Answer:
50%
Step-by-step explanation:
Let :
Winter = W
Summer = S
P(W) = 0.85
P(S) = 0.65
Recall:
P(W u S) = p(W) + p(S) - p(W n S)
Since, none of them did not like both seasons, P(W u S) = 1
Hence,
1 = 0.85 + 0.65 - p(both)
p(both) = 0.85 + 0.65 - 1
p(both) = 1.50 - 1
p(both) = 0.5
Hence percentage who like both = 0.5 * 100% = 50%
Answer:
B = 12.8 cm (to 1.d.p)
D = 24.1 cm (to 1.d.p)
Step-by-step explanation:
Using Pythagoras Theorem:
B: 4^2 + 3.5^2 = 28.25
square root 28.25 = 5.3 (to 1 decimal place) so this is the length of the missing side.
To find perimeter add sides a, b and c so...
perimeter of triangle B = 12.8 cm (to 1 decimal place)
D: 10^2 - 6.5^2 = 57.75
square root 57.75 = 7.6 (to 1 decimal place) so this is the length of the missing side.
To find perimeter add sides a, b and c so...
perimeter of triangle D = 24.1 cm (to 1 decimal place)
^2 indicates squared
Sorry but I'm not too sure / confident about A or C
Answer: T=4
Step-by-step explanation:
Answer:
a) d²y/dx² = ½ x + y − ½
b) Relative minimum
Step-by-step explanation:
a) Take the derivative with respect to x.
dy/dx = ½ x + y − 1
d²y/dx² = ½ + dy/dx
d²y/dx² = ½ + (½ x + y − 1)
d²y/dx² = ½ x + y − ½
b) At (0, 1), the first and second derivatives are:
dy/dx = ½ (0) + (1) − 1
dy/dx = 0
d²y/dx² = ½ (0) + (1) − ½
d²y/dx² = ½
The first derivative is 0, and the second derivative is positive (concave up). Therefore, the point is a relative minimum.
