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3 years ago

Describe the proportion method for solving a percentage problem:

Mathematics

1 answer:

kvasek [131]3 years ago

8 0

EXPLANATION 

First you will need TWO numbers. One being the percentage and the other being the number your trying to find the percent out of.

EXAMPLE

Imagine you have 130 crayons. Out of the 130 crayons you found that 15% of them were broken.

First you want too take the 15% and put it over 100, because a percentage always goes over 100. Now that you have the 15/100 you now wanna take the 130 crayons and put the variable X over it. Now that you have the fractions 15/100 and X/130 you want to cross multiply them to get 100x and 1950. For the final step your going to want to take 1950 and divide it by 100 to get your answer, 19.5.

I hope this helped you find out the method for solving a percentage problem while using proportions.

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Advanced conversions:

san4es73 [151]

Answer:

Step-by-step explanation:

1). ∵ 1 L = 1000 ml

∴ 4 L = 4000 ml

2). ∵ 1 cm = 10 mm

∴ 5 cm = 50 mm

3). ∵ 1 mg = 0.1 cg

∴ 5 mg = 0.5 cg

4). ∵ 1 ml = 0.001 L

∴ 25 ml = 0.025 L

5). ∵ 1 gm = 1000 mg

∴ 0.125 gm = 25 mg

6). ∵ 1 ml = 0.001 L

∴ 570 ml = 0.57 L

7). ∵ 1 mm = 0.1 cm

∴ 135 mm = 13.5 cm

8). ∵ 1 mg = 0.001 g

∴ 1820 mg = 1.82 g

9). ∵ 1 g = 100 cg

∴ 0.5 g = 50 cg

10). ∵ 1 ml = 0.001 L

∴ 0.2385 ml = 0.0002385 L

6 0

3 years ago

Delta makes 12-volt car batteries. These batteries are known to be normally

blondinia [14]

Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

Step(i):-

Given that the sample size n =12 -volt car batteries

Let 'X' be a Random variable in a normal distribution

Given that mean of the normal distribution = 45 months

Given that the Standard deviation of the normal distribution = 8months

Step(ii):-

Let X₁ = 3 years = 12 × 3 = 36 months

$Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125$

Let X₂ = 4 years = 12 × 4 = 48 months

$Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375$

Step(iii):-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

= P(Z≤0.375) - P(Z≤-1.125)

= 0.5 +A(0.375) - (0.5-A(1.125)

= 0.5 + 0.1480 - (0.5 -0.3708)

= 0.1480 + 0.3708

= 0.5188

Final answer:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

5 0

3 years ago

Find the range for the domain {-3, 1,4.5} f(x) = 2x

exis [7]

Answer:

Step-by-step explanation:

f(x) = 2x2

Range = {f(-3), f(1), f(4), f(5)} = {18, 2, 32, 50}

5 0

3 years ago

The diameter of a circular garden is 18 feet. What is the approximate area of the garden?

nlexa [21]

Area of a circle = πr²

Radius = 18/2 = 9

A = (3.14)(9)²
A = 254.34

Hope this helps :)

4 0

3 years ago

Read 2 more answers

Use the pythagorean theorem 1) a=7 b=12

steposvetlana [31]

Answer:

√193

Step-by-step explanation:

7^2 = 49

12^2 = 144

144 + 49= 193

√193 because you are trying to find c not c^2

5 0

3 years ago