MATHEMATICS COLLEGE

Graph or explain how to graph the equation: y = 3x -5

Answers

Answer 1

Answer:

The graph of the Equation y= 3x- 5 with coordinates (0, 5) and (1.667, 0) is attached below.

We have,

y= 3x - 5

Now, to find the coordinates to plot one the graph put the distinct value of x as

For x= 0

y= -5

then, for x= 1

y= 3 - 5

y= -2

then, for x= 2

y= 6-5

y= 1

and, for x= 3

y= 9 - 5

y= 4

Learn more about Graph here:

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Answer 2

Answer:

slope intercept form is

y=mx+b

where m is the slope and b is the y intercept

the equation is given in slope intercept form so that the

slope = 3

y-intercept = -5

to graph this you will first place a point on (-5,0) since it's the y intercept.

then since the slope is rise/run and we have 3 (or 3/1) you will start at (-5,0), and from there go up 3 units and to the right one unit. where you end up will be your second point.

hope this helps

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The average (A) of two numbers, m and n, is given by the formula A = m+t/2 . Findthe average of the two numbers 36 and 72.
The solution is

Answers

Answer:

$54$

Step-by-step explanation:

Formula for average A of two numbers m and n is:

$A=(m+n)/(2)$

Substitute the value m=36 and n=72

$A=(36+72)/(2)$

This is equivalent to:

$A=(108)/(2)$

The average is:

$A=54$

Which descriptions of a histogram are true? Check all that apply..A peak is a bar that is lower than the other bars around it.
A peak is where the frequency is lowest.
A peak is where the frequency is the highest.
A cluster is a group of bars, meaning the frequency is higher in these intervals.
A peak is a bar that is higher than the other bars around it.
Intervals on a histogram where there are no bars mean the frequency is 0.
If the graph is symmetrical, the data is clustered toward the right side.
If the graph is symmetrical, the data is evenly distributed.

Answers

The correct statement about histogram is as follows;

A peak is where the frequency is the highest.

A cluster is a group of bars, meaning the frequency is higher in these intervals.

A peak is a bar that is higher than the other bars around it.

Intervals on a histogram where there are no bars mean the frequency is 0.

If the graph is symmetrical, the data is evenly distributed.

We have to determine, which descriptions of a histogram are true?

According to the question,

A histogram meaning can be stated as a graphical representation that condenses a data series into an easy interpretation of numerical data by grouping them into logical ranges of different heights which are also known as bins.

Characteristics of a Histogram are as follows;

A histogram is used to display continuous data in a categorical form.

In a histogram, there are no gaps between the bars, unlike a bar graph.

The width of the bins is equal.

A histogram is a type of representation of a data set where bars are used to represent the frequencies.

The area of these bars is said to be proportional to the frequency of the variable.

The peak of a histogram represents the highest value of frequency. Also, the peak is a bar that is higher than the other bars around it.

In a histogram intervals wherein bars cannot be seen would represent the frequency of that would zero.

Also, if the histogram is said to be symmetrical, then the data should be distributed evenly.

A peak is where the frequency is the highest.

A cluster is a group of bars, meaning the frequency is higher in these intervals.

For more details refer to the link given below.

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Answer:

A peak is where the frequency is the highest.

A cluster is a group of bars, meaning the frequency is higher in these intervals.

A peak is a bar that is higher than the other bars around it.

Intervals on a histogram where there are no bars mean the frequency is 0.

If the graph is symmetrical, the data is evenly distributed.

Step-by-step explanation:

I am a rectangle. two of my sides are each 7 inches long. My area is 28 square inches. What is the length of each of my other two sides?

Answers

If one pair of sides is 7 inches and the area is length times width then the answer would be whatever you multiple by 7 to get 28, so it would be 4 inches for each of the other two sides.

Answer:

Step-by-step explanation:

The formula for a rectangle is base times height so if one side is 7 inches then you need to figure out what times seven equals 28, which would be four.

What is the initial value of the exponential function shown on the graph? a. 0, b. 1, c. 2, d. 4

Answers

Answer:

Step-by-step explanation:

4 is the initial value of the exponential function shown on the graph.

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The ratio of Green marbles to total marbles in a bag is 2 to 9. The ratio of red marbles to total marbles in th same bag is 1 to 3 which of the following statements is true

Answers

I can’t see the name of the school I have been with you for the long period I think I’m going back in a few minutes I’m sorry I

In the past, 21% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm has been charged with conducting a sample survey to obtain more current information. (a) What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.09? Use a 95% confidence level. (Round your answer up to the nearest whole number.)

Answers

Answer:

A sample size of 79 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{(\pi(1-\pi))/(n)}$

In which

z is the zscore that has a pvalue of $1 - (\alpha)/(2)$ .

For this problem, we have that:

$\pi = 0.21$

The margin of error is:

$M = z\sqrt{(\pi(1-\pi))/(n)}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - (0.05)/(2) = 0.975$ , so $Z = 1.96$ .

What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.09?

A sample size of n is needed.

n is found when M = 0.09. So

$M = z\sqrt{(\pi(1-\pi))/(n)}$

$0.09 = 1.96\sqrt{(0.21*0.79)/(n)}$