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Vikki [24]
3 years ago
15

Kyle's height increased 17 % last year and 12% this year. What is the total percent increase ?

Mathematics
1 answer:
Advocard [28]3 years ago
6 0

Answer:

31.04%

Step-by-step explanation:

So he increased 17%, then increased 12%.

When he increased by 17%, his height was 117%, relative to his former height.  12% of 117% is 14.04%

So he increase 17%, then increased 14.04% ( of his original height) so his total growth was 31.04%

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explanation:

they all mean the same thing

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What do the solutions of a quadratic equation represent graphically? What is the maximum number of solutions given by solving a
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Parabola

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If you are conducting a survey to determine which American cities are the most exciting in which to live,
nadezda [96]

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B

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A researcher wishes to estimate the proportion of X-ray machines that malfunction. A random 275 sample of machines is taken, and
Dominik [7]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

95\% Confidence Interval for both the percentage of all x-ray machines

p = the machinery's share is not working:

= \frac{228}{275}\\\\ = 0.829

\text{Margin of Error} = Z_{(\frac{\alpha}{2})} \times \sqrt{( p \times (1-p)}{n})

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Lower 95\% Confidence interval = p - error margin = 0.829 - 0.045 = 0.784

Upper 95\% Confidence Interval = p + error margin= 0.829 + 0.045 = 0.874

So, 95\% Confidence Interval = ( 0.78 , 0.87 )

4 0
3 years ago
Factor of x^3-x^2-24x-36
Basile [38]
The trial and error method is used to find an initial factor:
If we let f(x) = x³ - x² - 24x - 36 and all we have to do is sub' in values of x until
f(x) = 0, we can use this to find an initial factor by the factor theorem:
f(1) = (1)³ - (1)² - 24(1) - 36 = -60
f(2) = (2)³ - (2)² - 24(2) - 36 = -80
f(5) = (5)³ - (5)² - 24(5) - 36 = -56
*** f(6) = (6)³ - (6)² - 24(6) - 36 = 0 ***

f(6) = 0 so (x - 6) is a factor of f(x).
This means that: f(x) = x³ - x² - 24x - 36 = (x - 6)(ax² + bx + c).
To find a,b and c, use long division (or inspection) to divide x³ - x² - 24x - 36 by x - 6.
The other 2 factors of f(x) can then be found by factorizing the
ax² + bx + c quadratic the way you would with any other quadratic (i.e. by quadratic formula, CTS or inspection).
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3 years ago
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