Answer:
t = -0.061
Step-by-step explanation:
We are given;
Population mean; μ = 5.9
Sample mean; x¯ = 5.6
Sample size; n = 24
standard deviation; σ = 1
Significance level = 0.02
Formula for the test statistic since sample size is less than 30 is;
t = (x¯ - μ)/(σ/√n)
t = (5.6 - 5.9)/(1/√24)
t = -0.3/(1/√24)
t = -0.061
Answer:
The volume of a sphere of radius r is:
S = (4/3)*pi*r^3
The volume of a cylinder of radius r and height h is:
C = pi*r^2*h
For this problem the height of the cylinders will be equal to the diameter of the spheres, which is equal to two times the radius.
First, let's use the radius: r = 2.
The volume of the sphere will be:
S = (4/3)*3.14*(2)^3 = 33.49
The volume of the cylinder, where h = 2*2 = 4, is:
C = 3.14*(2^2)*4 = 50.24
Now, let's choose the radius r = 3.
The volume of the sphere will be:
S = (4/3)*3.14*3^3 = 113.04
The volume of a cylinder with this radius and h = 3*2 = 6, is:
C = 3.14*(3^2)*6 = 169.56
Answer:
12.5
Step-by-step explanation:
4+21=25
25/2=12.5
Calculating the unit rate is not that problematic if you can understand the requirement. Using the details given the answer to the question can be easily determined.
Number of miles that it goes in 22 gallons = 346
Then
Number of miles that it goes in 1 gallon = (346/22) miles
= 15.73 miles
So
The unit rate to this equation is 15.73 miles per gallon. I hope the procedure is clear enough for you to understand.You can always use this procedure for solving similar problems in future.
Hey there, below you will find the work and answer to your question.
2x-5=4
First lets get the 2x by itself so we have to add 5 on both sides.
2x-5=4
+5 +5
2x=9
Now we need to get the X by itself so divide each side by 2
Now we are left with the following
X=
We must simplfy the fraction
2 will go into 9 four times with 1 left over. So the mixed fraction answer would be:
x=
As a decimal you would just divide 9 and 2
x=4.5
Hope this helped!
