He is 38 kg.
I'll use only the first letters of their names, to make it simpler:
S+L=54.75
S+M=105
M=4L
S+4L=105
105-54.75=4L-L=3L
L=50.25/3=16.75
S=54.75-16.75=38
Step-by-step explanation:
With each draw, the probability of selecting a green marble is 2/3 and the probability of selecting a yellow marble is 1/3.
To pick two of the the same color, they can either pick green twice or yellow twice.
P = (2/3)(2/3) + (1/3)(1/3)
P = 5/9
To pick two different colors, they can either pick green first then yellow, or yellow first then green.
P = (2/3)(1/3) + (1/3)(2/3)
P = 4/9
Expected value for Derek is:
D = (5/9)(-1) + (4/9)(1)
D = -1/9
The expected value for Mia is:
M = (5/9)(1) + (4/9)(-1)
M = 1/9
Answer:
x = 105°
Step-by-step explanation:
Question :

You can use cross multiplication to solve this.
Let us solve now

12 × x = 35 × 36
12x = 1260
Divide both sides by 12.
x = 105°
Hope this helps you :-)
Answer:
The corresponding point is (3,-8)
Step-by-step explanation:
we know that
When you add a constant value (k), to the argument of a function, the graph is shifted k units to the left.
so
In this problem
The rule of the transformation is equal to
f(x) ------> f(x+2)
(x,y) ------> (x-2,y)
(5,-8) -----> (5-2,-8)
(5,-8) -----> (3,-8)