All categories

2 years ago

Given the quadratic equation below, determine which situation it could represent. x^2-4x=60

Mathematics

1 answer:

Natasha_Volkova [10]2 years ago

5 0

Answer:

C. In a meeting room for a business event, there are 4 fewer chairs laid out in each row than the number of rows. The total number of chairs in the room is 60.

Step-by-step explanation:

To find the total number of chars, we multiply the number of rows by the number of chairs in each row.

Let the number of rows be x. There are 4 fewer chairs in each row than the number of rows; this gives us (x-4). Together, this gives us

x(x-4).

We know there are 60 chairs; this gives us

x(x-4) = 60

Using the distributive property,

x(x)-4(x) = 60

x²-4x = 60

You might be interested in

A bicycle computer or cyclometer uses a magnet counter that records each wheel rotation to calculate the bike’s total distance t

CaHeK987 [17]

The simplest and probably the best way to understand this problem is to make up a problem that obeys what you have been given. It doesn't have to be realistic. It just has to obey the conditions. Let us suppose that you thought the diameter of the tire is 1 yard. That would mean the circumfrence is pi * d

C = 3.14 * 1

That would mean that the circumference is 3.14 yards. It would also mean that you would have to have the wheel turn 1760 yards / /3.14 yards / revolution which is about 561 revolutions / mile. So the way I have set up the problem, my equation is d = 561 * R where R is the number of revolutions.

Now let's see what happens when you say "O my Goodness, the wheel diameter is really 32 inches" which 0.8888888 yards what happens now?

Now you still have to go 1760 yards How many revolutions is that?

C = pi * d

C = 3.14 * 0.88888888

C = 2.79111 yards

How many revolutions does it take to 1760 yards.

R = 1760 // 2.78111 yards / revolution

R = 631 revolutions / mile. What happened?

Your constant goes up if the wheel diameter goes down. Think about this. Do you ride a bicycle? I do. It makes perfect sense to me that if the wheel is small, it will have to turn more often to go a mile. No matter where that 0.00125 comes from or how it was derived, the constant will have to go up if the wheel gets smaller.

6 0

2 years ago

For many years businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to les

kaheart [24]

Answer:

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

The margin of error for this case is given by:

$ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

And replacing we got:

$ME = 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.0259$

And replacing into the confidence interval formula we got:

$0.52 - 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.4941$

$0.52 + 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.5459$

And the 95% confidence interval would be given (0.4941;0.5459).

Step-by-step explanation:

Data given and notation

n=1000 represent the random sample taken

$\hat p=0.52$ estimated proportion of of U.S. employers were likely to require higher employee contributions for health care coverage

$\alpha=0.05$ represent the significance level (no given, but is assumed)

Solution to the problem

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

The margin of error for this case is given by:

$ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

And replacing we got:

$ME = 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.0259$

And replacing into the confidence interval formula we got:

$0.52 - 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.4941$

$0.52 + 1.64*\sqrt{\frac{0.52(1-0.52)}{1000}}=0.5459$

And the 95% confidence interval would be given (0.4941;0.5459).

5 0

2 years ago

PLEASE HELP THIS IS DUE BY TOMORROW

Bezzdna [24]

Answer:b

Step-by-step explanation:

4 0

2 years ago

I need help with it

Angelina_Jolie [31]

I think it’s a carrot

8 0

2 years ago

Explain an example of how taking an amount (for example, $20), decreasing it by 40% and then increasing that amount by 40% does

Likurg_2 [28]

Answer:

See below

Step-by-step explanation:

What we can do is try it out.

20*0.6=12

since 0.6 is left

now we increase 12 by 40, or multiply it by 1.4

12*1.4= 16.8

See what is happening here is that at first when we are decreasing it by 40 percent, we are taking 40 percent of 20. However, when we increase that amount by 40 percent, we are now increasing 40 percent of 20 by 40 percent, or increasing 16 by 40 percent. Therefore, we will not get the original amount.

4 0

3 years ago