Answer:
14
Step-by-step explanation:
To get the mean, you have to add all the numbers together, and then divide them by how many numbers there are. Here, i'll show you.
There are 6 numbers, including [tex]Y[/tex], which we need to find out.
The Equation: [tex]\frac{4+6+9+Y+16+19}{6} = 13[/tex]
- We can simplify this equation into, [tex]\frac{54 + Y}{6} = 13[/tex]
To find [tex]Y\\[/tex], we can do the inverse, and multiply [tex]13[/tex] by [tex]6[/tex].
(The 6 on the left side of the equation is then cancelled out)
- [tex]\frac{54+Y}{6} = 13[/tex] becomes [tex]54 +Y =13[/tex] × [tex]6\\[/tex]
- [tex]13[/tex] × [tex]6 = 78[/tex] so then [tex]54 + Y = 78[/tex]
For this final equation to be true, [tex]Y[/tex] would have to equal [tex]14[/tex].
Hope the rest of your math goes well :)
