A rectangular farm has an area of 5/8 square miles. If its length is 1/9 miles, what is its width?

Mila [183]

Answer: An elephant’s trunk is usually around 6 feet in length, but can be up to 7 feet long. The trunk alone can weigh as much as 140 kg and can hold 12 litres of water. How fast do elephants run? Elephants can run faster than you would expect, easily reaching speeds of 40 mph - a lot faster than us humans can run!

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

If a manufacturer conducted a survey among randomly selected target market households and wanted to be 95% confident that the d

katen-ka-za [31]

Answer:

We need a sample size of least 119

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.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Sample size needed

At least n, in which n is found when $M = 0.09$

We don't know the proportion, so we use $\pi = 0.5$ , which is when we would need the largest sample size.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.09 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.09\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.09}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.09})^{2}$

$n = 118.6$

Rounding up

We need a sample size of least 119

6 0

4 years ago

The British was able to conquer India because India were not able to?

Marysya12 [62]

Hey there!
India was, and still is now, a third world country.
They <em>could not defend themselves or create a stable government like the one we have today</em>.
They were prone to attack, and the British took the opportunity.
Hope this helps!

6 0

3 years ago

The points (2,-2) and (-4,13) line on the graph of a linear function of x. Which point also lies on the graph of this function?

Tcecarenko [31]

Answer:

(0, 3) lies on the line joining (2, -2) and (-4, 13).

Step-by-step explanation:

The equation of the line joining the points (2, -2) and (-4, 13) is:

$\frac{y+2}{13+2} =\frac{x-2}{-4-2}$

$\frac{y+2}{15} =\frac{x-2}{-6}$

$\frac{y+2}{5} =\frac{x-2}{-2}$

-2(y + 2) = 5(x - 2)

-2y - 4 = 5x - 10

5x + 2y - 6 = 0

When we substitute x = 0 and y = 3,

5(0) + 2(3) = 0 + 6 = 6

So, (0, 3) lies on the line joining (2, -2) and (-4, 13).

3 0

3 years ago

(0,1),(2,5),(3,7) in an equation

12345 [234]

The equation that gives the coordinates (0,1), (2,5), (3,7) is y =2x + 1.

Step-by-step explanation:

Step 1; We need to determine the equation relating the x to the f(x) values from the given coordinates. y is the dependent value whereas x is the independent value i.e. y's value depends on x's value.

Step 2; If we multiply the x value with 2 and add the resulting answer with 1 we get the y value.

y = 2x + 1 is the equation that relates the values in the table.

Step 3; Now we substitute the values in the equation to see if it's correct.

For x = 0, y = 2(0) + 1 = 0 + 1 = 1,

For x = 2, y = 2(2) + 1 = 4 + 1 = 5,

For x = 3, y = 2(3) + 1 = 6 + 1 = 7.

So the equation that gives the coordinates (0,1), (2,5), (3,7) is y =2x + 1.

7 0

3 years ago