The range of a function is representative of the values on the y-axis. In this case, the graph will contain distance on the y-axis at is the dependent variable, while the independent variable is time.
We know that the minimum value of the distance will be 0, given that there can be no negative distance. Moreover, the maximum value is 26.2 miles, since the marathon will then be over. Therefore, a good range for the situation will be 0-27 miles.
According to the statement above, The Hamden board of education called every <span>tenth person on the registration list. So let's analyze each case:
</span><span>The sample is not randomly chosen (FALSE)
Given that the statement doesn't tell us anything about the way they choose the sample, it is reasonable to conclude that this is a </span>randomly chosen. They called every tenth person on the registration list until the number of people was 40.
The sample should be larger to give more reliable information (TRUE)
You did not have to use mathematics to determine that you would need more information to get a conclusion. You must increase the sample, that is, the sample must be larger to give a reliable information.
The sample size is too large to make inferences (False)
This is explained in the previous item. If the sample should be lager is because the size is not too large.
The sample size is too small to represent the population (TRUE
This is true because 40 voters represent barely 0.5% of the entire list. This list has 7300 voters, so getting the conclusion from this sample doesn't provide with a strong conclusion.
<span>The sample size is too small and will show larger variation. (FALSE)
Although the sample size is too small, the sample size not necessarily will show variation. In fact, it is possible that it does not show any variation and most of the people feel well about building a new media center for the middle school but it doesn't mean that the whole community does.
The sample is invalid because it randomly chooses voters. (FALSE)
It is false because in probability studies the sample is chosen randomly, so you get conclusions about the whole population always taking samples that represent the population as a whole.
The sample size is too small and can lead to false inferences (TRUE)
You can get false conclusions given that the sample size is too small. <span>It's important to note that the sample size supports the conclusion of the study, so the sample must increase to have a reliable study.
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Answer:
Explanation:
To solve log (−5.6x + 1.3) = −1 − x graphycally, you must graph this system of equations on the same coordinate plane:
- Equation 1: y = log (5.6x + 1.3)
1) To graph the equation 1 you can use these features of logarithmfunctions:
- Domain: positive values ⇒ -5.6x + 1.3 > 0 ⇒ x < 13/56 (≈ 0.23)
- Range: all real numbers (- ∞ , ∞)
log ( -5.6x + 1.3) = 0 ⇒ -5.6x + 1.3 = 1 ⇒x = 0.3/5.6 ≈ 0.054
x = 0 ⇒ log (0 + 1.3) = log (1.3) ≈ 0.11
- Pick some other values and build a table:
x log (-5.6x + 1.3)
-1 0.8
-2 1.1
-3 1.3
- You can see such graph on the picture attached: it is the red curve.
2) Graphing the equation 2 is easier because it is a line: y = - 1 - x
- slope, m = - 1 (the coeficient of x)
- y - intercept, b = - 1 (the constant term)
- x - intercept: y = 0 = - 1 - x ⇒ x = - 1
- The graph is the blue line on the picture.
3) The solution or solutions of the equations are the intersection points of the two graphs. So, now the graph method just requires that you read the x coordinates of the intersection points. From the least to the greatest, rounded to the nearest tenth, they are:
- <u><em>x₁ ≈ - 2.1</em></u>
Answer:
Percent form: 41.65%
Fraction form: 
Step-by-step explanation:
33% of men support John Smith.
67% of women support John Smith.
Lets say, for instance, that there are 20 polled individuals -- 10 women and 10 men.
However, since 1.5 times as many men voted as women, we have to apply our poll to 15 men and 5 women.
33% of the 15 men makes 5 men who voted for Smith and 10 who did not.
67% of the 5 women makes 3.33 women who voted for Smith and 1.67 who did not.
Add these numbers together.
8.33 total voters were cast for John Smith, while 11.67 were not.
Now, divide 8.33 by 20 and multiply by 100 to obtain a percentage.
41.65% of voters voted for John Smith according to the results of the poll.
Electrons do not have FEET
