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Hoochie [10]
4 years ago
13

18.2 is 14.5 of what number?

Mathematics
1 answer:
IgorLugansk [536]4 years ago
3 0
18.2 is 14.5% of what number....
" is " means equals " 
turn percent to a decimal = 0.145
" of " means multiply
x = what number

18.2 = 0.145x
18.2 / 0.145 = x
125.52 = x (that is a rounded answer) <===
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Suppose that we don't have a formula for g(x) but we know that g(3) = −1 and g'(x) = x2 + 7 for all x.
Sliva [168]

Answer:

  • g(2.95) ≈ -1.8; g(3.05) ≈ -0.2
  • A) tangents are increasing in slope, so the tangent is below the curve, and estimates are too small.

Step-by-step explanation:

(a) The linear approximation of g(x) at x=b will be ...

  g(x) ≈ g'(b)(x -b) +g(b)

Using the given relations, this is ...

  g'(3) = 3² +7 = 16

  g(x) ≈ 16(x -3) -1

Then the points of interest are ...

  g(2.95) ≈ 16(2.95 -3) -1 = -1.8

  g(3.05) ≈ 16(3.05 -3) -1 = -0.2

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(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)

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In a study of pain relievers, 50 people were given product A, and all but 11 experienced relief. In the same study, 100 people w
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Answer:

Product B performed worse in the study because 86% failed to get relief with this product, whereas only 78% failed to get relief with Product A

Step-by-step explanation:

We are given the following in the question:

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Number of people,

n_1 = 50

Number of people who received relief,

x_1 = 11

Proportion of people who received relief from product A =

p_A = \dfrac{x_1}{n_1} = \dfrac{11}{50} = 0.22 = 22\%

Proportion of people who did not received relief from product A =

1 = p_A = 1 - 0.22 = 0.78 =78\%

Product B:

Number of people,

n_2 = 100

Number of people who received relief,

x_2 = 14

Proportion of people who received relief from product B =

p_B = \dfrac{x_2}{n_2} = \dfrac{14}{100} = 0.14 =14\%

Proportion of people who did not received relief from product B =

1 = p_B = 1 - 0.14 = 0.86=86\%

Product B performed worse in the study because 86% failed to get relief with this product, whereas only 78% failed to get relief with Product A

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