Answer:
x - 11
Step-by-step explanation:
- A number stands for an unknown variable in which x takes it place
- The word fewer alerts us to subtraction, thus the minus sign
- 11 fewer than a number is the same as saying a number minus 11.
Answer:
80444444444444444448----2-19999999999999999999999999999999999999488888888888888888888888865194974037205702795042-73--457-309703407203570-2-5-593759597207092-7503928077475073703594370975909304575407590565-17596332-659549579-27943595396575-2759650-2650-2959-92552820595907979474237947479023333333372222227403794322225409732222224700007945479470000374444444440944453709433337094444444444444474555555709479000447950497439270007454709490375777772093749930579047093479352974300000040357999994794432099999994907777743799949034970349743972437900000000940733320944444755555554099970304937777449037709437453094490377974374903
Step-by-step explanation:
Answer:
The new coordinate of the image will be (4, 0) when the point (-4,0) is rotated 180 degrees counterclockwise using center (0,0).
i.e. [(-4,0)→(4,0)]
Step-by-step explanation:
The rule for rotation a point 180° counterclockwise about the origin states that when a point (x, y) is rotated 180° counterclockwise about the origin, the new position of the coordinates of point P(x, y) becomes (-x, -y).
Hence,
- Rotate (x, y) counterclockwise 180° about the origin: [(x,y)→(-x,-y)]
So, when the given point (-4,0) is rotated 180 degrees counterclockwise using center (0,0), the new coordinates of the image will be:
- Rotate (-4, 0) counterclockwise 180° about the origin: [(-4,0)→(4,0)]
Therefore, the new coordinate of the image will be (4, 0) when the point (-4,0) is rotated 180 degrees counterclockwise using center (0,0).
i.e. [(-4,0)→(4,0)]
Keywords: rotation, origin, image
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Answer:
Option 1
Step-by-step explanation:
Counter-intuitively, the correct answer is option 1. Option 2 is obviously a cross section, since it is the shape of the base of the triangle. Option 3 is also obviously a cross section, since the figure is a triangular prism. Option 4 is a cross section because, if you slice diagonally, you may create a cross section with a wider base on the bottom and larger on top. However, it is impossible to create a cross section of a rectangle from this square pyramid. Hope this helps!
Answer:
Step-by-step explanation:
60 minutes = 1 hour
The statement would be
"Customers arrive at a checkout counter in a department store according to a Poisson distribution at an average of seven per 60 minutes
If it takes approximately ten minutes to serve each customer, then the mean service time for in minutes for customers arriving during a 1-hour period is
10/60 × 7 = 1.67
In Poisson distribution, variance = mean
Therefore,
Variance = 1.67
The probability that the total service time will exceed 2.5 hours is expressed as P(x > 2.5)
Converting 2.5 hours to minutes, it becomes 2.5 × 60 = 150 minutes
From the Poisson distribution calculator,
P(x > 150) = 0
