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irina1246 [14]
3 years ago
11

uppose that 61% of all adults in a certain community are obese and that 31% suffer from diabetes. If 23% of the adults in this c

ommunity are both obese and suffering from diabetes, what is the probability that a randomly chosen adult in this community is obese or suffers from diabetes (or both)? Write your answer as a decimal (not as a percentage).
Mathematics
1 answer:
vovangra [49]3 years ago
6 0

Answer:

0.69

Step-by-step explanation:

A: obese

B: diabetes

P(A) = 61

P(B) = 31

P(A and B) = 23

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 61 + 31 - 23 = 69%=0.69

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a cylinder has a base diameter of 16 inches and a height of 7 inches. What is its volume in cubic inches
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Step-by-step explanation:

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2 years ago
At what point on the graph of y=1/4x^4 is the tangent line parallel to the line 24x -3y=8
Rama09 [41]

Answer:

a) dy/dx = 4/(2y+1)^2.

(b) y = 4/9 x - 14/9

(c) d2y/dx2 = -64/243

Step-by-step explanation:

You have the following equation

  (1)

(a) You first derivative implicitly the equation (1) respect to x:

next, you solve the last result for dy/dx:

(2)

(b) The equation for the tangent line is given by:

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with yo = -2 and xo = -1

To find the slope m you use the result of the equation (2), because dy/dx evaluated in (-1,-2) is the slope at such point:

m =

Hence, by replacing in the equation (3) you obtain:

hence, the equation for the tangent line is y = 4/9 x - 14/9

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the second derivative for the point (-1,-2) is obtained by replacing y=-2 and dy/dx=m=4/9 in the equation (4):

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Step-by-step explanation:

3 0
3 years ago
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Answer:

f(x) = x

Step-by-step explanation:

note : slope is positive 1, so the x term must be positive

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3 years ago
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