Answer:
1 quart is .945 L
Step-by-step explanation:
There are 1000 millie litres in a litre because millie means thousandth; thus, 1 quart =.945 L
We do the midpoint formula to find the center of the circle to get the left side of the equation.
Midpoint = [(X₁ + X₂) / 2 , (Y₁ + Y₂) / 2]
Now plug in:
[(8 + 4) / 2 , (- 6 - 2) / 2]
(12 / 2 , - 8 / 2)
(6, - 4)
The center of the circle is (6, -4)
Now we plug it into the equation of a circle:
(x - h)² + (y - k)² = r² where (h, k) is the center of the circle and r is the radius.
(x - 6)² + (y + 4)² = r² is the left side of the equation. This will eliminate options A and C
Now we do the distance formula using the center and an endpoint to get the radius. The formula for distance is:
√((X₂ - X₁)² + (Y₂ - Y₁)²)
We plug in using either of the endpoints.
√((4 - 6)² + (- 2 - (- 4))²)
√((-2)² + 2²)
√(4 + 4)
√8
√8 is your radius
(√8)² = 8
Your correct answer is (x - 6)² + (y + 4)² = 8, Option D
Answer:
y = -x + 6
Step-by-step explanation:
<u>Use point slope form: (y - y1) = m(x - x1)</u>
m is -1
<u>Step 1: Plug in</u>
(y - (-4)) = -1(x - 10)
y + 4 - 4 = -x + 10 - 4
y = -x + 6
Answer: y = -x + 6
Ok, 65% of the attendants were men, 25% were women.
That leaves us with 10% remaining.
From those 10% .................The problem tells us that 40% are boys
So 10% * ( 0.4 ) = 4% ..............This means that 4% of the total attendants were boys.
So the distribution is
65%........men
25%........women
4%..........boys
6%...........girls
640 boys attended the game.....> this means that 4% of the total amount of people is 640.
So the number of persons that attended were
T= 100% *(640)) / 4% = 16000 people
Answer:
a. 1965
b. 8 years
Step-by-step explanation:
For answers to questions like these it can work to consider the smallest possible dataset.
<h3>Dataset</h3>
For our purpose, consider the 9 years/values to be averaged to be ...
1, 2, 3, 4, 5, 6, 7, 8 ,9
<h3>Observations</h3>
a. The center value of the data set is 5. Its number is 5-1=4 more than the first one.
The first centered value is from the year 1961 +4 = 1965.
b. The 4 values at the beginning, and the 4 values at the end do not have a corresponding "average" value. That is, 4+4 = 8 values in the series are lost with respect to the number of average values.
8 years of values are lost.
