√111 lie between 10 and 11

Step-by-step explanation:

In order to calculate betwwen which values does √111 lie we would have to make the following calculation:

If we calculate 10∧2, the result is=100

If we calculate 11∧2 the result is=121

Therefore, according to that calculations we can be secure that the most certain options of would be that the √111 would be 10<√111<11

Therefore, √111 lie between 10 and 11

## Related Questions

Which of the following statements best describes adjacent angles

The statement that best describes adjacent angles is that adjacent angles share a side.

### What is a vertex ?

A vertex is where two non parallel lines meet.For example a triangle has 3 vertex.We can also say that vertex is a point where two non parallel lines meet to form an angle.

According to the given question the best description of adjacent angle is that they share a side.

We can say that adjacent angles are those angles which are placed next to each other.

Adjacent angle also share a common vertex but they do not overlap each other.

brainly.com/question/12563262

#SPJ2

The correct answer to this would be D, adjacent angles share a side.

Step-by-step explanation:

Adjacent angles share a common side as well as a common vertex.

I hope this helps :)

Find the domain and range of f(x)= (x-11)/(-7x+9)

x<9/7 or x>9/7

Step-by-step explanation:

Sorry no step by step

A quadrilateral has angles that measure 44°, 89°, and 127°. What is the measure of the fourth angle?

The sum of angles in a quadrilateral = 360 degrees.

Let the fourth angle be x:

Therefore:  44 + 89 + 127 + x = 360

260 + x = 360

x = 360 - 260

x = 100

x = 100°

I hope this helps.

Jades braces cost her parents $2848 her parents will pay$89 each month how many months would take them to pay for her braces

2848/89=32 months

It will take Jade's parents roughly 2.5 years
If Jade owes $2848 and will be paying her parents back$89 a month it will take a total of 32 months to pay them back.

For this problem you would take the amount owed and divide it by monthly payments:

= 32 Months
If you want to back track your work to ensure it is the right answers just multiply 89*32
=2848

I hope this helped!

It is important that face masks used by firefighters be able to withstand high temperatures because firefighters commonly work in temperatures of 200-500 degrees. In a test of one type of mask, 24 of 55 were found to have their lenses pop out at 325 degrees. Construct and interpret a 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees.

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the zscore that has a pvalue of .

For this problem, we have that:

93% confidence level

So , z is the value of Z that has a pvalue of , so .

The lower limit of this interval is:

The upper limit of this interval is:

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).

In a city known for many tech start-ups, 311 of 800 randomly selected college graduates with outstanding student loans currently owe more than $50,000. In another city known for biotech firms, 334 of 800 randomly selected college graduates with outstanding student loans currently owe more than$50,000. Perform a two-proportion hypothesis test to determine whether there is a difference in the proportions of college graduates with outstanding student loans who currently owe more than $50,000 in these two cities. Use α=0.05. Assume that the samples are random and independent. Let the first city correspond to sample 1 and the second city correspond to sample 2. For this test: H0:p1=p2; Ha:p1≠p2, which is a two-tailed test. The test results are: z≈−1.17 , p-value is approximately 0.242 ### Answers Answer: Null hypothesis: Alternative hypothesis: Comparing the p value with the significance level given we see that so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that we don't have significant difference between the two proportions. Step-by-step explanation: 1) Data given and notation represent the number college graduates with outstanding student loans currently owe more than$50,000 (tech start-ups)

represent the number college graduates with outstanding student loans currently owe more than $50,000 ( biotech firms) sample 1 sample 2 represent the proportion of college graduates with outstanding student loans currently owe more than$50,000 (tech start-ups)

represent the proportion of college graduates with outstanding student loans currently owe more than \$50,000 ( biotech firms)

z would represent the statistic (variable of interest)

represent the value for the test (variable of interest)

significance level given

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference in the two proportions, the system of hypothesis would be:

Null hypothesis:

Alternative hypothesis:

We need to apply a z test to compare proportions, and the statistic is given by:

(1)

Where

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:

4) Statistical decision

Since is a two sided test the p value would be:

Comparing the p value with the significance level given we see that so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that we don't have significant difference between the two proportions.