Answer:
k = 0.02278
Step-by-step explanation:
Given that:
The population P = 1674.7e^kt
where;
t represents the year,
if year 2000 represents t = 0
Then, the year 2007 represents = 7; &
year 2006 represents = 6
In 2006, population recorded in the city was about 1,920 thousand
Therefore;

Taking the logarithm of both sides, we get:

7.560080465= 7.423389324 + 6k
7.560080465 - 7.423389324 = 6k
0.136691141 = 6k
k = 0.136691141/6
k ≅ 0.02278
Answer:
<h2>

</h2>
Step-by-step explanation:

Convert the mixed number to an improper fraction

To divide by a fraction, multiply the reciprocal of that fraction

Reduce the number with the G.C.F 7

Reduce the numbers with the G.C.F 17

Reduce the numbers with the G.C.F 3

Multiply the fraction

In mixed fraction:

Hope this helps..
Good luck on your assignment...
Answer:
$10.46
Step-by-step explanation:
Amount that can be won by Alexis ( xi ) = $0, $8 , $12
probability ( pi )
P( $0 ) = 13 / 52 = 1 / 4
P( $8 ) = 15 / 39 ( given that she wins this when an even number is drawn from three remaining decks )
P ( $12 ) = 1 - 15/39 = 24 / 39
<u>a) Alexis expected winnings per game </u>
= ∑ xi * pi = ( 0 * 1/4 ) + ( 8 * 15/39 ) + ( 12 * 24 / 39 )
= $0 + ( 120 / 39 ) + ( 288 / 39 ) = $10.46
Step-by-step explanation:
the line passing through the points (-7, - 7) and (4,-7).
Slope: (-7+7) /(4+7) = 0/11 = 0
this is a horizontal line
through the points (4,7) and (4, -6).
slope: (-6-7) /(4-4) = -13/0 = oo
this is a vertical line
If you put the points into a calculator using STAT EDIT and use LinReg, you get A.