The formula to calculate the z-score of a certain value is:
z = (x - (mean))/(standard deviation)
In this example, the x-value is 450, the S.D. is 100, and the mean is 500.
So, substitute these values into the formula.
z = (450-(500))/100
z=-50/100
z=-0.5
Therefore, the z-score is -0.5.
Answer:
1 3/10
Step-by-step explanation:
5 1/5 ÷ 4= 1 3/10
Answer:
48.
or 
51.
or 
54.
or 
57.
or 
Step-by-step explanation:
48. 
-There are two equations:
Equation 1:

or
Equation 2:

Solving equation 1:




(Inequality sign changed, because of dividing by a negative number)
-Solving equation 2:




(Inequality sign changed, because of dividing by a negative number)
-Answers:
or 
51. 
-There are two equations:
Equation 1:

or
Equation 2:

-Solving equation 1:



-Solving equation 2:



Answers:
or 
54. 
-There are two equations:
Equation 1:

or
Equation 2:

-Solving equation 1:





-Solving equation 2:





-Answers:
or 
57. 
-There are two equations:
Equation 1:

or
Equation 2:

-Solving equation 1:





Solving equation 2:





Answers:
or 
And we are finished.
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You need to do 32,000/100 which is 320 and then multiply this by 4. This is 1280. Now you need to divide 1280 by 5 which is 256.
This means that she can get 256 new photos, so yes, she can get 200 more photos.
Hope this helps x
Answer: A: (x + 4)² + (y - 5)² = 8
<u>Step-by-step explanation:</u>
The equation of a circle is: (x - h)² + (y - k)² = r² where
- (h, k) is the center of the circle
- r is the radius of the circle
To find the equation of circle A, we need (h, k) and r².
It is given that (h, k) = (-4, 5)
The distance between the center of circles A and B is the radius of circle A.
Let's find the center of circle B by completing the square:
x² - 4x + ____ + y² + 6y + _____ = 12 + ____ + _____
↓ ↓
h = -4/2 k = 6/2
h = -2 k = 3 → Circle B has center (-2, 3)
Now let's find the distance between the center of circles A and B:

= (-4 - (-2))² + (5 - 3)²
= (-2)² + 2²
= 4 + 4
= 8
Now we have the the center (h, k) and the r² for circle A:
(h, k) = (-4, 5) and r² = 8 → (x + 4)² + (y - 5)² = 8