Let S and L be the volumes of the smaller and larger cans respectively...
The volume of a cylinder is: V=hπr^2 so
S=hπr^2 and we are told that the larger can's dimensions are 3h and 3r respectively so:
L=(3h)π(3r)^2
L=3hπ(9r^2)
L=27hπr^2
Then S/L is:
S/L=(hπr^2)/(27hπr^2)
S/L=1/27 so we can say that:
L=27S, we are told that the volume of the smaller can is 35.28 in^3 so
L=27(35.28) in^3
L=952.56 in^3
To find the solution we will first find the difference between each number and mean, and then substitute the value in the formula of standard deviation.
The standard deviation is 8.4477 and the variance is 71.40.
Given to us
- Test scores of Adimas = (76, 87, 65, 88, 67, 84, 77, 82, 91, 85, 90)
- Mean = 81
<h3>Standard Deviation</h3>
difference between each number and mean,
= 25 + 36 + 256 + 49 + 196 + 9 + 16 + 1 + 100 +16 + 81
= 785
<h3>Variance</h3>
Variance = 
= 71.40
Hence, the standard deviation is 8.4477 and the variance is 71.40.
Learn more about Standard Deviation:
brainly.com/question/12402189
Answer:
1) 4
2) 1
3) -7
4) 13
Step-by-step explanation:
Instructions:
a) Subtract or add the slope from each side
( it doesn't matter which one you pick )
b) Subtract or add the # next to the slope from each side
( it doesn't matter which one you pick )
c) Divide Each number by the slope
d You have you answer
____________________________________________
1) 9x - 35 = - 7x + 29
+7x + 7x
_____________________
16x - 35 = 29
+ 35 +35
_____________________
16x = 64
_____________________
16 16
x = 4
2). - 2x - 2 = 9x - 13
+2x +2x
_____________________
- 2 = 11x - 13
+ 13 + 13
_____________________
11 = 11x
_____________________
11 11
1 = x
3). 3x + 29 = - 5x - 27
+5x + 5x
_____________________
8x + 29 = - 27
-29 -29
_____________________
8x = -56
_____________________
8 8
x = -7
4). x - 11 = 3x - 37
- x - x
______________________
-11 = 2x - 37
+37 +37
______________________
26 = 2x
_______________________
2 2
13 = x
Hope this helps! (:
The z-score corresponding to x = 27 is calculated as:
z = (x - mu)/SD, where mu is the population mean of 32 years, and SD = 4 years. Then,
z = (27 - 32)/4 = -1.25
From a z-table, the probability that x < 27 corresponds to the probability that z < -1.25:P(z < -1.25) = 0.1056
To find the percentage of students on the swim team all you have to do is divide the amount of students in it by the complete number of students. (66/300) That should give you your answer which is around 22%.
