Carson has 0.21 of a dollar. How many different combinations of coins could he have?

Nov 05,<br> What is an equation of the line that passes through the points (3,-6) and<br> (-7, - 6)?

anygoal [31]

Hmmmmm, are you sure you have no other information? does it tell you if it’s linear or quadratic or cubic or quartic? what math are you doing right now?

6 0

2 years ago

Read 2 more answers

What is the approximate circumference of the circle shown below

Anna [14]

Answer: 38.3

Step-by-step explanation:

c=2pir

r=6.1 (half of diameter)

c=38.3 cm

7 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

14) The ratio of green to red gummy bears in a package is 3:7. If there are a total of 80

yulyashka [42]

Answer:

There are 56 red gummy bears

Step-by-step explanation:

The ratio of green to red gummy bears is = 3 : 7

Total gummy bears = 80

We need to find how many gummy bears are red?

We can write it as:

3x : 7x

where x is the common ratio.

We can write:

Quantity of Green gummy bears = 3x

Quantity of Red gummy bears = 7x

Total Gummy bears = 80

So, 3x+7x = 80

10x = 80

x = 8

Now, finding quantity of Red gummy bears by putting x = 8

7x = 7(8) = 56

So, There are 56 red gummy bears

8 0

3 years ago

The local school sponsored a mini-marathon and supplied 84 gallons of water per hour for the runners. What is the amount of wate

Dmitrij [34]

All you need to do is multiply 84 by 4.

The number of gallons by the number of quarts <em>in a gallon. </em>

80*4= 320

4*4=16

320+16= 336

There are 336 quarts of water supplied an hour.

I hope this helps!
~kaikers

3 0

3 years ago

Read 2 more answers