Answer:
Data: (Cylinder)
h (height) = 8 cm
r (radius) = 5 cm
Adopting:
V (volume) = ?
Solving:(Cylinder volume)
Note: Now, let's find the volume of a hemisphere.
Data: (hemisphere volume)
V (volume) = ?
r (radius) = 5 cm
Adopting:
If: We know that the volume of a sphere is , but we have a hemisphere, so the formula will be half the volume of the hemisphere
Formula: (Volume of the hemisphere)
Solving:
Now, to find the total volume of the figure, add the values: (cylinder volume + hemisphere volume)
Volume of the figure = cylinder volume + hemisphere volume
Volume of the figure = 628 cm³ + 261.6 cm³
Step-by-step explanation:
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Answer:
slope= 0.52
Step-by-step explanation:
For American women
Mean (x) = 64 inches
Standard deviation (sx) = 2.7 inches
For American Men
Mean(ÿ) = 69.3 inches
Standard deviation (sy) = 2.8 inches
r = 0.5
Slope = ??
Husband height = Y
Wife height = X
the general equation of regression line
y = a + bx
The slope of the regression line is the linear correlation coefficient multiplied by the standard deviation for Y
b = r (sy/sx)
b = 0.5(2.8/2.7)
b = 0.52
The intercept a = ÿ - bx
a = 69.3 - 0.52(64)
a = 69.3 - 33.28
a = 36.02
The equation of the regression line y = a + bx
y = 36.02 + 0.52x
Answer:
25 mi^2
Step-by-step explanation:
2.5^2 = 6.25
6.25 * 4 = 25
Given:
The equation is
To find:
The solution for the given equation.
Solution:
We have,
Isolate the variable terms on the left side, we get
Therefore, the value of y is -4.