Answer:
(0,-3) because its the coordinate
Answer:
180 minutes
Step-by-step explanation:
take 1,620 divide it by 9 and there is your answer
hope this helped
Answer:
41.5 ft
Step-by-step explanation:
From the information given, and definition of midpoint, we know that:
AB = BC = ½ AC
AC = CE = ½ AE
CD = DE = ½ CE
GF = FE = ½ GE
HG = GE = ½ HE
AI = IH = ½ AH
AJ = JI = ½ AI
We also know:
AH = 20
HE = 14
GD = 4
Therefore:
AI = IH = 10
HG = GE = 7
AJ = JI = 5
GF = FE = 7/2
Next, since JB and IC are parallel with HE, we know that AJB and AIC are similar to AEH. So:
JB / 5 = 14 / 20
JB = 7/2
IC / 10 = 14 / 20
IC = 7
And since DF and CG are parallel to AH, then DFE and DGE are similar to AHE. So:
DF / (7/2) = 20 / 14
DF = 5
CG / 7 = 20 / 14
CG = 10
Next we know that AIB and AHC are similar, and DEG and CEH are similar.
IB / 10 = CH / 20
CH / 14 = 4 / 7
CH = 8, IB = 4.
We've found all the lengths inside triangle AEH. Adding them up:
JB + IB + IC + CH + CG + DG + DF
7/2 + 4 + 7 + 8 + 10 + 4 + 5
41.5
The total length of the inside bars is 41.5 ft.
They are right except for 12. i think it is C but i could be wrong.
(a) 404 subjects are needed to estimate the mean HDL cholesterol within 2 points with 99% confidence.
(b) When the confidence level decreases to 95%, the number of subjects decreases from 404 to 234.
<u>Explanation:</u>
Given:
σ = 15.6
Let the number of subjects be n
(a)
When the confidence level is 99%, then z = 2.576
E = 2
We know:
![n = [\frac{z X s}{E}]^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7Bz%20X%20s%7D%7BE%7D%5D%5E2)
On substituting the value, we get:
![n = [\frac{2.576 X 15.6}{2} ]^2\\\\n = 403.7](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7B2.576%20X%2015.6%7D%7B2%7D%20%5D%5E2%5C%5C%5C%5Cn%20%3D%20403.7)
Thus, 404 subjects are needed to estimate the mean HDL cholesterol within 2 points with 99% confidence.
(b)
When the confidence level is 95%, then z = 1.96
E = 2
We know:
On substituting the value, we get:
![n = [\frac{1.96 X 15.6}{2} ]^2\\\\n = 233.7](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7B1.96%20X%2015.6%7D%7B2%7D%20%5D%5E2%5C%5C%5C%5Cn%20%3D%20233.7)
n = 234
Thus, when the confidence level decreases to 95%, the number of subjects decreases from 404 to 234.
