I would say
B)
the correct inequality begins with y<....
and C)
the graph has a dotted line
A.) For n independent variates with the same
distribution, the standard deviation of their mean is the standard
deviation of an individual divided by the square root of the sample
size: i.e. s.d. (mean) = s.d. / sqrt(n)
Therefore, the standard deviation of of the average fill volume of 100 cans is given by 0.5 / sqrt(100) = 0.5 / 10 = 0.05
b.) In a normal distribution, P(X < x) is given by P(z < (x - mean) / s.d).
Thus, P(X < 12) = P(z < (12 - 12.1) / 0.05) = P(z < -2) = 1 - P(z < 2) = 1 - 0.97725 = 0.02275
c.) Let the required mean fill volume be u, then P(X < 12) = P(z < (12 - u) / 0.05) = 1 - P(z < (u - 12) / 0.05) = 0.005
P(z < (u - 12) / 0.05) = 1 - 0.005 = 0.995 = P(z < 2.575)
(u - 12) / 0.05 = 2.575
u - 12 = 2.575 x 0.05 = 0.12875
u = 12 + 0.12875 = 12.12875
Therefore, the mean fill volume should be 12.12875 so that the probability that the average of 100 cans is below 12 fluid ounces be 0.005.
d.) Let the required standard deviation of fill volume be s, then P(X < 12) = P(z <
(12 - 12.1) / s) = 1 - P(z < 0.1 / s) = 0.005
P(z < 0.1 / s) = 1 - 0.005 = 0.995 = P(z < 2.575)
0.1 / s = 2.575
s = 0.1 / 2.575 = 0.0388
Therefore, the standard deviation of fill volume should be 0.0388 so that the probability that the average of 100 cans is below 12 fluid ounces be 0.005.
e.) Let the required number of cans be n, then P(X < 12) = P(z <
(12 - 12.1) / (0.5/sqrt(n))) = 1 - P(z < (12.1 - 12) / (0.5/sqrt(n))) = 0.01
P(z < 0.1 / (0.5/sqrt(n))) = 1 - 0.01 = 0.99 = P(z < 2.327)
0.1 / (0.5/sqrt(n)) = 2.327
0.5/sqrt(n) = 0.1 / 2.327 = 0.0430
sqrt(n) = 0.5/0.0430 = 11.635
n = 11.635^2 = 135.37
Therefore, the number of cans that need to be measured such that the average fill volume is less than 12 fluid ounces be 0.01
Answer: 2(9b-16)
Step-by-step explanation: When factored completely it is 2(9b-16)
- The slowly increasing distance between South America and Africa is due to: a. <u>Seafloor Spreading</u>.
- Old Faithful Geyser at Yellowstone National Park in the United States of America acquires its energy from a: b. Hot Spot.
- Layered <u>sedimentary rock</u> exposed by erosion can be seen when looking at the Grand Canyon in the United States of America.
- Australia is made up of relatively old and thick: d. Continental Crust.
- The extremely deep ocean Marianas Trench is a result of: g. Subduction.
- <u>Seafloor Crust</u>: found in the Atlantic Ocean between North America and Europe comprises dense and relatively young rock.
- The earthquakes that occur in Southern California generally occur above a: f. Fault.
<h3>What is seafloor spreading?</h3>
<u>Seafloor spreading</u> can be defined as a process that involves the formation of new oceanic crust as a result of volcanic activities and an upwelling of molten magma at mid-ocean ridges, as well as a slowly increasing distance (outward movement) from the ridge.
The theory of <u>seafloor spreading</u> was established by Harry Hammond Hess and it can be used to explain in details the slowly increasing distance between South America and Africa which grows from the center.
<h3>What is a
hot spot?</h3>
A <u>hot spot</u> refers to an area deep within Earth's mantle or under the rocky outermost layer of Earth, from which heat rises through convection and acquired as heat energy by a landform.
In the United States of America, you will see a layered <u>sedimentary rock</u> that is exposed by erosion when you view the Grand Canyon.
Furthermore, Australia is made up of relatively old and thick <u>continental crust</u>. Also, <u>subduction</u> causes the formation of extremely deep ocean Marianas Trench.
Read more on seafloor spreading here: brainly.com/question/12037536
Your slope is wrong! Your slope is going to be 3/2, or C for the first problem. Your y intercept is wrong! Your Y- intercept is actually (0, -1.3) or B for the second problem.
Your equation is going to be
y= 3/2x-1.3