The perimeter of a square is80-64y units. Which expression can be used to show the side length of one side of the square?

6f+f(f+2)+3 f*to the 2nd power-4f

EastWind [94]

Answer:

the answer is f^2+8f+3^-4f

8 0

3 years ago

Factor the polynomial by grouping. 12x^x+x−13

tekilochka [14]

Answer:

(x -1)(12x +13)

Step-by-step explanation:

You are looking to rewrite the middle term as the sum of terms that have factors of (12)(-13) that have a total of +1. Those factors are -12 and +13, so the expression you are factoring by grouping is ...

12x^2 +13x -12x -13

= x(12x +13) -1(12x +13)

= (x -1)(12x +13)

5 0

3 years ago

Several years ago, 38% of parents who had children in grades K-12 were satisfied with the quality of education the students r

Colt1911 [192]

Answer:

$0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995$

$0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564$

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

For this case we are interesting in the parameter of the true proportion of people satisfied with the quality of education the students receive

The confidence level is given 95%, the significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical values are:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The estimated proportion of people satisfied with the quality of education the students receive is given by:

$\hat p =\frac{499}{1165}= 0.428$

The confidence interval for the proportion if interest is given by the following formula:

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

And replacing the info given we got:

$0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995$

$0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564$

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

8 0

3 years ago

What's the ratio in simplest form 60 to 30

Nikitich [7]

Answer:

2:1

Step-by-step explanation:

because 60 split in half is 30

and 30 split in half is 15

then if you divide both numbers by 5 then you get 6:3

6:3 is equivalent to 2:1

sorry im a little late, hope this helped though.

4 0

3 years ago

The sum of three consecutive numbers is 267.what is the largest number

iris [78.8K]

Rather than trial and error, you can do this with an equation.

x + x+1 + x+2 = 267 =>
3x+3 = 267
x = 264/3 = 88

So the numbers are 88+89+90. 90 is the largest number.

3 0

3 years ago