Answer:
153 times
Step-by-step explanation:
We have to flip the coin in order to obtain a 95.8% confidence interval of width of at most .14
Width = 0.14
ME = 
ME = 
ME = 
use p = 0.5
z at 95.8% is 1.727(using calculator)
So, Option B is true
Hence we have to flip 153 times the coin in order to obtain a 95.8% confidence interval of width of at most .14 for the probability of flipping a head
Answer:
Option A. The volume of the sphere is multiplied by 1/343.
Step-by-step explanation:
The volume of a sphere can be obtained by the following formula:
V = 4/3πr^3
Let the initial volume (V1) of the sphere be:
V1 = 4/3πr^3 = (4πr^3)/3
Now, if we multiply the radius by 1/7, then the new volume (V2) of the sphere will be:
V2 = 4/3 x π x (1/7r)^3
V2 = 4/3 x π x 1/343r^3
V2 = (4πr^3)/1029
Now we determine the ratio of V2 : V1 as shown below:
V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3
V2/V1 = (4πr^3)/1029 × 3/(4πr^3)
V2/V1 = 3/1029
V2/V1 = 1/343
V2 = 1/343 x V1
Therefore, the volume of the sphere is multiplied by 1/343.
For the answer to the question above,
Let's use the formula for finding the volume.
(pi) x 2/9 x 2/9 x r^2
(pi) x <u>2</u> x <u>2</u> x r^ 2 x 4h
9 9
simplify and solve.
The the will be
<u>16 </u>(pi) r^2h
81
I hope I helped you in my answer
Yes it’s a function bc if u graph it no two points are on the same x or y point so it passes the vertical line test making it a function
