Answer:
The minimum sample size needed is
. If n is a decimal number, it is rounded up to the next integer.
is the standard deviation of the population.
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 = 1.645.
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.
How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean?
A sample of n is needed, and n is found when M = 4. So






The minimum sample size needed is
. If n is a decimal number, it is rounded up to the next integer.
is the standard deviation of the population.
Answer:
A 6 units up
Translation rule
Y rule
+= up
-= down
X rule
+= right
-=left
Reflection rule
Reflection over x axis
Y that was once a positive number, is flipped to a negative
example
6,2 reflected over the x axis.
2=-2
Y axis rule example
-2,7 reflected over the y axis
-2=2
Step-by-step explanation:
If it ever says (example,example) like flipped over the x, it will change the y.
Same for a flip over the y, it will change the x
The answer is 6/48. You would multiply 3/8 by 1/3 across and get 3/24,then you multiply 3/24 by 2 and get 6/48
C. translated down 2 units
---The "-2" located on the outside of f(x) tells us that the y-values are being changed. With that, the graph can be moved up or down. The presence of the negative/subtraction sign tells us that the graph is moved down.
D. translated right 4 units
---The "-4" located with the x in f(x) tells us that the x-values are being changed. The only tricky thing about this is that the direction of the movement is actually the opposite of the sign. So with the negative/subtraction sign, the graph is moved to the right instead of the left.
Hope this helps!
Answer:
x + y = 4 Equation 1
y = 2x -1 Equation 2
-2x + y = -1
x + y = 4
Subtract
You will get
- 3x = -5
Divide by -3
-3x / -3 = - 5 /-3
x = 5/3
Substitute x into equation 1
x + y = 4
x = 5/3
5/3 + y = 4
y = 4 - 5/3
y = 7/3
x = 5/3 y = 7/3
Hope this helps.