Answer:
$1.46
Step-by-step explanation:
Required cards for winning :
1's, 2's and 3's
There are 4 cards of each in a total of 52 cards ;
Therefore, number of winning cards ;
(4 * 3) = 12 cards
Hence,
P(winning) = 12 / 52 = 3 / 13
P(not winning) = 1 - 3 /13 = (13 - 3) / 13 = 10/13
Earning (X)
Amount earned for winning = $43
Amount lost for not winning = $11
X ___ $43 ______ - $11
P(X) _ 3/13 _______ 10/13
Expected value, E(X) = ΣX*P(X)
Σ(X) = (43 * 3/13) + (-11 * 10/13)
E(X) = 9.9230769 - 8.4615384
E(X) = 1.4615385
E(X) = $1.46
Answer:
obtuse isosceles
Step-by-step explanation:
A number less than or equal to 3 will add one point a 4 will lose two points
It is given to us that the formula to determine the speed of the car is:
where: S = speed in miles per hour
30 = a constant value used in the equation
D = length of the skid marks in feet
f = drag factor for the road surface
n = braking efficiency as a percent
It is also given to us that average length of skid is 60 feet so D=60.
Drag Factor, f=0.75
And Brake efficiency, n=100%=1
Thus, using the given data in the Formula for calculating the speed we get:
miles per hour.
Thus, from the given set of options, the third option which has 37 is the correct option.
Answer:
KE = 900,000t²
Step-by-step explanation:
The formula for calculating the kinetic energy of a body is expressed as KE = 1/2mv² where;
m is the mass of the sport car = 2000kg
v is the velocity of the car
Since v = at
v = 30t
Substituting the given values into the KE formula;
KE 1/2 * 2000 * (30t)²
KE = 1000*900t²
KE = 900,000t² Joules where t is the time measured in seconds
