Answer:
the answer is 9.9997 ft
Step-by-step explanation:
the equation to find the radius is
r = √(3v / πh)
The volume of the large cylinder will be twice the volume of the small cylinder.
<u>Step-by-step explanation:</u>
Let the radius of the cylinder be 'r'
Let the height of the cylinder be'h'
Volume of the small cylinder=π r² h
Volume of the large cylinder= π r² (2h)
Volume of large cylinder/volume of small cylinder= 2/1
The large cylinder volume is twice the volume of the small cylinder.
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
Given equation, y = – 1.3(x + 3)2 – 9 is in slope intercept form.
Step-by-step explanation:
Slope intercept form standard formula:
y = mx + c
where,
y= y intercept
x= x intercept
m = slope
c = constant
We are given:
y = - 1.3(x + 3)2 - 9
y = - 2.6x + 7.8 - 9
y = -2.6x -1.2
So,
Slope = m = -2.6
constant = 1.2
$24.00. 6,000 divided by 500 is 12 times the $2 per 500 is $24