Answer:
D
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 6, - 8), thus
(x + 6)² + (y + 8)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)
r = 
= 
= 
= 10
Hence
(x + 6)² + (y + 8)² = 100 → D
The z score that has 70.54% of the distribution area is 9.92
<h3>What is a z-score?</h3>
The z-score is a numerical measurement used in statistics to refer to how much a given value differs from the standard deviation.
For the random variable x, the z-score is;
z = (x - 11)/2
therefore, 70.54% of the area under the curve lies to the right of x,
then the area to the left of x is;
100 - 70.54 = 29.46%
From the standard table, a z-score of -0.54 will yield an area of 29.46% to the left of x.
Therefore, we get;
(x - 11)/2 = -0.54
x - 11 = -0.54(2)
x = 9.92
The z score is 9.92
Learn more about z score here;
brainly.com/question/4167122
#SPJ1
<h3>
Answer:</h3>
x=30
<h3>
Solution:</h3>
- First, use the distributive property:
- 8x-3(2x-4)=3(x-6)
- 8x-6x+12=3x-18
- Simplify:
- 2x+12=3x-18
- 2x-3x=-12-18
- -x=-30
- x=30
Hope it helps.
Do comment if you have any query.
Answer:
5.5%
Step-by-step explanation:
Given data
Simple interest = $137.50
Principal= $500
time = 5 years
We want to find the rate R
Simple interest= PRT/100
137.50 = 500*R*5/100
137.50=2500R/100
cross multiply
137.5*100= 2500R
13750= 2500R
divide both sides by 2500
R= 13750/2500
R=5.5%
Hence the rate is 5.5%
Well I tried doing it but depends what your trying to do with the equation but I got
x= -a/3 - 5d/3
