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lawyer [7]
4 years ago
12

The Commerce Department reported receiving the following applications for the Malcolm Baldrige National Quality Award: 23 from l

arge manufacturing firms, 18 from large service firms, and 30 from small businesses. What percentage of the applications came from small businesses (to 1 decimal)?
Mathematics
2 answers:
Mrac [35]4 years ago
7 0

Answer:

42.3%

Step-by-step explanation:

to calculate the percentage of the applications from small businesses, the first step is to find the total number of applications received from all the firms

total number of awards = 23 + 18 + 30

                                      =71 awards

percentage of applications from small businesses = \frac{30}{71} × 100

                                                                                  =42.2535

                                                                                ≈42.3% to 1 decimal place

42.3% of the applications came from small businesses

Rzqust [24]4 years ago
4 0

Answer:

42.2% of the applications came from small businesses

Step-by-step explanation:

the percentage of applications that came from small businesses can be calculated through:

percentage from small businesses = applications from small businesses / total number of applications = 30 / (23+18+30) = 0.422 (42.2%)

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3 years ago
Air is being pumped into a spherical balloon at a rate of 5 cm^3/min. Determine the rate at which the radius of the balloon is i
Romashka-Z-Leto [24]

0.08 cm/min

Step-by-step explanation:

Given:

\dfrac{dV}{dt}=5\:\text{cm}^3\text{/min}

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We know that the volume of a sphere is given by

V = \dfrac{4\pi}{3}r^3

Taking the time derivative of V, we get

\dfrac{dV}{dt} = 4\pi r^2\dfrac{dr}{dt} = 4\pi\left(\dfrac{D}{2}\right)^2\dfrac{dr}{dt} = \pi D^2\dfrac{dr}{dt}

Solving for \frac{dr}{dt}, we get

\dfrac{dr}{dt} = \left(\dfrac{1}{\pi D^2}\right)\dfrac{dV}{dt} = \dfrac{1}{\pi(20\:\text{cm}^2)}(5\:\text{cm}^3\text{/min})

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3 years ago
The lines a and b intersect at point C.<br><br> What is the value of y?
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Using the definition of vertical angles, the value of z is: 15.

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Thus:

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Learn more about vertical angles on:

brainly.com/question/1673457

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3 years ago
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