When the population mean and standard deviation are known, you use the standard normal distribution
<h3>How to determine the distribution?</h3>
There are several probability distributions; these include
- Normal distribution
- Poisson distribution
- Chi square distribution
- Binomial distribution
- Etc
Of all these distribution, only the standard normal distribution can be used when the population mean and standard deviation are known,
Note that it is also referred to as the z-distribution
Read more about probability distributions at:
brainly.com/question/24756209
Answer:1
Explanation:since the absolute value of -3 is 3 and 4-3=1
Answer:
A piecewise function.
Step-by-step explanation:
The problem you showed is a <em>piecewise function.</em>
In this problem, you have to plug in 3 for the value x.
However, if you take a look at the conditions that value x has, it never says that x can equal 3. <em>Thus, this function cannot be true.</em>
<em>Way to check this input is undefined: </em>
Plug in 3 for the variable x. On the first function, your output will be 4. On the second function, your output will be 8.
According to the definition of a function, a function can have many inputs but only one output. In this case, this function has one input, that is 3, but produces two outputs.
Given QR is congrent to LN and QR = 4x + 2 and LN = x + 7.
So, QR = LN
Hence, we can set up an equation as following:
4x + 2 = x + 7
4x + 2 - x = x + 7 - x Subtract x from each sides.
3x + 2 = 7 By simplifying.
3x + 2 - 2 = 7 - 2 Subtract 2 from each sides.
3x = 5
Divide each sides by 3 to isolate x.
So, 
Next step is to plug in
in QR = 4x+2 to get length of QR.
So, 
Since 2 can be written as 2/1.
By multiplying the second fraction by the common denominator 3.
By simplifying the second fraction.

So, 