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2 years ago

Animals were trapped in a city and later released into the wild. A random sample of the data is provided in the table below.

Mathematics

1 answer:

Fynjy0 [20]2 years ago

6 0

Answer:

1,400

Step-by-step explanation:

We take the sample proportion of skunks and estimate for the entire population.

Sample:

140 skunks out of 230 + 140 + 120 = 490 animals.

140/490 = 0.28571428571

If a random sample of 5,000 animals are trapped in the city, how many skunks would be estimated to be included?

0.28571428571 out of 5000. So

0.28571428571*5000 = 1429

Close to 1400, which means that the answer is given by option C.

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Hi, I need help with this question.

elena-14-01-66 [18.8K]

Answer:

135 steps

Step-by-step explanation:

Each member marches:

50 + 40 = 90 yards

Convert this to feet:

1 yard = 3 feet
90 yards = 3*90 feet = 270 feet

Find the number of steps:

270/2 = 135 steps

7 0

2 years ago

Read 2 more answers

C = (F - 32) * 5/9, the letter "F" is known as which of the following?

Mice21 [21]

Answer:

F=Fahrenheit and C=Celsius

Step-by-step explanation:

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3 years ago

Consider the system of differential equations dxdt=−4ydydt=−4x. Convert this system to a second order differential equation in y

koban [17]

$\dfrac{\mathrm dy}{\mathrm dt}=-4x\implies x=-\dfrac14\dfrac{\mathrm dy}{\mathrm dt}\implies\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}$

Substituting this into the other ODE gives

$-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}=-4y\implies y''-16y=0$

Since $x(t)=-\dfrac14y'(t)$ , it follows that $x(0)=-\dfrac14y'(0)=4\implies y'(0)=-16$ . The ODE in $y$ has characteristic equation

$r^2-16=0$

with roots $r=\pm4$ , admitting the characteristic solution

$y_c=C_1e^{4t}+C_2e^{-4t}$

From the initial conditions we get

$y(0)=5\implies 5=C_1+C_2$

$y'(0)=16\implies-16=4C_1-4C_2$

$\implies C_1=\dfrac12,C_2=\dfrac92$

So we have

$\boxed{y(t)=\dfrac12e^{4t}+\dfrac92e^{-4t}}$

Take the derivative and multiply it by -1/4 to get the solution for $x(t)$ :

$-\dfrac14y'(t)=\boxed{x(t)=-\dfrac12e^{4t}+\dfrac92e^{-4t}}$

7 0

3 years ago

Company A offers a weekly salary of $360 plus a commission of 18% on thier dollar sales volume. Company B offers a weekly salary

Lera25 [3.4K]

Answer: The dollar sales volume will be $4000

Step-by-step explanation:

Let x represent the amount of sales volume for which the two offers result in the same pay.

Company A offers a weekly salary of $360 plus a commission of 18% on their dollar sales volume. This means that the total value offered by company A for x sales volume is

360 + 0.18x

Company B offers a weekly salary of $720 plus commission of 9% on their dollar sales volume. This means that the total value offered by company B for x sales volume is

720 + 0.09x

For the two offers to be the same, the sales volume would be

360 + 0.18x = 720 + 0.09x

0.18x - 0.09x = 720 - 360

0.09x = 360

x = 360/0.09

x = $4000

6 0

3 years ago

Find the value of x to the nearest tenth.

Lana71 [14]

Answer:

x = 14.7

Step-by-step explanation:

Use Law of Sines.

7/sin20=x/sin46

cross multiply

7sin46=xsin20

divide both sides by sin20 to isolate x

x = 7sin46/sin20

x = 14.72

3 0

3 years ago