Answer
I can't tell what you're asking but here is all the things
Step-by-step explanation:
Total Numbers: 10
Mean (Average): 7.9
SD: 4.38305
Variance (SD): 19.21111
Population SD: 4.15812
Variance(Population SD): 17.29
Answer:
Manuel would be correct, the volumes would be equal.
Step-by-step explanation:
The formulae for finding the volume of pyramids and cones both include dividing three (multiplying by 
).
Square pyramid formula: ×B×h where B is the area of the base. By plugging in numbers we have that B=314.159 and h=5. 314.159××5=523.5983.
Cone formula: The basic formula is the same: ×B×h, but the area of the base is found using the circle formula of π×r². For the cone we have B=314.159 and h=5. 314.159××5=523.5983.
Since both of these formulas came up with the same answer, we can conclude that Cone W has the same volume as Pyramid X, which is Manuel's answer.
8 x 8 x 8 x 8 x 8 x 8 x 8
64 x 64 x 64 x 8
4096 x 512
=2 097 152
First problem:
n/4 + 2 = -9
-2 -2
n/4 = -11
x4 x4
n = -44
Check:
-44/4 + 2 = -9
-11 + 2 = -9
-9 = -9
Second problem:
3/4x = -12
0.75x = -12
-------- ----
0.75 0.75
x = -16
3/4 * (-16) = -12 OR 0.75 * (-16) = -12
-12 = -12
Still get the same answer.
Answer:
34 = 2A + 1B + 4C
35 = 3A + 2B+ 2C
49 = 5A + 3B+ 2C
Pairs the 1st and 2nd equation, then eliminates C:
34 = 2A + 1B + 4C
35 = 3A + 2B + 2C
34 = 2A + 1B + 4C
-70 = -6A + -4B + -4C <---- multiplies 2nd equation by -2
Adds them together
-36 = -4A + -3B
36 = 4A + 3B <----- please label this equation ALPHA
Next, pairs the 2nd and 3rd equations, and eliminates C:
35 = 3A + 2B+ 2C
49 = 5A + 3B+ 2C
Subtracts the top equation from the bottom:
49-35 = 5a-3a + 3b-2b + 2c-2c
14 = 2a + b <--- please label this equation BETA
ALPHA: 36 = 4A + 3B
BETA: 14 = 2a + b
Solves the 2x2 system by substitution:
BETA: 14 - 2a = b <---- solves equation BETA for b
Substitutes into equation ALPHA:
36 = 4a + 3(14 - 2a)
36 = 4a + 42 - 6a
36 = 42 - 2a
-6 = -2a
a=3
b = 14 - 2a = 14 - 2(3) = 14 - 6 = 8
34 = 2a + b+ 4c
34 = 2(3)+ 8 + 4c
34 = 6+8 + 4c
34 = 14 + 4c
20 = 4c
c=5
1 pound of apples cost $3
1 pound of berries cost $8
1 pound of cherries cost $5
