Y=.25(x+8)^2+9 solve for x

SUPER URGENT ANSWER BOTHHHHH QUESTIONS<br> I WILL DEF MARK BRAINLYEST<br> READ CARFULLY!

GaryK [48]

Answer:

Step-by-step explanation:

563 people / 15 classes= 37 8/15. They should offer 38 classes.

2146 questions in 45 weeks.

2146/45= 47 31/45. round to 48 questions a week.

I would choose the first one. Even though the 2000 is an underestimate, the 50 weeks is overestimate , when divided it comes out to 50 questions a week which is closer to the 48 it actually is. I'd rather write too many questions then not enough.

4 0

3 years ago

A study was conducted to estimate the difference in the mean salaries of elementary school teachers from two neighboring states.

umka21 [38]

Answer:

$(28900-30300) -2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = -3301.70$

$(28900-30300) +2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = 501.698$

The confidence interval would be $-3301.70 \leq \mu \leq 501.698$ and since the confidence interval contains the value of 0 we don't have enough evidence to conclude that the difference between the two states for the salary of teachers are significantly different.

Step-by-step explanation:

We have the following info given by the problem

$\bar X_1 = 28900$ the sample mean for the salaries of teachers in Indiana

$s_1 = 2300$ the sample deviation for the salary of teachers in Indiana

$n_1 =10$ the sample size from Indiana

$\bar X_2 = 30300$ the sample mean for the salaries of teachers in Michigan

$s_2 = 2100$ the sample deviation for the salary of teachers in Michigan

$n_2 =14$ the sample size from Michigan

We want to find a confidence interval for the difference in the two means and the formula for this case is given by;

$(\bar X_1 -\bar X_2) \pm t_{\alpha/2}\sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}$

The degrees of freedom for this case are:

$df = n_1 +n_2 -2= 10+14-2 =22$

The confidence is 95%so then the significance is $\alpha=0.05$ and the $\alpha/2 =0.025$ , we need to find a critical value in the t distribution with 22 degrees of freedom who accumulates 0.025 of the area on each tail and we got:

$t_{\alpha/2}= 2.07$

And now replacing in the formula for the confidence interval we got:

$(28900-30300) -2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = -3301.70$

$(28900-30300) +2.07 \sqrt{\frac{2300^2}{10} +\frac{2100^2}{14}} = 501.698$

The confidence interval would be $-3301.70 \leq \mu \leq 501.698$ and since the confidence interval contains the value of 0 we don't have enough evidence to conclude that the difference between the two states for the salary of teachers are significantly different.

6 0

3 years ago

What is the value of g

kompoz [17]

Answer:

27 degrees

Step-by-step explanation:

So basically 52.1 and g is the same as 79.1 so your equation is 52.1+g=79.1

So first you would subtract 52.1 from both sides g=27

Then basically you have the answer

So therefore g=27

5 0

3 years ago

How to convert 45% into a fraction

JulsSmile [24]

Answer:

$\frac{9}{20}$

Step-by-step explanation:

Per cent means ' out of a hundred' , thus

45% = $\frac{45}{100}$ ← divide ( cancel) both 45 and 100 by 5

45% = $\frac{9}{20}$ ← in simplest form

8 0

4 years ago

What number is the opposite of -48? enter your answer in the box below?

BARSIC [14]

The opposite of -48 is positive 48, Written as just 48.

8 0

3 years ago