Order the following from greatest to least

2.5(12.75x + 24.50) = 188.75

mrs_skeptik [129]

Answer:

Step-by-step explanation:

First, in order to get rid of the parenthesis, you need to multiply 2.5 with whatever is in the parenthesis.

Multiply 2.5 on each side of the equation like this:

(12.75 x 2.5) (24.50 x 2.5) =188.75

Once you're finished, you should get 61.25 and 31.875x =188.75

Now in order to find 'x' you will need to subtract 61.25 to each side of the equation like this:

61.25 - 61.25 = 0

188.75 - 61.25 = 127.5

So now your equation should look like this:

31.875x = 127.5

You have to divide 31.875 by each side now.

Once you divide them, your final answer should be 4.

so x = 4.

I really hope this helps! ^^

5 0

3 years ago

Read 2 more answers

Can anyone please please help me with this

svlad2 [7]

Answer:

it should be 14.25

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Please explain the problem to me step by step

JulijaS [17]

<h3>Solution:</h3>

$\frac{4y}{9} - \frac{2y}{3} = 10 \\ = > \frac{4y - 6y}{9} = 10 \\ = > \frac{ - 2y}{9} = 10 \\ = > y = 10 \times \frac{9}{ - 2} \\ = > y = - 5 \times 9 \\ = > y = - 45$

<h3>Answer:</h3>

-45

5 0

3 years ago

I need to find the area of the shaded region

spin [16.1K]

Well first find the area of the semi-circle.

If the area of a cricle is equal to pi*radius^2 , then you can just find that and divide by 2.

So, A = pi*2^2. = 4pi

We know that the radius is 2 because the length of the side of the rectangle is 4, meaning that the diameter of the semi-circle is 4, and so the radius is 2 as it is half of the diameter.

We can easily calculate the area of the rectangle, which is
Length * width = 6*4 = 24.

Next we divide 4pi by 2 in order to get the area of the semi-circle, giving us an area of 2pi

We can just subtract 2pi from 24 and get the area of the shaded region.

Area of the shaded region (answer): 17.7

4 0

3 years ago

A public health official is planning for the supplyof influenza vaccine needed for the upcoming flu season. She wants to estimat

Marizza181 [45]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

Step-by-step explanation:

We know that the sample proportion have the following distribution:

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

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

And on this case we have that $ME =\pm 0.04$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We assume that a prior estimation for p would be $\hat p =0.5$ since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

5 0

3 years ago