Answer:
The top choice
Step-by-step explanation:
1/2 x -2 > 0
Add 2 to each side
1/2 x -2+2 > 0+2
1/2 x > 2
Multiply each side by 2
1/2 x *2 > 2*2
x > 4
There is an open circle at 4 and the line goes to the right
Answer:
:]
Step-by-step explanation:
A. 1/5k - 2/3j and -2/3j + 1/5k
Step-by-step explanation:
Equivalent expressions are expressions that are the same even though they may appear different.When you plug in a value to represent a variable in these expression, they will give same answer when simplified.
In
1/5k - 2/3j and -2/3j + 1/5k you notice the operation signs in the terms has been maintained though the position of the terms shifted.
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Answer:
- <u><em>Option B. There will be close to 40 TVs but probably not exactly 40 TVs not showing a sports channel.</em></u>
Explanation:
There are a total of <em>7 sports channels</em> and 4 non-sports channels o<em>ut of 11 channels.</em>
The probability that one <em>TV will be not be showing a sports channel</em>, P(not S), is:
- P(not S) = number of non-sports channels / number of channels.
The <em>best prediction</em> on <em>how many TVs will not be showing a sports channel </em>is, the expected value, which is equal to the number of TVs mulitplied by P(not S):
- P(not S) = 110 × 4/11 = 40.
Since this is a random variable, the expected value is not the exact number of TV but just a probability.
Hence, the answer is the option <em>B: There will be close to 40 TVs but probably not exactly 40 TVs not showing a sports channel.</em>
2 numbers can be represented by the variables x and y.
Set up a system of equations:


The two numbers added together will result in a sum of 33. However, one number subtracted from another will result in a difference of 1.
In both systems of equations, there are inverses of variable y. Therefore, we can combine the systems of equations by adding them together:


Divide both sides by 2 to get x by itself:

One of the numbers will be 17.
Plug the value into one of the equations:

Add y to both sides:

Subtract both sides by 1 to get y by itself:

The two numbers that sum up to 33, with a difference of 1 between them, will be 16 and 17.