Answer: 5
Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.
Notice that our data set is already written from least to greatest.
1, 2, 2, 8, 9, 14
Notice that in this data set, there is no middle number directly because 2 and 8 fall directly in the middle. In this situation, we take the average of these two middle numbers and divide their sum by 2.
Since 2 and 8 are the numbers that appear in the middle, we add them.
2 + 8 gives us 10.
Now we divide 10 by 2 to get 5.
So the median of this data set is 5.
ANSWER
Find out the how much fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .
To proof
let us assume that the fluid should be drained and replaced with pure antifreeze be x .
As given
A radiator contains 10 quarts of fluid, 30% of which is antifreeze.
Now write 30% in the decimal form
Now write 60% in the decimal form
After drained and replaced the fluid with pure antifreeze than the quantity becomes = ( 10 - x )
The quantity of antifreeze is
The fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .
than the equation becomes
solyving
100x +300 - 30x = 600
70x = 300
x = 4.28 quarts (approx)
Hence 4.28 quarts (approx) fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .
Therefore the option (c.) is correct .
Answer:
199
Step-by-step explanation:
Answer:
2x^2 + 7x + 3 is the area of the rectangular piece of wood.
Step-by-step explanation:
Here,
Length ( l ) = x + 3
Breadth ( b ) = 2x + 1
Formula : -
Ar ( rectangle ) = lb
lb
= ( x + 3 ) ( 2x + 1 )
= x ( 2x + 1 ) + 3 ( 2x + 1 )
= 2x^2 + x + 6x + 3
= 2x^2 + 7x + 3
Here is your function:
You're looking for f(-1). To get your answer, you have to replace all the x's with -1.
Here is your new equation:
Multiply 2 by -1
<em>Remember:</em>
MULTIPLYING
- Positive(+) times negative(-) is equal to negative
- Positive(+) times positive(+) is equal to positive
- Negative(-) times negative(-) is equal to positive
- Negative(-) times positive(+) is equal to negative
DIVIDING
- Positive(+) divided by positive(+) is equal to positive
- Positive(+) divided by negative(-) is equal to negative
- Negative(-) divided by positive(+) is equal to negative
- Negative(-) divided by negative(-0 is equal to positive
Since you're multiplying a negative number by a positive number, the answer will be negative.
Here is your new equation:
Add -2 and 2:
That means your answer is 0
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<em>If you have any questions, feel free to ask in the comments! :)</em>