Answer:
17. surface area ≈ 441.84
04π m² or 1387.38 m²
18. Ratio of volumes = 8/27
19. volume of the smaller solid = 339 yards³
Step-by-step explanation:
17 .
To find the surface area of the sphere we have to find the radius of the sphere first.
volume of a sphere = 4/3πr³
volume = 1548π m³
r = ?
volume of a sphere = 4/3πr³
1548π = 4/3 × π × r³
multiply both sides by 3/4
1548π × 3/4 = πr³
4644π/4 = πr³
1161π = πr³
divide both sides by π
r³ = 1161
cube root both sides
r = ∛1161
r = 10.5101942
r ≈ 10. 51
surface area of a sphere = 4πr²
surface area = 4 × π × 10.51²
surface area = 4 × 110.4601 × π
surface area = 441.8404π m²
surface area = 441.8404 × 3.14 = 1387.378856 m² ≈ 1387.38 m²
18
If two figure or solid are similar with scale factor or ratio of x/y then the ratio of their volume is (x/y)³. If the ratio of of two similar prism is 2 : 3 the volume will be (2/3)³ = 8/27 .
19
If two solids are similar then the ratio of their surface area is the squared of the scale factor.
121/361 = (x/y)²
square root both sides
x/y = 11/19
If two solids are similar then the ratio of their volume is the cube of the scale factor.
(11/19)³ = a/1747
1331/6859 = a/1747
cross multiply
6859a = 2325257
divide both sides by 6859
a = 2325257/6859
a = 339.008164455
a ≈ 339 yards³
volume of the smaller solid ≈ 339 yards³
The y intercept is the point where the line passes through on the y-axis.for example on the graph that I showed we can see how the line passes through the 1 on the y-axis. This means 1 is our y-intercept. If you are still confused let me know lol
Answer:
y = -x
Step-by-step explanation:
it because the reflection change the value of x become -y
so the reflection we can use is the line y = -x
Answer:
Standard deviation measures Total risk while beta measures Systematic risk.
Step-by-step explanation:
The total risk is the total variability of the portfolio and includes the systematic risk and the unique risk.
The systematic risk is measured by the beta coefficient and it considers the no diversified risk such as changes in the global market. Unique risks are the ones that result from factors specifically related to the company.
Answer:
Minimum percent of the vote that candidate Towne is expected to recieve:
m=51% - 6.3% * 51% =47.787%
Maximum percent of the vote that candidate Towne is expected to recieve:
M=51% + 6.3% * 51% = 54.213%
Solution:
Margin of error: E=6.3%
Minimum percent of the vote that candidate Towne is expected to recieve:
m=51% - E * 51%
m=51% - 6.3% * 51%
m=51% - 51% * 6.3 / 100
m=51% - 3.213%
m=47.787%
Maximum percent of the vote that candidate Towne is expected to recieve:
M=51% + E * 51%
M=51% + 6.3% * 51%
M=51% + 51% * 6.3 / 100
M=51% + 3.213%
M=54.213%
