Answer: (5.5, -4)
Step-by-step explanation:
You can use the midpoint formula to find the midpoint of point A and point B.
x₁ = 8
x₂ = 3
y₁ = -7
y₂ = -1
Midpoint = (5.5, -4)
Hope this helps!
The system of equations has infinite solutions.
<h2>Given to us,</h2>
<h3>Equation 2,</h3>
The value of y is already given in equation 1,
substituting the value of y in equation 2,
The solution of the two equations is 0. Also, we can see that both the equations are in ratio.
Further, the image also shows that the line of the two equations are coinciding.
Hence, the system of equations has infinite solutions.
Learn more about System of solutions:
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Let x = software program
Let y = video game
x < 200 ; y < 300
x + y < 425
50x ; 35y
x = 200 ; y = 225
50(200) + 35(225) = 10,000 + 7,875 = 17,875
x = 125 ; y = 300
50(125) + 35(300) = 6,250 + 10,500 = 16,750
x = 175 ; y = 250
50(175) + 35(250) = 8,750 + 8,750 = 17,500
It is more profitable to maximize production of software program when working within the limits provided.
The chi-squared test statistic will be 3.11. The test statistic is contrasted with a predicted value based on the Chi-square distribution.
<h3>What is the chi-squared test statistic?</h3>
Finding the squared difference between the actual and anticipated data values, then dividing that difference by the expected data values, constitutes the test statistic.
The formula for the chi-squared test statistic is;
Where,
is the observed value
is the expected value
The chi-square test statics is;
Hence, the chi-squared test statistic will be 3.11.
To learn more about the chi-squared test statistic refer;
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Answer:
Correlation does not imply causation
Step-by-step explanation:
Correlation is a statistical technique which shows how strongly a pair of variables are linearly related and change together.
Causation says that the change in one value will cause the other to change, making one variable dependent on the other.
Examples of correlation with causation are:
a) ice cream sales and summer temperatures
b) forest fires and summer temperatures
An example of correlation without causation is ice cream sales and forest fires. While they both increase as temperatures increase, ice cream sales are not CAUSING the forest fires.
From the information available it can be suggested that there is a correlation between sexual intercourse within a month prior to delivery as there is a higher number of fetus deaths to mothers who had sexual intercourse within a month prior to delivery. However, there is no information which shows the sexual intercourse caused the deaths. Additionally, 89% of the mothers of fetuses who died DID NOT have sexual intercourse within a month prior to delivery, thus even the correlation is weak in this case.
