Answer:
We need a sample size of at least 719
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 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.
How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?
This is at least n, in which n is found when 
. So
Rouding up
We need a sample size of at least 719
Answer:
Option F is correct, i.e. "rotating 90° counterclockwise around point C."
Step-by-step explanation:
Given is the regular octagon PQRSTVWZ with its center at point C.
To map octagon PQRSTVWZ onto itself, we must provide such a transformation that should not change the size or coordinates of the vertices.
We can not use Translations, Reflections, and Dilations because they will change size and coordinates.
We can use only Rotations and that should be about the center C of the regular shape.
About center point C, and rotations of 90° does not change the orientation of the regular octagon, Both images would overlap each other.
Hence, option F is correct, i.e. "rotating 90° counterclockwise around point C."
Answer:
Step-by-step explanation:
to find the arithmetic sequence with a4=-1 and a6=-13
first: find the difference: an=a+(n-1)d
a4=-1
that means a1+d(4-1)=-1 ( since a4 given and need to find a1)
a1+3d=-1 first equation
a1+d(6-1)=-13 ( a6 is given)
a1+5d=-13 second equation
a1+3d=-1
a1+5d=-13 ( find a and d by subtraction)
a1+3d-a1-5d=-1-(-13)
2d=12
d=-12/2=-6 ( substitute d in the equation: a1+3d=-1)
difference =-6
a1=17
a1,a2,a3,a4,a5,a6,....
the sequence is : 17,11,5,-1,-7,-13,.....
hope it works
So here is the answer to the given question above. Analyzing the given figure, we can see that at 0 miles, the cost is 25. Between 0 and 40 miles, the cost rises by 10. Therefore, the function that would represent this situation would be this: <span>f(x) = (10/40)x+25
</span><span> f(x) = 1/4 *x+ 25
f(x) = 0.25x + 25
Hope this is the answer that you area looking for. </span>
Answer:
The point that can be used to create a right triangle that has AB as it’s hypotenuse is (3,3)
Step-by-step explanation:
From the attached diagram, the point to create a right triangle will be traced to the and y axis.
Let the point be represented with C(x,y)
At point A, tracing the line to x axis gives 3 x = 3
At point B, tracing the line to y axis gives also 3. y = 3
C(x,y) = C(3,3)
Hence, the point that can be used to create a right triangle that has AB as it’s hypotenuse is (3,3)
