The value of the expression is -24
This is because you distribute the -4 to both of the values in the parenthesis like this:
-4(7) + -4(-1)
This can be simplified to:
-28 + 4
Which equals -24
Hope this helps!
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:
1 / 27 cm^3
Step-by-step explanation:
Given,
side = 1 / 3 cm
To find : Volume ( cube ) = ?
Formula : -
Volume ( cube ) = ( side )^3
Volume ( cube )
= ( 1 / 3 )^3
= 1^3 / 3^3
= 1 / 27
= 1 / 27 cm^3
Answer:
1. Exponential decay
2. 18%
Step-by-step explanation:
Answer:
about 20
Step-by-step explanation:
its kindergarden math
