<span>15-h)*h=40
15h-h^2=40
h^2-15h+40=0
solve for h by quadratic formula:
a=1, b=-15, c=20
ans:
h=3.47 or 11.53 cm (height)
b=15-h=11.53 or 3.47 cm (base)</span>
Answer:
(0, 1)
(-1, -1)
(1,3)
Step-by-step explanation:
Given the function;
y = 2x + 1
when x = 0
y = 2(0)+1
y = 1
Hence the required pair is (0, 1)
when x = -1
y = 2(-1) + 1
y = -2 + 1
y = -1
Hence the coordinate is (-1, -1)
when x = 1
y = 2(1) + 1
y = 2 + 1
y =3
Hence the coordinate is (1, 3)
Step-by-step explanation:
-4 (-x + 2) = 2 (3x - 7)
2x-4=3x-7
x=3
The events A and B are not independent.
Given that,
P(A|B) = 0.4
P(A) = 0.5
P(B) = 0.8
Two events A and B are said to be independent, if P(A∩B) = P(A) P(B)
We have, P(A|B) = P(A∩B)/P(B)
Therefore, P(A∩B) = P(A|B) P(B) = 0.4 x 0.8 = 0.32
Now P(A) P(B) = 0.5 x 0.8 = 0.4
So P(A∩B) ≠ P(A)P(B)
Therefore, the events A and B are not independent.
Learn more about independent events at brainly.com/question/22881926
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