Which is the number of boys and girls? Are boys 9 and girls 47?
Step-by-step explanation:
5×16+4×9=116
(4+6×2)-12=4
Answer:
C: a reflection across the y axis rotated 180 degrees
Step-by-step explanation:
The y axis is a vertical line, the same like that the trapezoid is flipped across
The trapezoid is rotated 180 degrees across the y axis
In the second equation:
Subtract 8x from both sides.
2z = 22 - 8x
Divide 2 on both sides.
z = 11 - 4x
Plug this into the first equation.
-66 - 2(11 - 4x) = -196
-66 - 22 + 8x = -196
Combine like terms.
-88 + 8x = -196
Add 88 to both sides.
8x = -108
Divide 8 on both sides.
x = -13.5
Put this into the second equation.
8(-13.5) + 2z = 22
-108 + 2z = 22
Add 108 to both sides.
2z = 130
Divide 2 on both sides.
z = 65
and
x = -13.5
Hope this helps!
Answer:
Expected value E = $0.45
Step-by-step explanation:
Expected value E = P×w - P'×l
Where;
P = probability of making the next 2 throw.
P = 223/406 × 223/406 = 0.3017
P' = probability of not making a throw.
P' = 1 - P = 1 - 0.3017
P' = 0.6983
w = expected win = $20
l = Expected loss = $8
Substituting the values;
E = 0.3017 × $20 - 0.6983 × $8
E = $0.4476
Expected value E = $0.45