Male life expectancy. The life expectancy for males born during 1980 - 1985 was approximately 70.7 years. This grew to 71.1 years during 1985 - 1990 and to 71.8 years during 1990 - 1995 . Construct a model for this data by finding a quadratic equation whose graph passes through the points 0 , 70.7 , 5 , 71.1 and 10 , 71.8 . Use this model to estimate the life expectancy far males born between 1995 and 000 and for those born between 2000 and 2005 .
Male life expectancy. The life expectancy for males born during 1980 - 1985 was approximately 70.7 years. This grew to 71.1 years during 1985 - 1990 and to 71.8 years during 1990 - 1995 . Construct a model for this data by finding a quadratic equation whose graph passes through the points 0 , 70.7 , 5 , 71.1 and 10 , 71.8 . Use this model to estimate the life expectancy far males born between 1995 and 000 and for those born between 2000 and 2005 .
Solution Summary: The author calculates the model for the data of life expectancy for males by finding the quadratic equation that passes through the points (0,70.7).
Male life expectancy. The life expectancy for males born during
1980
-
1985
was approximately
70.7
years. This grew to
71.1
years during
1985
-
1990
and to
71.8
years during
1990
-
1995
. Construct a model for this data by finding a quadratic equation whose graph passes through the points
0
,
70.7
,
5
,
71.1
and
10
,
71.8
. Use this model to estimate the life expectancy far males born between
1995
and
000
and for those born between
2000
and
2005
.
Formula Formula A polynomial with degree 2 is called a quadratic polynomial. A quadratic equation can be simplified to the standard form: ax² + bx + c = 0 Where, a ≠ 0. A, b, c are coefficients. c is also called "constant". 'x' is the unknown quantity
A: Tan Latitude / Tan P
A = Tan 04° 30'/ Tan 77° 50.3'
A= 0.016960 803 S CA named opposite to latitude,
except when hour angle between 090° and 270°)
B: Tan Declination | Sin P
B Tan 052° 42.1'/ Sin 77° 50.3'
B = 1.34 2905601 SCB is alway named same as
declination)
C = A + B = 1.35 9866404 S CC correction, A+/- B:
if A and B have same name - add, If
different name- subtract)
=
Tan Azimuth 1/Ccx cos Latitude)
Tan Azimuth = 0.737640253
Azimuth
=
S 36.4° E CAzimuth takes combined
name of C correction and Hour Angle - If LHA
is between 0° and 180°, it is named "west", if
LHA is between 180° and 360° it is named "east"
True Azimuth= 143.6°
Compass Azimuth = 145.0°
Compass Error = 1.4° West
Variation 4.0 East
Deviation: 5.4 West
A: Tan Latitude / Tan P
A = Tan 04° 30'/ Tan 77° 50.3'
A= 0.016960 803 S CA named opposite to latitude,
except when hour angle between 090° and 270°)
B: Tan Declination | Sin P
B Tan 052° 42.1'/ Sin 77° 50.3'
B = 1.34 2905601 SCB is alway named same as
declination)
C = A + B = 1.35 9866404 S CC correction, A+/- B:
if A and B have same name - add, If
different name- subtract)
=
Tan Azimuth 1/Ccx cos Latitude)
Tan Azimuth = 0.737640253
Azimuth
=
S 36.4° E CAzimuth takes combined
name of C correction and Hour Angle - If LHA
is between 0° and 180°, it is named "west", if
LHA is between 180° and 360° it is named "east"
True Azimuth= 143.6°
Compass Azimuth = 145.0°
Compass Error = 1.4° West
Variation 4.0 East
Deviation: 5.4 West
Direction: Strictly write in 4 bond paper, because my activity
sheet is have 4 spaces. This is actually for maritime.
industry course, but I think geometry can do this.
use nautical almanac.
Sample Calculation (Amplitude- Sun):
On 07th May 2006 at Sunset, a vesel in position 10°00'N
0 10°00' W observed the sun bearing 288° by compass. Find
the
compass error.
LMT Sunset
07d
18h
13m
(+)00d
00h
40 м
LIT:
UTC Sunset:
07d
18h
53 m
added - since
longitude is
westerly
Declination Co7d 18h): N016° 55.5'
d(0.7):
(+)
00-6
N016 56.1'
Declination Sun:
Sin Amplitude Sin Declination (Los Latitude
- Sin 016° 56.1'/Cos 10°00'
= 0.295780189
Amplitude = WI. 2N (The prefix of amplitude is
named easterly if body is rising.
and westerly of body is setting.
The suffix is named came as
declination.)
True Bearing: 287.20
Compass Bearing
288.0°
Compass Error: 0.8' West
Elementary Statistics: Picturing the World (7th Edition)
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