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BaLLatris [955]
4 years ago
6

In a factory, a manager tests 250 products and finds defects in 7 of them. How many defects are likely going to be in a 10,000 u

nit order.
(7th grade)
Mathematics
1 answer:
Natalka [10]4 years ago
7 0

Answer:

280

Step-by-step explanation:

first make a proportion. 7 over 250= x over 10,000. cross multiply to get 250x=70,000. 70,000 divided by 250 which gets you 280.

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After being treated with chemotherapy, the radius of the tumor decreased by 23%. What is the corresponding percentage decrease i
Crazy boy [7]

Answer:

The volume of the tumor experimented a decrease of 54.34 percent.

Step-by-step explanation:

Let suppose that tumor has an spherical geometry, whose volume (V) is calculated by:

V = \frac{4\pi}{3}\cdot R^{3}

Where R is the radius of the tumor.

The percentage decrease in the volume of the tumor (\%V) is expressed by:

\%V = \frac{\Delta V}{V_{o}} \times 100\,\%

Where:

\Delta V - Absolute decrease in the volume of the tumor.

V_{o} - Initial volume of the tumor.

The absolute decrease in the volume of the tumor is:

\Delta V = V_{o}-V_{f}

\Delta V = \frac{4\pi}{3}\cdot (R_{f}^{3}-R_{o}^{3})

The percentage decrease is finally simplified:

\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%

Given that R_{o} = R and R_{f} = 0.77\cdot R, the percentage decrease in the volume of tumor is:

\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%

\%V = 54.34\,\%

The volume of the tumor experimented a decrease of 54.34 percent.

5 0
3 years ago
BAKING A recipe for 1 apple pie calls for 6 cups of sliced apples. How
Alex787 [66]

Answer:

24 cups of sliced apples

Step-by-step explanation:

6 multiplied by 4=24

hope this helps

4 0
3 years ago
Read 2 more answers
Is -5 a solution to the equation 6x+5=5x+8+2x? explain
boyakko [2]

Answer:

no

Step-by-step explanation:

6x-5x-2x=8-5

-1x=3

-1x/-1=3/-1

x=-3

3 0
3 years ago
Since y generally<br> as x increases,<br> x and y have a
jeka94

Answer: decreases; negative correlation; not

Step-by-step explanation:

Just got it right in the assignment

5 0
3 years ago
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Which equation describes the function shown?
murzikaleks [220]
Answer choice a :
y = x + 4
8 0
3 years ago
Read 2 more answers
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