Answer:
Expected number = mean = 144
Standard deviation = 5.37
Step-by-step explanation:
As you have two options (on time / delay) we are talking about using a Binomial distribution.
Expected number that will arrive on time is the same as expected value (mean).
mean = expected value = np = (180)(0.8) = 144
std dev = √[np{1-p)] = √[180{0.8*(1-0.8)}] =√[180{0.8*0.2)}] = 5.37
Answer:
the first
Step-by-step explanation:
yes
Step-by-step explanation:
Area of shaded region = area of exterior rectangle - area of interior rectangle
Answer:
Step-by-step explanation:
Given: Pauline withdrew $7.50 each day from her saving account.
She withdrew money for 3 days.
As Pauline is withdrawing the money, therefore the amount will be in negative
Now finding the expression for total amount of money withdrew.
Total money withdrew =
∴ Total money withdrew =
Hence, the expression to determine the total amount of money she withdrew is and Total money she withdrew is -$22.5
Answer:
a) 400 meters
b) 67 meters
c) 124.790 meters
Step-by-step explanation:
Given data :
g1 = - 0.4 %
g2 = +2 %
change of grade of sag curve ( a ) = 0.6 %
Elevation of PVI ( h2 ) = 124.80 m
a) compute the length of the curve using the relation below
a = . hence ; L = ( g2 - g1 ) / a
L = ( 2 -(-0.4 ) / 0.6
= 2.4 / 0.6 = 4
= <em>400 meters</em>
<u>b) compute the elevation of the lowest point of the curve</u>
slope of the vertical curve = 0
0 = 2ax l + b
= 2( ) x + g1
∴ x = = ( 0.4 * 4 ) / ( 2 + 0.4 ) = 1.6 / 2.4 = 0.67 stations
therefore x ( elevation of the lowest point ) = <em>67 meters</em>
C<u>) compute the elevation at Sta. 12 + 125.60</u>
Given that the rate of change of elevation is the same at all points
= = 0.4 -------- ( 1 )
where h2 = 124.80
h1 = ? ( elevation of p0 ) at 12 + 125.60
PVI = 12 + 150.06
p0 = 12 + 125.60
back to the above equation
- h1 = 0.4 ( PVI - P0 ) - h2
= 0.4 ( 12.150 - 12.1256 ) - 124.80
-h1 = -124.790
hence h1 = 124.790 m