All categories

4 years ago

In a direct variation equation, f(x)=6 when x = 4. What is the direct variation equation?

Mathematics

1 answer:

jeyben [28]4 years ago

7 0

Answer:

$f(x) = \dfrac{3}{2}x$

Step-by-step explanation:

The general direct variation equation is

y = kx

Plug in x = 4 and y = 6 and solve for k.

6 = k * 4

4k = 6

k = 6/4 = 3/2

$f(x) = \dfrac{3}{2}x$

You might be interested in

The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident th

Aleks04 [339]

Answer:

The minimum sample size that can be taken is of 14 dogs.

Step-by-step explanation:

The formula for calculating the minimum sample size to estimate a population mean is given by:

$n=\frac{z^{2}\sigma^{2}}{e^{2}}$

The first step is obtaining the values we're going to use to replace in the formula.

Since we want to be 95% confident, $1-\alpha=0.95 \Rightarrow \alpha=0.05$ .

Therefore we look for the critical value $z_{\alpha/2}=1.96$ .

Then we calculate the variance:

$\sigma = 3.7 \Rightarrow \sigma^{2}=13.69$

And we have that:

$e=2 \Rightarrow e^{2}=4$

Now we replace in the formula with the values we've just obtained:

$n=\frac{1.96^{2}*13.69}{4}=13.1479\approx 14$

Therefore the minimum sample size that can be taken to guarantee that the sample mean is within 2 inches of the population mean is of 14 dogs.

6 0

3 years ago

"Five less than three times a number is greater than two-thirds of that number."

barxatty [35]

Answer:

Step-by-step explanation:

4 0

3 years ago

a store selling a couch for $623 on a 24 month payment plan if your down payment of 152 is given and no interest is charged how

sveticcg [70]

First start with $623 and subtract the $152 deposit. Then divide that answer by 24, which equals 19.625. The monthly payment would be 19.63 monthly for 24 months.

3 0

3 years ago

Read 2 more answers

What is group A called? What is group B called ?

Gre4nikov [31]

Answer:

A would be the line of best fit and B would be the oulier

7 0

4 years ago

The area of a triangle is 30 square centimeters and its base is 10 cm. What is the height in cm of the triangle

Vesnalui [34]

Answer:

The height of the triangle is $6$ cm.

Step-by-step explanation:

----------------------------------------

The formula for solving the area of a triangle is $A=\frac{1}{2}bh$ where $b$ stands for base and $h$ stands for height.

Let's substitute 30 $cm^2$ for the area and 10 for the base.

$30=\frac{1}{2} (10)h$

-------------------->>>>

Now, let's solve to find the height.

$30=\frac{1}{2}(10)h$

Multiply $\frac{1}{2}$ times $10$

$30=5h$

Divide both sides by 5.

$6=h$

-----------------------------------------

Hope this is helpful.

4 0

3 years ago