Answer:
The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.
Step-by-step explanation:
We have the population's standard deviation, so we can find the normal confidence interval.
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 Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
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.
The lower end of the interval is the sample mean subtracted by M. So it is 15.8 - 1.064 = 14.736 tons
The upper end of the interval is the sample mean added to M. So it is 15.8 + 1.064 = 16.864 tons
The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.
Explanation:
A system of equations are two or more equations that has to be valid at the same time. It means that the variables of one equation can be substitute in the other equation.
For example we have <span>y=5x−8</span> and we can substitute this value of y in the other equation
<span>4x+3y=33</span>
<span>4x+3<span>(5x−8)</span>=33</span> we can solve now for x
<span>4x+15x−24=33</span>
<span>19x=33+24</span>
<span>19x=57</span>
<span>x=<span>5719</span>=3</span>.
y can be obtained from the first equation
<span>y=5x−8</span>
<span>y=5⋅3−8=15−8=7</span>
Then <span>x=3</span> and <span>y=7</span>.
Answer:
one is addition the other is multiplication, though, both the sum and product equal the same solution
Step-by-step explanation:
hope it helps
7over4 is the simplified form
