A. If the radius of the sphere is r, what is the height of the cylinder H=4√r
B The volume of the sphere will be V=4πr³
<h3>What is volume?</h3>
Volume is defined as the space occupied by any object in the three-Dimenions. All three parameters are required for the volume like length, width and height of cube or cuboid.
Here for the part A If the radius of the sphere is r, what is the height of the cylinder the solution will be given as:-
The Volume of sphere = Volume of cylinder
4πr³=(π÷4) r²H
H=16r
H=4√r
Hence the height of the cylinder will be H=4√r
B. The volume of the shapes will be given as:-
(1) Volume of cylinder = (π÷4)r²H
Here r= radius of the cylinder
H = height of the cylinder
(2) The Volume of the Sphere=4πr³
Here r= radius of the cylinder
(3) The Volume of cone=(1÷3)πr³l
Here r = radius of the base
l=slant height of the cone
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Mean = sum of data/number of data pieces
numbers of hours of work per day = 6, 7, 8, 9, 10
sum of data / number of data pieces
6+7+8+9+10/5
40/5
8
The mean of the hours worked each day is 8.
Therefore Ryan is correct. Mean is the calculation of the sum of all the data divided by the number of data pieces. I added all the data together and got 40. There are 5 data pieces. So I divided 40 by 5 and got 8.
So we need to know the likelihood for each sum. the first sum is 2, and there is no way for one of the die to equal 6 if the sum is 2, therefore the probability is 0. The same applies when the sum is 3, 4, 5, and 6. Once the sum gets to 7, you must evaluate all possible options.
For 7, your options are 1&6, 2&5, 3&4, 4&3, 5&2, 6&1, where the number before the ampersand is the first die, and the number after is the second. there is only one option of the 6 choices where the first die is 6, therefore the probability is 1/6.
For 8, the options are 2&6, 3&5, 4&4, 5&3, 6&2. so of the 5 choices, there is only one option, therefore the probability is 1/5.
For 9, the choices are 3&6, 4&5, 5&4, 6&3. So of the 4 choices, there is 1 option, therefore the probability is 1/4.
For 10, the options are 4&6, 5&5, 6&4. Of the 3 choices, there is 1 option, therefore the probability is 1/3.
For 11, the options are 5&6, 6&5. Of the 2 choices, there is 1 option, therefore the probability is 1/2.
Finally, for 12, the only option is 6&6. There is only one choice, so the probability is 1.
Answer:
<em>y</em> = (5/3)<em>x</em> - 9
Step-by-step explanation:
First, find the slope (rise over run):
m = (-9 - (-14)) / (0 - (-3)) = (-9 + 14) / (0 + 3) = 5/3
Use the point-slope form equation with the given points (-3, -14):
y + 14 = (5/3)(x + 3)
or optionally in slope intercept form:
<em>y</em> = (5/3)<em>x</em> - 9
