TheXSquaredFactor

Hev123, do you and SamJones know each other? You guys are asking the same question.

You provided a link to a question SamJones posted. I answered it, but you are still asking for help. Is there something about my answer you do not understand? 

I already answered this question for SamJones.

Links to other Web sites prove to be problematic time and time again, and this is a prime example. Upon attempting to access the link, I am confronted with a login box. I cannot help you. 

I think I can answer the second one.

2) Well, if the probability of the of someone carrying this particular is 0.2, then the reciprocal would represent the number of times I would expect before I hit a match. Since 3 people need to be detected, multiply this by three.

 \(3*\frac{1}{0.2}=15\text{ people}\)

What is the difference between a parameter and a statistic? Well, they both describe a group of something. The subtle difference, however, is that a parameter always represents the population while a statistic always represents a sample.

It may be better to use an example to demonstrate the difference. 

If I administer a survey to a class of 300 students and I ask them to state their hair color, then let's assume that 150 out of 300 say that their hair color is blond. An example of a parameter would be that 50% of students in my class has blond hair.

If I administer a survey to a class of 300 students and I ask only 100 of them to state their hair color, then let's assume that 50 out of 100 answered with blond. An example of a statistic would be that 50% of students in my class has blond hair.

Notice the difference. In a parameter, I questioned everyone in the class. In a statistic, I took only a portion of all the information that I had. Let's apply this to the following questions!

"85% of the golf team has scored lower than 80 strokes."

This is a parameter. The "golf team" is the population, and we are taking the information directly from everyone on the golf team

"A sample of football players suggests that 26% of football players run on weekends."

This is a statistic. The information mostly gives it away once it uses the keyword "sample."

"The soccer team has won 3 games for every 5 they have played."

This is a parameter. The information from the entire population.

"78% of those surveyed at the fair bought popcorn."

"those surveyed" is key. This implies that there were others that were not surveyed, which mean that the information is from a sample. Is would be a statistic, then. 

The first table shows the number of hours of sleep of the population. The second table only shows a subset of this information, which would also be known as the sample. 

The mean is also known as the average. Find the sum of the values in the table and divide by the number of data values given. 

\(\overline{x}=\frac{8+8+8.5+8+9+8+9+9+8.5+8}{10}=\frac{84}{10}=8.4\text{ hours of sleep}\)

1) A tangent segment, by definition, is an exterior segment of a circle that intersects a circle at one and only one point (known as the point of tangency).

\(\overline{OH}\) is in the interior region of a circle, so it cannot be a tangent segment. Radii are never tangent segments.

\(\overline{SD}\) fits the definition of a tangent segment and is, therefore, a tangent segment.

\(\overline{OC}\) is in the interior region of a circle, so it cannot be a tangent segment. 

\(\overline{RC}\) is in the interior region of a circle, so it cannot be a tangent segment. 

2) \(m\angle ADB=\frac{1}{2}m\widehat{AB}\) by the Inscribed Angle Theorem. This means that \(m\widehat{AB}=72^{\circ}\). Wait! We are not done, though. The question asks for the measure of the major arc, the one that has a measure of more than 180°. I know this because there are 3 letters in the arc's name. 

Therefore, \(m\widehat{ADB}=360-72=288^{\circ}\)

\((f\cdot g)(x)=f(x)\cdot g(x)\)

I attest that the notation is funky. It should be relatively simple from here.

By the Corollary to the Triangle Sum Theorem, the acute angles of a right triangle are complementary, so \(m\angle IGH+m\angle GHI=90^{\circ}\) . \(m\angle IGH=32^{\circ}\) is given information. Because \(m\angle IGH=32^{\circ}\), \(32^{\circ}\) can replace \(m\angle IGH\) in the previous equation, according to the Substitution Property of Equality, which results in the univariate equation \(32^{\circ}+m\angle GHI=90^{\circ}\) . Using the Subtraction Property of Equality in conjunction with simplifying, \(m\angle GHI=58^{\circ}\) .  \(\angle HIG \cong \angle LMK\) by the Right Angle Congruence Theorem. Because \(m\angle GHI=58^{\circ}\) and \(m\angle KLM=58^{\circ}\) , the Definition of Congruent Angles concludes that \(\angle GHI\cong \angle KLM\) . \(\angle HIG \cong \angle LMK\) and \(\angle GHI\cong \angle KLM\) are examples of two pairs of corresponding congruent angles, so, yes, \(\triangle GHI\sim\triangle KLM\) by the AA Similarity Theorem.