1) 8y + 9 2) 2n + 4 3) 3d + 5h
rearrange the equations and combine like terms. combine the terms with the same variables and add / subtract them.
for example number 1:
9y - 11 + 20 - y
is the same thing as
<em>9y - y</em> <u>+ 20 - 11</u>
and now you can easily combine them:
<em>8y</em> + <u>9</u>
i hope this helps!
A manager wants to test whether two normally distributed and independent populations have equal variances. the appropriate test statistic for this test is a "F-statistics."
<h3>
What is F-statistics?</h3>
An F statistic is a value obtained after performing an ANOVA test or even a regression analysis to determine whether the means of two populations differ significantly.
Some key features regarding the F-statistics are-
- It is comparable to a T statistic from the a T-Test; a T-test would then inform you when a single result is statistically significant, whereas a F test would then tell you if a set of variables is statistically significant.
- When determining whether your total results are significant, you must use the F statistic in conjunction with the p value. Why?
- A significant result does not imply that all of your variables have been significant.
- The statistic is simply comparing the cumulative influence of all the variables.
To know more about the F-statistics, here
brainly.com/question/17256783
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So you make them the same common denominator
As you see, 2/10 = 8/40
2/4 = x/40, multiply by 10
2/4 = 20/40
Then add because same denominator
Now you would get:
8/40 + 20/40 = 28/40
Shaded area = area of the hexagon – area of the pentagon + area of the square – area of the equilateral triangle. This can be obtained by finding each shaded area and then adding them.
<h3>Find the expression for the area of the shaded regions:</h3>
From the question we can say that the Hexagon has three shapes inside it,
Also it is given that,
An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon.
From this we know that equilateral triangle is the smallest, then square, then regular pentagon and then a regular hexagon.
A pentagon is shown inside a regular hexagon.
- Area of first shaded region = Area of the hexagon - Area of pentagon
An equilateral triangle is shown inside a square.
- Area of second shaded region = Area of the square - Area of equilateral triangle
The expression for total shaded region would be written as,
Shaded area = Area of first shaded region + Area of second shaded region
Hence,
⇒ Shaded area = area of the hexagon – area of the pentagon + area of the square – area of the equilateral triangle.
Learn more about area of a shape here:
brainly.com/question/16501078
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8/11 cant be an improper fraction because the numerator is smaller than the denominator
