let the amount of money earned by Prudie be p
since she earns the same amount of money each day after two days she has earned 2p
therefore the amount of money she needs to earn each day equals p0
What is the slope of the line represented by the equation 4x+3y=12
1 answer:
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Answer:
a)
b)
Step-by-step explanation:
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by:
Let X the random variable that represent the variable of interest on this case, and for this case we know the distribution for X is given by:
And let represent the sample mean, by the central limit theorem, the distribution for the sample mean is given by:
(a) Describe the sampling distribution of x overbar.
(b) What is Upper P (x overbar greater than 91.2 )
First we can to find the z score for the value of 91.2. And in order to do this we need to apply the formula for the z score given by:
If we apply this formula to our probability we got this:
And we want to find this probability:
On this last step we use the complement rule.
Answer:
Please check the attached diagram.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the rate of change or slope
- b is the y-intercept
<u>Analysis of y = - 3x + 2 </u>
Given the linear function
y = - 3x + 2
comparing with the slope-intercept form y = mx+b
The slope m = -3
The negative slope indicates that as the line on the line graph moves from left to right, the line falls.
In other words, the negative slope indicates that when x increases, y decrease, and vise versa.
Please check the attached graph of the function y = - 3x + 2. It is clear that when x increases, y decreases, hence the line falls when the graph of the line moves from left to right.
The red line graph represents the linear function y = - 3x + 2.
<u>Analysis of y = 4x + 2 (When -3 is replaced by 4)</u>
Now, when we replace -3 by 4 in the equation y = - 3x + 2, the equation becomes
y = 4x + 2
comparing with the slope-intercept form y = mx+b
The slope m = 4
The positive slope indicates that as the line on the line graph moves from left to right, the line rises.
In other words, the positive slope indicates that when x increases, y also increases, and vise versa.
Please check the attached graph of the function y = 4x + 2. It is clear that when x increases, y increases, hence the line rises when the graph of the line moves from left to right.
The blue line graph represents the linear function y = 4x + 2.
<u>Analysis of y = 2 (When -3 is replaced by 0)</u>
Given the equation
y = - 3x + 2
If we replace -3 by 0, the equation becomes
y = 0x + 2
y = 2
In other words, y = 2 represents a horizontal line because the horizontal line is of the form
y = k
where k is the y-intercept
here k = 2 is the y-intercept of the line y = 2.
Thus, slope zero means the value of y does not change no matter what we take or change the x-value.
The graph of line y = 2 is also attached which represents a horizontal line with slope 0 and y-intercept 2.
The green line graph represents the linear function y = 2.
Please check the graphs of all the lines.
