11.3(-10x - 3) + 6x = 75
1 answer:
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If you are not familiar with the Pythagorean theorem, I will write it below to remind you for your future mathmatical endeavours:
c is the hypotenuse, and a and b are the other two sides. The hypotenuse is the largest side of a triangle. In this example, a and b are equal to each other and c is equal to 2, so I'm going to convert b into a and do some math trickery here:
Basically, I swapped b with a and combined like terms. Then I just replaced c with 2, then squared it into 4.
All you have to do now is solve for a
Step 1 is to divide both sides by 2 to get:
Then just square both sides:
Now you know that the length of the sides are equal to the square root of 2.
Sorry if this was a bit rushed, I hate running out of time on these. If you have any questions on why I did something, ask away in the comments.
c is the hypotenuse, and a and b are the other two sides. The hypotenuse is the largest side of a triangle. In this example, a and b are equal to each other and c is equal to 2, so I'm going to convert b into a and do some math trickery here:
Basically, I swapped b with a and combined like terms. Then I just replaced c with 2, then squared it into 4.
All you have to do now is solve for a
Step 1 is to divide both sides by 2 to get:
Then just square both sides:
Now you know that the length of the sides are equal to the square root of 2.
Sorry if this was a bit rushed, I hate running out of time on these. If you have any questions on why I did something, ask away in the comments.
Hello,
First you have order all the number least to the greater. That gives 30, 75, 80, 85, 85, 95, 95, 100, 100, 110.
Afterwards you have to find the median. Why ?
I will explain you. It's because the median is robust. In fact, it can't be influenced by extreme values (example : 110) but the mean yes. So the mean won't be accurate.
"Then why don't you choose the mode ? " you will ask me. That's because the mode takes the number which appears most often in a set of numbers. It couldn't be accurate at all. It will be useless for this set of numbers.
Furthermore, here there are 3 numbers which appears the most ( 2 times for each) : $85, $95 and $100. Which one will you take ?
Therefore the median is the most suitable and the most accurate to know the center because it is robust.
Now, let's find the median :
There are 10 values, so the median will be the average of the 5th and 6th values.
5th value = 85
6th value = 95
Therefore the median is 90.
Hope this helps !
Photon
First you have order all the number least to the greater. That gives 30, 75, 80, 85, 85, 95, 95, 100, 100, 110.
Afterwards you have to find the median. Why ?
I will explain you. It's because the median is robust. In fact, it can't be influenced by extreme values (example : 110) but the mean yes. So the mean won't be accurate.
"Then why don't you choose the mode ? " you will ask me. That's because the mode takes the number which appears most often in a set of numbers. It couldn't be accurate at all. It will be useless for this set of numbers.
Furthermore, here there are 3 numbers which appears the most ( 2 times for each) : $85, $95 and $100. Which one will you take ?
Therefore the median is the most suitable and the most accurate to know the center because it is robust.
Now, let's find the median :
There are 10 values, so the median will be the average of the 5th and 6th values.
5th value = 85
6th value = 95
Therefore the median is 90.
Hope this helps !
Photon