Answer:
Week 4
Step-by-step explanation:
Ben has $250 in the beginning. He saves $150 per week.
y = 150x + 250
Tim has $1,650 in the beginning. He spends $200 per week.
y = 1650 - 200x
We are trying to find which x-value produces the same y-value for both equations. You can do this by setting both equations equal to each other.
150x + 250 = 1650 - 200x
(150x + 250) + 200x = (1650 - 200x) + 200x
350x + 250 = 1650
(350x + 250) - 250 = (1650) - 250
350x = 1400
(350x)/350 = (1400)/350
x = 4
By week 4, they will have the same amount of money.
Answer:
see explanation
Step-by-step explanation:
To show f and g are inverses we require to show that
f(g(x)) = x and g(f(x)) = x
f(g(x))
= f(6x - 4)
=
=
= x
-----------------------------------------------------------------------------
g(f(x))
= g(
)
= ( 6 ×
) - 4
= x + 4 - 4 = x
-------------------------------------------------
Hence f and g are inverses
**Answer**:
The Reflection across y axis
Step-by-Step Explanation:
A reflection across the y axis with x Coordinate of 0 will stay 0 and also does
Not change the y Coordinate of k
~ hope this helps
Answer:
The minimum sample size is 239.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Z-table as such z has a p-value of
.
That is z with a pvalue of
, so Z = 2.575.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
Population standard deviation is equal to 1.5
This means that 
Margin of error of 0.25
This means that 
What's the minimum size of the sample?






Rounding up:
The minimum sample size is 239.
<u>11 chairs at each table.</u> (157/14 = 11.214...)
<u>There will be 3 chairs left over.</u> (14x11 = 154 157-154 = 3)