The Farmer Supply is building storage building for fertilizer shaped top. The that has cylindrica base and cone county laws say
1 answer:
Assuming ℎ1 = 11 feet and ℎ 2 = 3 feet, the storage of the facility is going to be 603 cubic feet, which is more than 576 cubic feet
The diameter of the building has been given as 8cm
radius = d/2 = 8/2 = 4
Maximum height = h1 + h2 = 14
Find the volume of the fertilizer that is containeed in both of the trucks
2(12x4x6) = 576 feet
From the height of 14 feets we have to assume
h1 = 11 ft,
h2 = 3 ft
<h3>How to solve for volume</h3>= 0.333*3.14*4²*3 + 3.14*4²*11
= 602.8 ft ≈ 603
Read more on volume here: brainly.com/question/12410983
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The confidence interval would be
.
We use the formula
, where
, with p being the sample proportion and N being the sample size.
First we find the z-score associated with this level of confidence:
Convert 95% to a decimal: 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.
Since 578/720 said yes, this gives us p=0.80:
This gives us
We use the formula
First we find the z-score associated with this level of confidence:
Convert 95% to a decimal: 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.
Since 578/720 said yes, this gives us p=0.80:
This gives us
Answer:
1. 〈x,y,z〉=〈−1,−7,3〉+t〈−4,−5,−6〉 F
2. 〈x,y,z〉=〈−1,−7,3〉+t〈3,−2,9〉 F
3. 〈x,y,z〉=〈−1,−7,3〉+t〈4,5,6〉 T
4. 〈x,y,z〉=〈3,−2,9〉+t〈−1,−7,3〉 F
5. 〈x,y,z〉=〈3,−2,9〉+t〈4,5,6〉 F
Step-by-step explanation:
The vector AB is the vectorial difference between point A and B, that is:
Given that and
, the vector AB is:
The vectorial equation of the line is represented by:
Where is the parametric variable, dimensionless. Given that
and
Finally, the list of questions are now checked:
1. 〈x,y,z〉=〈−1,−7,3〉+t〈−4,−5,−6〉 F
2. 〈x,y,z〉=〈−1,−7,3〉+t〈3,−2,9〉 F
3. 〈x,y,z〉=〈−1,−7,3〉+t〈4,5,6〉 T
4. 〈x,y,z〉=〈3,−2,9〉+t〈−1,−7,3〉 F
5. 〈x,y,z〉=〈3,−2,9〉+t〈4,5,6〉 F