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1 year ago

Suppose a is jointly proportional to b and c. if a=4 when b=8 and c = 9, then what is a when b=2 and c=18

Mathematics

1 answer:

asambeis [7]1 year ago

6 0

From the given information, a exists jointly proportional to b and c.

then $$a \propto b c$

Therefore, the value of a exists 2.

<h3>What is the value of a?</h3>

Given, a exists jointly proportional to b and c.

$$a \propto b c$

Taking K as the constant of proportionality.

a = K b c

For b = 8 and c = 9, the value of a = 4

4 = K(8)(9)

4 = 72 K

Dividing the equation by 72, we get

$$K=\frac{1}{18}$

Using the value of K in the equation:

$$a=\frac{b c}{18}$

Substitute the values of b = 2 and c = 18, in the above equation

$$a=\frac{2 \times 18}{18} \\$

a = 2

Therefore, the value of a exists 2.

To learn more the value of x refers to:

brainly.com/question/11874663

#SPJ4

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Answer:

His average speed for the rest of the journey was of 48mph.

Step-by-step explanation:

We use the following relation to solve this question:

$v = \frac{d}{t}$

In which v is the velocity, d is the distance and t is the time.

First 32 miles at an average speed of 64mph.

So the time for these 32 miles is:

$64 = \frac{32}{t}$

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$t = \frac{32}{64}$

$t = 0.5$

Rest of the trip:

200 - 32 = 168 miles in 4 - 0.5 = 3.5 hours. So the average speed is of:

$v = \frac{d}{t} = \frac{168}{3.5} = 48$

His average speed for the rest of the journey was of 48mph.

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3 years ago

Find the missing value (x)

Semenov [28]

Answer:

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Step-by-step explanation:

y=(21×2)/3; x=(48×21)/14

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2 years ago

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3 years ago

Suppose a company produces report indicates that the surveyed distance between two points is 1200 feet with a margin of error of

Otrada [13]

<h2>Hello!</h2>

The answers are:

$MaximumDistance=1200.1ft\\MinimumDistance=1199.9ft$

Since we are given the margin of error and it's equal to ±0.1 feet, and we know the surveyed distance, we can calculate the maximum and minimum distance. We must remember that margin of errors usually involves and maximum and minimum margin of a measure, and it means that the real measure will not be greater or less than the values located at the margins.

We know that the surveyed distance is 1200 feet with a margin of error of ±0.1 feet, so, we can calculate the maximum and minimum distances that the reader could assume in the following way:

$MaximumDistance=ActualDistance+0.1feet\\\\MaximumDistance=1200feet+0.1feet=1200.1feet$

$MinimumDistance=ActualDistance-0.1feet\\\\MaximumDistance=1200feet-0.1feet=1199.9feet$

Have a nice day!

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3 years ago

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Answer:

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Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.