Answer:
√85
Step-by-step explanation:
A (-3 , 4) B (4 , -2)
AB² = (4 - -3)² + (-2 -4)² = 49 + 36 = 85
AB = √85
The following equation represents the function g in function notation,
g(x) = 3x - 14 [Option (A)]
Definition of a Function
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A function, in general, represents the idealized relationship between two changing quantities.
Given equation is,
y -3x = -14
⇒ y = -14 + 3x
or y = 3x - 14
Here, y stands for or represents the function g(x) which is a function of independent variable x.
Thus, the correct function notation is as follows,
g(x) = 3x - 14
Learn more about a function here:
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Answer:
To three decimal place = 0.030
Step-by-step explanation:
Let probability of death in white p (WH) = 86%
Let probability of death in black p(B) =12%
Let probability of death in Asian p(A) = 2%
Probability of death caused by diabetes among white will be 2.8% of p (WH) = 0.86 x 0.028 = 0.02408
Probability of death caused by diabetes among black will be 4.4% of p (B) = 0.12 x 0.044 = 0.00528
Probability of death caused by diabetes among Asian will be 3.5% of p (A) = 0.02x 0.035 = 0.0007
If a sample is chosen and the cause is diabetes then the probability will be
Probability of death caused by diabetes among white or Probability of death caused by diabetes among black or Probability of death caused by diabetes among Asian
0.02408 +0.00528 +0.0007 = 0.03006
To three decimal place = 0.030
