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777dan777 [17]
3 years ago
14

The slope of the line that contains the points (2, 11) and (0, 5 ) is 3. Which of the following equations represents this line?

A. y = 3x + 9 B. y = 3x + 11 C. y = 3x + 5 D. y = 3x - 5
Mathematics
1 answer:
taurus [48]3 years ago
7 0

Answer:

C

Step-by-step explanation:

This is your current equation: y= 3x + b. Next, plug in one of your coordinates to the equation. It doesn't matter which one. I'm going to use the second ordered pair, so it should look like this: 5 = 3(0) + b. Multiply 3 and 0 to get 5 = b. So, your equation is y = 3x + 5. The correct answer is C. Hope this helped!

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krok68 [10]

The 95% confidence interval of the population mean, in years, is (4.3, 5.3). 4 years is not part of the confidence interval, which means that it contradicts the fact that 39% of students get their college degree in four years.

-----------------------------

To solve this question, we need to find the confidence interval for the amount of time it takes the students to get the degree.

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

-----------------------------

The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So

df = 80 - 1 = 79

-----------------------------

95% confidence interval

Standard level of confidence, we have to find a value of T, which is found looking at the t table, with 79 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 1.9905.

-----------------------------

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.9905\frac{2.2}{\sqrt{80}} = 0.5

In which s is the standard deviation of the sample and n is the size of the sample.

-----------------------------

The lower end of the interval is the sample mean subtracted by M. So it is 4.8 - 0.3 = 4.3 years.

The upper end of the interval is the sample mean added to M. So it is 4.8 + 0.3 = 5.3 years.

-----------------------------

The 95% confidence interval of the population mean, in years, is (4.3, 5.3). 4 years is not part of the confidence interval, which means that it contradicts the fact that 39% of students get their college degree in four years.

A similar question is given at brainly.com/question/24278748

6 0
2 years ago
An exponential function is graphed for all real numbers. This includes which of the following sets of numbers?
anygoal [31]

<span>In addition to linear, quadratic, rational, and radical functions, there are exponential functions. Exponential functions have the form f(x) = <span>bx</span>, where b > 0 and b ≠ 1. Just as in any exponential expression, b is called the base and x is called the exponent.</span>

 

<span>An example of an exponential function is the growth of bacteria. Some bacteria double every hour. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours. This can be written as f(x) = 2x.</span>

 

<span>Before you start,   f(0) = 2<span>0 </span>= 1</span>

<span>After 1 hour           f(1) = 21 = 2</span>

<span>In 2 hours              f(2) = 22 = 4</span>

<span>In 3 hours              f(3) = 23 = 8</span>

and so on.

 

 

<span>With the definition f(x) = <span>bx</span> and the restrictions that b > 0 and that b ≠ 1, the domain of an exponential function is the set of all real numbers. The range is the set of all positive real numbers. The following graph shows f(x) = 2x.</span>

<span> </span>

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If a container has 5 rows of boxes that are stacked 3 boxes high and 2 boxes deep, how many boxes are in the container?
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