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OlgaM077 [116]
3 years ago
12

Find the number b, where b>0, such that the average value of f(x)=3−27x2 on the interval [0,b] is equal to 2.

Mathematics
1 answer:
Ymorist [56]3 years ago
8 0
F(×)=3-27×2
4-1=3×3=9-27
18×2=36
ob
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2 years ago
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.046.0 and
Gala2k [10]

Answer:

The probability of selecting a class that runs between 50.2550.25 and 51.2551.25 minutes is 0.10

Step-by-step explanation:

The Uniform Distribution, also known as Rectangular Distribution, is a type of Continuous Probability Distribution. It has a continuous random variable restricted to a finite interval and its probability function has a constant density during this interval.

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In this exercise a= 46.0 and b= 56.0

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\int\limits^{51.25}_{50.25} {\frac{1}{56-46} } \, dx = \int\limits^{51.25}_{50.25} {\frac{1}{10} } \, dx = \frac{1}{10} \times (51.25 - 50.25)=\frac{1}{10}=0.1

7 0
2 years ago
You are spreading fertilizer on a golf course at the rate of 40 pounds per 10,000 square feet. If the course is 320 acres, how m
NemiM [27]
1 Acre = 43560 square feet 
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320 Acres = 320 * 43560 square feet = 13939200 = <span>1393.92 * 10,000

</span>1393.92 *40 pounds needed = 55756.8
55756.8 / 2000= <span>27.8784 </span>
5 0
3 years ago
Read 2 more answers
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