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alexandr402 [8]
3 years ago
9

The number of dolphins varied linearly with the number of fish. When 400 fish were present 250 dolphins appeared, and when 300 f

ish were present, 200 dolphins appeared. How many dolphins would appear if 250 fish were present?
Mathematics
1 answer:
melomori [17]3 years ago
7 0

Answer:

125 Dolphins

Step-by-step explanation:

The number of dolphins varied linearly with the number of fish.

The number of dolphins = D

The number of fish = F

Hence:

D ∝ F

D = kF

When 400 fish were present 250 dolphins appeared

Solving for k

250 = 400k...... Equation 1

Also

when 300 fish were present, 200 dolphins appeared.

200 = 300k...... Equation 2

So: we find k = Constant of Proportionality

250 = 400k...... Equation 1

200 = 300k...... Equation 2

We Subtract Equation 2 from Equation 1

50 = 100k

k = 50/100

k = 1/2

How many dolphins would appear if 250 fish were present?

D = kF

D = 1/2 × 250

D = 125 Dolphins

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Answer:

So the bigger array is 12 and 25

Step-by-step explanation:

Let's do a multiplication of this array first and Know it's result.

3 times five and 4 times 5. = (3*5) and (4*5)

= 15 and 20

Multiplying further gives us

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So to combine to get the bigger array.

We must get back 300 as the result of our product.

Let's multiply the row(x) with the row(x)

And the column (y) with column(y)

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So the bigger array is 12 and 25

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12*25 = 300

Proved.

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4 years ago
Given a possible triangle abc with a=16, b=25 a=22 find a possible value for b round to the nearest tenth.
Stells [14]
We can use the Sine Law:
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16 / 0.3746 = 25 / sin B
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Answer:

h = 21.5cm.

Step-by-step explanation:

<em>Step one:</em> Simplify the volume.

220.16 x (pi) = 691.65cm^3.

<em>Step two:</em> Isolate h.

Cylinder volume equation: V = (pi)(r^2)(h), where r is the radius and h is the height.

Divide out the pi and r^2 on both sides to isolate h and move the equation to V/(pi)(r^2) = h.

<em>Step three:</em> Solve for h.

691.65/(pi)(3.2^2) = 21.5cm rounded to the nearest tenths place.

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3 years ago
Suppose a sample of 1537 Americans over 46 is drawn. Of these people, 1245 don't smoke. Using the data, estimate the proportion
Dmitry_Shevchenko [17]

Answer:

n = 1537 represent the sample size of American over 46

X = 1537-1245=292 represent the number of Americans over 46 who smoke

And for this case in order to estimate the population proportion we can use this formula:

\hat p = \frac{X}{n}

Where:

X represent the number of people with the characteristic desired and n the sample size. If we replace we got:

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Step-by-step explanation:

For this case we deine the parameter of interest p as the proportion of Americans over 46 who smoke.

We know the following info provided:

1245 people don't smoke

n = 1537 represent the sample size of American over 46

X = 1537-1245=292 represent the number of Americans over 46 who smoke

And for this case in order to estimate the population proportion we can use this formula:

\hat p = \frac{X}{n}

Where:

X represent the number of people with the characteristic desired and n the sample size. If we replace we got:

\hat p = \frac{292}{1537}= 0.190

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3 years ago
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