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suter [353]
3 years ago
5

Find the 2 digit number less than 50 using these clues. it can be divided exactly by 4. when 4 is added to it, it can be a divid

ed exactly by 5.

Mathematics
1 answer:
densk [106]3 years ago
8 0

Answer:

16

Step-by-step explanation:

16 divided by 4=4

16+4=20

20 divided by 5=4

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The probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328

<h3>How to determine the probability?</h3>

The given parameters are:

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  • Population proportion, p = 82%

Start by calculating the mean:

\mu = np

\mu = 100 * 82\%

\mu = 82

Calculate the standard deviation:

\sigma = \sqrt{\mu(1 - p)

\sigma = \sqrt{82 * (1 - 82\%)

\sigma = 3.84

Within ± 0.02 of the population proportion are:

x_{min} = 82 * (1 - 0.02) = 80.38

x_{max} = 82 * (1 + 0.02) = 83.64

Calculate the z-scores at these points using:

z = \frac{x - \mu}{\sigma}

So, we have:

z_1 = \frac{80.36 - 82}{3.84} = -0.43

z_2 = \frac{83.64 - 82}{3.84} = 0.43

The probability is then represented as:

P(x ± 0.02) = P(-0.43 < z < 0.43)

Using the z table of probabilities, we have:

P(x ± 0.02) = 0.3328

Hence, the probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328

Read more about probability at:

brainly.com/question/25870256

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4 0
2 years ago
Simplify each expression numbers 2-5
svetoff [14.1K]

Answer:

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Step-by-step explanation:

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2.085 x 10^6 =

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Step-by-step explanation:

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  5x +6y = 5(6) +6(10) = 90

The equation of the perpendicular line in general form is ...

  5x +6y -90 = 0

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Well Bree if Camille had 30 dollars to spend on 3 gifts you will have to figure out how much each gift was and then you will subtract the rest off that.

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