step-by-step explanation:
Given that :
Sample size (n) = 51
Mean (m) = 56
Standard deviation (σ) = 9.5
α = 90%
Using the relation :
Confidence interval = mean ± Error
Error = Zcritical * (standard deviation / sqrt (n))
Zcritical at 90% = 1.645
Error = 1.645 * (9.5 / sqrt(51))
Error = 1.645 * 1.3302660
Error = 2.1882877
Hence,
Confidence interval :
Lower boundary = 56 - 2.1882877 = 53.8117123
Upper boundary = 56 + 2.1882877 = 58.1882877
Confidence interval = (53.812 ; 58.188)
2.)
Margin of Error (ME) = 1.25
α = 90%
Sample size = ((Zcritical * σ) / ME)^2
Zcritical at 90% = 1.645
Sample size = ((1.645 * 9.5) / 1.25)^2
Sample size = (15.6275 / 1.25)^2
Sample size = 12.502^2 = 156.3000
Sample size = 156
Answer:
C11= 1
C12=0
C21=0
C22=1
Step-by-step explanation:
Just took the the assignment
Answer: $440
Step-by-step explanation:
Given selling price = $ 372
Loss % = 7%
We know, cost price = selling price × 100/100 - loss%
Therefore, cost price = 372 × 100/100 - 7
= 372 × 100/93
= $400
Now cost price = $400
Gain% = 10%
Therefore, selling price = (100 + gain%)cost price/100
= (100 + 10)400/100
= 110 × 4
= $440
Answer: 243.6
Step-by-step explanation:
For us to solve the question and round off 243.583 to the nearest tenth. First, we need to look at the number beside the tenth number which is 8.
Since 8 is more than 4, we simply add 1 to the tenth number which implies that we add 1 to the number in tenth place which is 5. Adding one means the number change to 6. Therefore, rounding 243.583 to the nearest tenth will be 243.6.
I could be wrong on this..
9) yes
10) If you live in Georgia, then you live in Atlanta
11) If three points are collinear, then they are coplanar.
if three points are coplanar, the they are collinear.
