Answer:
C $3 discount
Step-by-step explanation:
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Answer:
Step-by-step explanation:
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95% of red lights last between 2.5 and 3.5 minutes.
<u>Step-by-step explanation:</u>
In this case,
- The mean M is 3 and
- The standard deviation SD is given as 0.25
Assume the bell shaped graph of normal distribution,
The center of the graph is mean which is 3 minutes.
We move one space to the right side of mean ⇒ M + SD
⇒ 3+0.25 = 3.25 minutes.
Again we move one more space to the right of mean ⇒ M + 2SD
⇒ 3 + (0.25×2) = 3.5 minutes.
Similarly,
Move one space to the left side of mean ⇒ M - SD
⇒ 3-0.25 = 2.75 minutes.
Again we move one more space to the left of mean ⇒ M - 2SD
⇒ 3 - (0.25×2) =2.5 minutes.
The questions asks to approximately what percent of red lights last between 2.5 and 3.5 minutes.
Notice 2.5 and 3.5 fall within 2 standard deviations, and that 95% of the data is within 2 standard deviations. (Refer to bell-shaped graph)
Therefore, the percent of red lights that last between 2.5 and 3.5 minutes is 95%
Answer:
42 ft²
Step-by-step explanation:
First of all, who makes a hole in this shape?
Anyways,
You're going to want to split the figure into multiple different shapes. We already have a triangle, so I would split the remaining shape into a rectangle and trapezoid.
We can find the area of the triangle easily with the equation 1/2(bh)
So
1/2(2 · 3)
1/2(6)
3
So the triangle is 3 ft²
Now we can find the area of the rectangle.
The measurements will be 3 and 7. It's just base x height so it'll be 21 ft²
Finally the trapezoid.
Base 1: 6
Base 2: 3
Height: 4 (11-7)
Formula: 1/2h (b1 + b2)
1/2 · 4 (6+3)
2(9)
18 ft²
Now just add them together:
3+21+18=42
Hence, your answer is 42 ft²
