Angle ABC is congruent to which angle?

vladimir1956 [14]

Really none of the above.

A principal square root of a real number is a positive real number (or a positive real number times i, if you're up to complex numbers, but let's assume not.) It's not necessarily a positive integer, √2 being the obvious example.

Is √2 a positive fraction? We can write it as √2 / 1 so I suppose it is. It's certainly not a rational number. Even if we grant irrationals as fractions surely √0=0 isn't a positive fraction. So "always" isn't correct.

I'd go with none of the above, but if I had to choose I'd choose D.

3 0

3 years ago

Given the data shown below, which of the following is the best prediction for the number of years it will take for the populatio

aleksley [76]

We will have the following:

Using exponential regression we will have that the line of best fit will be:

$f\mleft(x\mright)=8585.658603*1.399211892^x$

Now, we will have that:

$\begin{gathered} 300000=8585.658603*1.399211892^x\Rightarrow34.94199034=1.399211892^x \\ \\ \Rightarrow x=\frac{ln(34.94199034)}{1.399211892}\Rightarrow x= \end{gathered}$

So, the approximation using linear regression gives us as solution approximately 29.7 years; thus the closest one to match is then

3 0

11 months ago

The box and whisker plots below show two classes' semester grades. Write a paragraph comparing the two sets of

oksano4ka [1.4K]

The paragraph to show the comparision between two classes semester grades on the basis of the terms

extremes
quartiles
medians
ranges

is given below:

<h3>What is Box and Whisker plots?</h3>

A box and whisker plot is defined as a graphical method of displaying variation in a set of data.

From the first figure, write all the values where dark point is drawn

53, 62, 80, 86, 89

The lower extreme is the smallest value, which is 53.

The upper extreme is the highest value, which is 89.

The median will be the middle of data , which is 80

The upper quartile is the median of the upper region and the lower quartile is the median of the lower region.

The upper quartile is 86 and the lower quartile is 62.

Range of the data be,

= Highest - Lowest

=89-53

=36

From the second figure, write all the values where dark point is drawn

56, 62, 74, 89, 96

The lower extreme is the smallest value, which is 56.

The upper extreme is the highest value, which is 96.

The median will be the middle of data , which is 74.

The upper quartile is the median of the upper region and the lower quartile is the median of the lower region.

The upper quartile is 89 and the lower quartile is 62.

Range of the data be,

= Highest - Lowest

=96-62

=34

From the above discussion,

The First class have less upper extreme value than the second class.
The First class have less lower extreme value than the second class.
The First class have greater median than the second class.
The First class have less upper quartile than the second class.
The First and second class have equal lower quartile.
The First class have greater range than the second class.

The comparision of the two classes on the basis of extremes, quartile, median, range is concluded above.

learn more about box and whisper plot here:

brainly.com/question/11859288

#SPJ1

6 0

1 year ago

An airline's public relations department claims that when luggage is lost, 88% is recovered and delivered to its owner within 24

melisa1 [442]

Answer:

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

Step-by-step explanation:

Test if the proportion of times that luggage is returned within 24 hours is less than 0. 88

At the null hypothesis, we test if the proportion is of 0.88, that is:

$H_0: p = 0.88$

At the alternate hypothesis, we test if this proportion is less than 0.88, that is:

$H_a: p < 0.88$

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.88 is tested at the null hypothesis:

This means that $\mu = 0.88, \sigma = \sqrt{0.88*0.12}$

A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day.

This means that $n = 160, X = \frac{138}{160} = 0.8625$

Test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.8625 - 0.88}{\frac{\sqrt{0.88*0.12}}{\sqrt{160}}}$

$z = -0.68$

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.8625, which is the p-value of z = -0.68.

Looking at the z-table, the p-value of z = -0.68 is of 0.2483.

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

7 0

2 years ago

Kyle received the following course grades for 10 (three-credit) courses during his freshman year:

timofeeve [1]

Answer:

(a) The average grade point is 2.5.

(b) The relative frequency table is show below.

(c) The mean of the relative frequency distribution is 0.3333.

Step-by-step explanation:

The given data set is

4, 4, 4, 3, 3, 3, 1, 1, 1, 1

(a)