Answer:
2 and 3
Step-by-step explanation:
prime numbers=2,3,4,5,...
taking 2 and 3
2+3=5
5²=25
hence the different prime numbers are 2 and 3
Answer:
Step-by-step explanation:
i dont really know how to explain it..but im pretty sure its the 4th one i hoped this helped a little.. it shows that you end up with the same amount on each side..? thats the only way i can put it ..
Answer:
By an online search, i found that the table is:
x = 0° 30° 60° 90° 120° 150° 180°
y= 10 4+3*√3 7 4 1 4 -3*√3 -2
Where x is in degrees.
And we want to find the value of y, when x = 45°.
And our equation is:
y = a*cos(x) + b
Notice that we have two variables in our equation, a and b, then we need to choose two of the points in the table to write equations.
I will choose te points
x = 0°, y = 10
and
x = 90°, y = 4
Now we can replace these values in the equatio to get:
10 = a*cos(0°) + b
4 = a*cos(90°) + b
We know that:
cos(0°) = 1
cos(90°) = 0
(because of those relationships is that i choosen these points)
Replacing that in the equations, we get:
10 = a*1 + b = a + b
4 = a*0 + b = b
From the second equation, we get:
b = 4
Now we can replace this in the first equation to get:
10 = a + b = a + 4
10 - 4 = a = 6
Then our equation is:
y = 6*cos(x) + 4.
Now we want to find the value of y when x = 45, to do it, we just replace the value of x in that equation:
y = 6*cos(45°) + 4 = 6*(√2/2) + 4 = 8.24
Answer:
Step-by-step explanation:
-4xy^3*5xy^4
-4*5*x^1+1*y^5+3
-20x^2y^8
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