Answer:
In this case Jack is only using a part or sample of the total population, so he is doing a sample standard deviation. When you use the total population you are doing a population standard deviation, otherwise, it’s always going to be the sample standard deviation.
Both deviations have different notations. The notation for this type of standard deviation (the one used by Jack) is:
"n" for the number of observations (lowercase)
"x-bar" for the average of the sample
"s" for the standard deviation
"s^2" for the variance
2/7y + 5 = 9
Subtract 5 from both sides
2/7y = 4
Multiply both sides by 7
2y = 28
Divide both sides by 2
<em><u>y = 14</u></em>
Answer:
Therefore the Area of Rhombus ABCD is 36 unit².
Step-by-step explanation:
Given:
ABCD is a Rhombus
A = (-1,0)
B = (5,-3)
C = (-1,-6)
D = (-7 ,-3)
To Find:
Area of Rhombus ABCD = ?
Solution:
We know that Area of Rhombus is given as

Where ,
d₁ and d₂ are the Diagonals.
We have,
Diagonals as AC and BD,
Using Distance Formula we get

Substituting coordinates A and C we get

Similarly for BD we have,

Now Substituting AC and BD in Formula we get


Therefore the Area of Rhombus ABCD is 36 unit².
In this case you the probabilities can be multiplied similarly to if you flipped a coin twice. .45 * .80 = .36
Answer:
3052.08
Step-by-step explanation:
We use the volume formula for spheres
πr³
Plug in 9cm for radius and evaluate
π(9)³
π*729
3052.08