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3 years ago

Estimate the length of the radius if the area of the circle is 54 ft2.

Mathematics

1 answer:

jekas [21]3 years ago

4 0

Area = pi(r^2)
54 = pi(r^2)
54/pi= r^2
sqrt (54/pi) = r
4.15 is approximately the radius

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Professor Harris is teaching a continuing education class at the local community college. He created the following box plot from

inessss [21]

Answer:

Step-by-step explanation:

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3 years ago

A ship is carrying gold bars and silver bars in the ratio 13:17. The ship's load

andreyandreev [35.5K]

Using proportions, considering the weight of each bar and the ratio, it is found that the ship is carrying 52 gold bars.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Each bar weighs 5 kg, and the total weight is of 600 kg, hence the number of bars is given by:

n = 600/5 = 120.

The proportion of gold bars is given by:

p = 13/(13 + 17) = 13/30

Hence, out of 120 bars, the number of gold bars is given by:

nG = 120 x 13/30 = 4 x 13 = 52.

More can be learned about proportions at brainly.com/question/24372153

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2 years ago

Solve for x in the equation X2-8x+41 = 0 -

djverab [1.8K]

Answer:

The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )

I.e option D

Step-by-step explanation:

Given equation as :

x² - 8 x + 41 = 0

For quadratic equation ax² + b x + c = 0

The value of x = $\frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

∴ For equation x² - 8 x + 41 = 0

Or, x = $\frac{8\pm \sqrt{-8^{2}-4\times 1\times 41}}{2\times 1}$

Or, x = $\frac{8\pm \sqrt{-100}}{2}$

Or, x = $\frac{8\pm 10i}{2}$

∴ x = ( 4 + 2 i ) , ( 4 - 2 i )

Hence The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )

I.e option D Answer

7 0

3 years ago

Some values of the linear function 'f' are shown in the table what is the value of 3?

Monica [59]

6 | 16 is the correct answer I believe

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3 years ago

The weights of a certain brand of candies are normally distributed with a mean weight of 0.8544 g and a standard deviation of 0.

aleksandr82 [10.1K]

Answer:

The probability is 0.508 = 50.8%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean weight of 0.8544 g and a standard deviation of 0.0525 g.

This means that $\mu = 0.8544, \sigma = 0.0525$