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3 years ago

Y is inversely proportionsl to x. when y = 7, x = 9. work out aan equation connecting x and y.

Mathematics

1 answer:

Mama L [17]3 years ago

6 0

Answer:

y = $\frac{63}{x}$

Step-by-step explanation:

Since y is inversely proportional to x the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of proportionality

To find k use the condition when y = 7, x = 9

k = yx = 7 × 9 = 63

y = $\frac{63}{x}$ ← equation connecting x and y

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A Park ranger tags 100 animals. Use a proportion to estimate the total population for each sample.

7nadin3 [17]

Answer:

It is given that A Park ranger tags 100 animals.

This means the proportion of animals tagged= $\dfrac{100}{x}$

where 'x' represents the total population of animals.

We have to find total number of animals in each parts.

23 out of 100 animals are tagged.

That means the proportion of animals tagged= $\dfrac{23}{100}$

Now we know that the proportion must be equal.

$\dfrac{23}{100}=\dfrac{100}{x}$

⇒ $x=\dfrac{100\times 100}{23}=434.783$

which is approximately equal to 435.

Hence, the total population =435.

8 out of 116 animals are tagged

That means the proportion of animals tagged= $\dfrac{8}{116}$

Now we know that the proportion must be equal.

$\dfrac{8}{116}=\dfrac{100}{x}$

$x=\dfrac{100\times 116}{8}\\\\x=\dfrac{11600}{8}=1450$

which is approximately equal to 1450

Hence, the total population =1450.

5 out of 63 animals are tagged

That means the proportion of animals tagged= $\dfrac{5}{63}$

Now we know that the proportion must be equal.

$\dfrac{5}{63}=\dfrac{100}{x}$

$x=1260$

Hence, the total population =1260.

4 out of 83 animals are tagged

That means the proportion of animals tagged= $\dfrac{4}{83}$

Now we know that the proportion must be equal.

$\dfrac{4}{83}=\dfrac{100}{x}$

$x=\dfrac{100\times 83}{4}\\\\x=2075$

Hence, the total population =2075.

3 out 121 animals are tagged

That means the proportion of animals tagged= $\dfrac{3}{121}$

Now we know that the proportion must be equal.

$\dfrac{3}{121}=\dfrac{100}{x}$

$x=\dfrac{100\times 121}{3}\\\\x=4033.33$

Hence, the total population =4033.

83 out of 125 animals are tagged

That means the proportion of animals tagged= $\dfrac{83}{125}$

Now we know that the proportion must be equal.

$\dfrac{83}{125}=\dfrac{100}{x}$

$x=\dfrac{100\times 125}{83}\\\\x=150.6024$

Hence, the total population =151.

7 out 165 animals are tagged

That means the proportion of animals tagged= $\dfrac{7}{165}$

Now we know that the proportion must be equal.

$\dfrac{7}{165}=\dfrac{100}{x}$

$x=\dfrac{100\times 165}{7}\\\\x=2357.143$

Hence, the total population =2357.

7 0

3 years ago

Need help on test <br> Angles and triangles 2

erma4kov [3.2K]

Alternate interior: <2 and <7
(They are on opposite sides of the transversal line, but inside the parallel lines.)

Corresponding: <1 and <3
(They have the same measure because they are in the same spot above the parallel line.)

Alt exterior: <1 and <8
(They are on opposite sides of the transversal, but on the outside of the parallel lines.)

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3 years ago

The waiting time, in minutes, to see a teller at a large bank follows an exponential distribution. If the proportion of all cust

Arada [10]

Answer: 0.00067 minutes

Step-by-step explanation: if the proportion of customers who wait more than 15 minutes is 0.01, then the time interval between each waiting customer 15/0.01 = 1500 minutes.

The distribution that defines this question is that of an exponential.

An exponential distribution is dependent on the fixed time rate at which the event is occurring (λ)

For this question of ours, λ = 1500 minutes.

The mean of an exponential distribution is given as

u = 1/ λ = 1/1500 = 0.00067 minutes.

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3 years ago

Noah's town voted on a new speed limit. 50% of the 58 votes were in favor of the new speed limit. How many votes were in favor?

True [87]

This problem is asking us to find 50% of 58.

Answer is provided in the image attached.

29 Votes