Take
, so that
, and you have
Integrate by parts, setting
and
, which give
and
. Then
which in terms of
is
where the last term uses the property that
, and the
term is absorbed into
.
Answer:
the mean is 18.2, median is 16, and there is no mode
Step-by-step explanation:
Answer:
adults = 40
children = 68
Step-by-step explanation:
Let the children=c
Let the adults = a
<em><u>Equations</u></em>
a + c = 108 (1)
3.75a + 1.5c = 252 (2)
Multiply (1) by 1.5
1.5a + 1.5c = 162 (3)
Subtract (3) from (2)
3.75a + 1.5c = 252
1.5 a + 1.5c = <u>162</u> Subtract
2.25a = 90 Divide by 2.25
a = 90/2.25
a = 40
<em><u>Find the number of children</u></em>
a + c = 108
40 + c = 108
c = 108 - 40
c = 68
<em><u>Check</u></em>
LHS
3.75 * 40 + 1.50 * 68
150 + 102
252 Which checks with the right hand side.
Answer:
D
Step-by-step explanation:
ANSWER IS D