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Hoochie [10]
3 years ago
14

How can you find the whole when you know part and the percent.

Mathematics
1 answer:
Usimov [2.4K]3 years ago
4 0

An example should make this clear.

If  $50  is 40%   what is the value of the whole amount?

Answer:-  Whole amount = 100^%

By proportion this =  (100/ 40) * 50

= 2.5 * 50

= $125    (answer)


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A bank loaned out 12,000 part of it at a rate of 8% per year and the rest at 18% per year. If the interest recurved in one year
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Answer:

$11,600

Step-by-step explanation:

amount loaned at 8% and ($12,000 - x) = amount loaned at 18%

Write the equation: (change the percents to decimals: 8% = 0.08 and 18% = 0.18)

(0.08)x + (0.18)($12,000 - x) = $1,000

This expresses the total amount of earned interest in terms of the amounts of the loan, x and ($12,000 - x}.

0.08x + $2,160 - 0.18x = $1,000 Simplify and solve for x.

-0.1x = -$1,160 Divide both sides by -0.1

x = $11.600 The amount loaned at 8% interest.

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3 years ago
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3 years ago
The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to d
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Part A:

From the central limit theorem, since the number of samples is large enough (up to 30), the mean of the the mean of the average number of moths in 30 traps is 0.6.



Part B:

The standard deviation is given by the population deviation divided by the square root of the sample size.

standard \ deviation= \frac{\sigma}{\sqrt{n}} = \frac{0.4}{\sqrt{30}} = \frac{0.4}{5.477} =0.073



Part C:

The probability that an approximately normally distributed data with a mean, μ, and the standard deviation, σ, with a sample size of n is greater than a number, x, given by

P(X\ \textgreater \ x)=1-P(X\ \textless \ x) \\  \\ =1-P\left(z\ \textless \  \frac{x-\mu}{\sigma/\sqrt{n}} \right)

Thus, given that the mean is 0.6 and the standard deviation is 0.4, the probability that <span>the average number of moths in 30 traps is greater than 0.7</span> given by:

P(X\ \textgreater \ 0.7)=1-P(X\ \textless \ 0.7) \\ \\ =1-P\left(z\ \textless \ \frac{0.7-0.6}{0.073} \right)=1-P(z\ \textless \ 1.369) \\  \\ =1-0.91455=\bold{0.0855}
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3 years ago
2x+1&lt;7 and -2x + 1&lt;9
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Answer:

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Step-by-step explanation:

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