The answer should be 15-(50÷10)
Answer:
(1/2) qt/(3/4) hr = (1/2)*(4/3) qt/hr = (2/3) qt/hr
The rule for division of fractions is: invert the denominator and multiply.
To get the common denominator, we need to get the multiples of each denominator.
multiples of 6 : 6, 12, 18
multiples of 3 : 3, 6, 9, 12
multiples of 4 : 4, 8, 12
The common multiple 12. So, we need to multiply each fraction by the corresponding number that will result to a product of 12 in the denominator. Whatever number is multiplied to the denominator must also be the number multiplied to the numerator.
1/6 * 2/2 = 2/12
1/3 * 4/4 = 4/12
3/4 * 3/3 = 9/12
Since the denominator is already common, we use the numerator to arrange it in order from least to greatest. 2 is lesser than 4 and 4 is less than 9.
So, order from least to greatest ⇒ 1/6 , 1/3, and 3/4
Answer:
Step-by-step explanation:
The diameter of the circle is the distance from the endpoint to another endpoint. The diameter of the given circle is segment PQ. To determine the diameter of the circle, we would apply the formula for determining the distance between two points on a straight line is expressed as
Distance = √(x2 - x1)² + (y2 - y1)²
Therefore,
Diameter = √(1 - - 3)² + (9 - 5)²
Diameter = √4² + 4² = √32
Radius = diameter/2 = √32/2
A circle is the set of all points in a plane equidistant from a fixed point called the origin or center.
The center of the circle is determined by applying the midpoint formula
(x1 + x2)/2, (y1 + y2)/2
= (- 3 + 1)/2, (5 + 9)/2
Center = (- 1, 7)
The formula for determining the equation of a circle us expressed as
(x - h)² + (y - k)² = r²
Where
r represents the radius of the circle
h and k represents the x and y coordinates of the center of the circle. Comparing with the given points,
h = - 1 and k = 7
Substituting into the formula, it becomes
(x - h)² + (y - k)² = r²
(x - - 1)² + (y - 7)² = (√32/2)²
(x + 1)² + (y - 7)² = 32/4
(x + 1)² + (y - 7)² = 8
Answer: <em>Tara thinks correctly.</em>
Step-by-step explanation:
<em>Let's calculate the average value in sample A:</em>
<em>(4 × 70 + 5 × 100 + 6 × 125 + 7 × 135 + 8 × 70) ÷ 500 = 6,07 ≈ </em><em>6 hours</em>
<em>Let's calculate the average value in sample B:</em>
<em>(4 × 80 + 5 × 90 + 6 × 120 + 7 × 125 + 8 × 85) ÷ 500 = 6,09 ≈ </em><em>6 hours</em>
<em>So, Tara is correct in saying that the mean is 6.</em>