Answer:
350 lightbulbs
Step-by-step explanation:
First find the number of batches made.
20,000 divided by 400 = 50
This means that there are 50 batches in which 7 light bulbs will be selected at random to be inspected.
We can multiply the number of batches to the lightbulbs being inspected.
50 times 7 = 350
Therefore, 350 lightbulbs will be inspected.
Please tell me if I am incorrect :)
Answer:
1440 combinations ways
Step-by-step explanation:
We know that the total arrangements will be
6!= 720 because its a 6letter word
So if we take MI to be a one letter word
Same for IM
which will Also be 6!= 720
SO TOTAL possible combination will be 720+720= 1440
The coordinates of the focus of the parabola are (4 , 0)
Step-by-step explanation:
The standard form of the equation of the parabola is
(x - h)² = 4p(y - k), where
- The vertex of the parabola is (h , k)
- The focus is (h , k + p)
- The directrix is at y = k - p
∵ The equation of the parabola is 12(y + 3) = (x - 4)²
- The form of the equation is (x - h)² = 4p(y - k), compare
between them to find h, k and p
∴ h = 4
∵ - k = 3
- Multiply both sides by -1
∴ k = -3
∵ 4p = 12
- Divide both sides by 4
∴ p = 3
∵ The coordinates of the focus are (h , k + p)
∵ h = 4 , k = -3 , p = 3
∴ k + p = -3 + 3
∴ k + p = 0
∴ The focus is (4 , 0)
The coordinates of the focus of the parabola are (4 , 0)
Learn more:
You can learn more about the equation of the parabola in brainly.com/question/9390381
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Answer:
28.5 feet
Step-by-step explanation:
A water tower casts a shadow that is 24 foot long. A 9.5 foot tall tree casts a shadow that is 8 foot long. What is the height of the water tower?
The formula is given as:
Height of the tower/Shadow of the tower = Height of the tree/Shadow of the tree
Let the Height of the tower = x
Hence:
x/24 = 9.5/8
Cross Multiply
8x = 24 × 9.5
x = 24 × 9.5/8
x = 28.5 feet
Therefore, the height of the water tower is 28.5 feet
