For this case we must find the solution set of the given inequalities:
Inequality 1:
Applying distributive property on the left side of inequality:
Subtracting 3 from both sides of the inequality:
Dividing by 6 on both sides of the inequality:
Thus, the solution is given by all the values of "x" greater than 3.
Inequality 2:
Subtracting 3x from both sides of the inequality:
Subtracting 3 from both sides of the inequality:
Thus, the solution is given by all values of x less than 4.
The solution set is given by the union of the two solutions, that is, all real numbers.
Answer:
All real numbers
If you assign variables to the problem, it can make things a lot simpler. Lets say chairs are x and tables are y. Therefore you have:
2x+6y=40
5x+3y=25
Now you can isolate the variable of one equation and put it into another (it doesn't matter which. I'm going to manipulate the top equation to plug into the bottom one).
2x=40-6y
x=20-3y
Now I plug into bottom equatioin:
5(20-3y) + 3y=25
100-15y+3y=25
100-12y=25
-12y=-75
y=$6.25
Now you can plug in y in either equation to get x.
2x+6(6.25)=40
37.5+2x=40
2x=2.5
x=1.25
So it costs $6.25 for each table and $1.25 for each chair. If you think about it, it would make sense for the table to cost more for the chair.
Answer:
Step-by-step explanation:
Answer:
Option A. The average number of crisps per can of Pringles is less than 100.
Step-by-step explanation:
We are given that the member of consumer group is wants to determine whether the average number of crisps per can of pringles is less than the average number of crisp mentioned in an advertisement whereas average number of crisp mentioned in an advertisement are 100 crisps per can. We know that the null hypothesis always contains equality and alternative hypothesis is contrary to the null hypothesis. Thus, the alternative hypothesis would be that the average number of crisps are less than 100 per can. So, the formed hypothesis are
Null hypothesis: The average number of crisps per can of Pringles is 100.
Alternative hypothesis: The average number of crisps per can of Pringles is less than 100.
The Geometric mean of 4 and 10 is 6.32
<u>Explanation:</u>
Given:
Two numbers are 4 and 10
Geometric mean, GM = ?
We know,
GM = ![\sqrt[n]{a_1 X a_2}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba_1%20X%20a_2%7D)
Where,
n = 2
Substituting the value we get"
![GM = \sqrt[2]{4 X 10} \\\\GM = \sqrt[2]{40} \\\\GM = 6.32](https://tex.z-dn.net/?f=GM%20%3D%20%5Csqrt%5B2%5D%7B4%20X%2010%7D%20%5C%5C%5C%5CGM%20%3D%20%5Csqrt%5B2%5D%7B40%7D%20%5C%5C%5C%5CGM%20%3D%206.32)
Thus, the Geometric mean of 4 and 10 is 6.32
