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mixas84 [53]
3 years ago
8

A Normal distribution has mean µ = 61.6. Find it’s standard deviation if 20% of the values are greater than 70. (Hint--use the z

-score formula).
Mathematics
1 answer:
statuscvo [17]3 years ago
4 0

Answer:

The value is  \sigma  = 9.976

Step-by-step explanation:

From the question we are told that

   The mean is \mu = 61.6

Given that 20% of the values are greater than 70, the z-score to  the right of the curve  corresponding to 20% (0.2) of the values is

     z-score = 0.842  

Generally this z-score is mathematically represented as

       z-score  = \frac{x - \mu }{\sigma }

Here  x = 70  

So

     0.842 = \frac{70 - 61.6  }{\sigma }

=>   \sigma  = 9.976

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Pachacha [2.7K]

Answer:

Fuel used = 111,303,473,760 MJ/year

Step-by-step explanation:

Power production = Fuel energy * Efficiency

1200 MW = Fuel energy * 0.34

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This means it consumes 3529.41 MJ/s.

Per year, it operates 365 days, 24 hours a day, 3600 seconds an hour.

To calculate the fuel used annualy we have to multiplicate by all these factors

Fuel used = 3529.41 MJ/s * 3600 s/hour * 24 hours/day * 365 days/year

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4 0
3 years ago
How can you use unit rates to solve pricing problems?​
melomori [17]

Answer:

a ratio is a comparison of two numbers or measurements

the objects being compared are called the terms of the ratio.

if the tow terms are different units this is called a rate.

example:

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solution:

Distance covered by David in 1 hour is

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Distance covered by John in 1 hour is

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When we compare the above unit rates (Distance covered in 1 hour), John is driving faster than David.

5 0
3 years ago
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Ajay's car used 3 1/4 gallons of gas on a trip to the beach. Assume 1 gallon = 3.8 liters. What is the best estimate of the numb
zimovet [89]

Ajay's car used 3 \frac{1}{4} gallons, or 3.25 gallons.

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From the answer choices, (C) is the closest. So, C is the correct answer.

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3 0
2 years ago
what are the coordinates of point T’, the image of point T(-2,5) after a rotation of 180 about the origin
RideAnS [48]

Answer:

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3 years ago
Can anybody explain how I answer this question I really don't get trig equations ​
nasty-shy [4]

SinØ(TanØ+2)=3cosØ -----[pulling like terms out]

for the following steps The easiest 4 me is that I just plug in values between 0° and 180° for Ø and see which will help me to get equal numbers on both sides.

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so 90° is one of the solutions ur looking for.

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6 0
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