Answer:
4.5 hour and 2 hour
Step-by-step explanation:
Given: The mean number of hours per day spent watching television, according to a national survey, is 3.5 hours, with a standard deviation of two hours.
To Find: If each time was increased by one hour, what would be the new mean and standard deviation.
Solution:
let the total numbers entries of hours in survey be = 
each entry in survey be = 
mean of survey is =
=

standard deviation is =
=

if each entry in survey is increased by one hour then,
each new entry in survey is = 
the new mean is
= 


+
=
+ 1=

now,
standard deviation is


putting values,

=
=2
new mean and standard deviation are
and

<h3>
Answers:</h3>
- g(-1) = -1
- g(1) = -3/2
- g(5) = -7/2
======================================
Explanation:
The piecewise function g(x) is defined based on what the input is.
- If the input x is less than -2, then g(x) = 2
- Or if
then g(x) = -(x-1)^2+3 - Or if
then g(x) = (-1/2)x-1
---------------
In the case of g(-1), we have x = -1 which makes
true.
So we'll use the second piece
g(x) = -(x-1)^2+3
g(-1) = -(-1-1)^2+3
g(-1) = -(-2)^2+3
g(-1) = -4+3
g(-1) = -1
----------------
For g(1), we have x = 1 which makes
true
We'll use the third piece
g(x) = (-1/2)x-1
g(1) = (-1/2)*1 - 1
g(1) = -1/2 - 1
g(1) = -1/2 - 2/2
g(1) = -3/2
-----------------
For g(5), we have x = 5 which makes
true
g(x) = (-1/2)x-1
g(5) = (-1/2)*5-1
g(5) = -5/2 - 1
g(5) = -5/2 - 2/2
g(5) = -7/2
If I am not mistaken the answer should be
X=5
Y=-1
5-(-1)=6.
I think it would be two solutions
They would get 1 cheesecake a piece and there would be 2 left and if they used that then they would have to cut that into 4 pieces for both cheesecakes and they would have 1 2/8 of cheesecake