Answer:134
Step-by-step explanation:
Answer:
A rectangular prism has 3 measurements: length (l), width (w), and height (h)
The volume of a rectangular prism has the formula: V=lwh
The area of the base of the rectangular prism is its length times its width; or
Area of base = lw
So, the volume of the rectangular prism can be written as:
Volume = area of the base * height
Substitute in your numbers:
192=48*h
h=192/48
h=4
So the height is 4 feet
Step-by-step explanation: Hope this helps. :))
Answer:
Linear correlation exists
Step-by-step explanation:
Given the data :
X : | 2 4 5 6
Y : | 6 9 8 10
Using technology to fit the data and obtain the correlation Coefficient of the regression model,
The Correlation Coefficient, r is 0.886
To test if there exists a linear correlation :
Test statistic :
T = r / √(1 - r²) / (n - 2)
n = number of observations
T = 0.886 / √(1 - 0.886²) / (4 - 2)
T = 0.866 / 0.3535845
T = 2.449
Comparing Pvalue with α
If Pvalue < α ; Reject H0
Pvalue = 0.1143
α = 0.05
Pvalue > α ; We reject the null and conclude that linear correlation exists
Answer:
m^2-3m-180=0
m=15
Step-by-step explanation:
greater integer = m
small integer = n
we know that m = n+3 or n = m-3
we also know that n*m = 180
replace n for m-3
(m-3)*m=180
or
m^2-3m-180 = 0
(m-15)(m+12)=0
so m = 15 or -12, but since problem states positive, m=15
Answer:L=4 W=15
Step-by-step explanation:
P=2L+2W
38-8=30
If length is 8 less than twice the width and the perimeter is 38, then subtract 38-8 which is 30, then divide 30 by 2 to get 15.
P=2(4) +2(15)
P=38
