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777dan777 [17]
3 years ago
7

Fuel economy estimates for automobilos built in a certain yoar predicted a mean of 26.8 mpg and a standard deviation of 72 mpg f

or highway driving. Assume that a normal distribution can be applied. Within what
range are 99.8% of the automobiles?
Mathematics
1 answer:
kodGreya [7K]3 years ago
4 0

Answer:

range=u ± 3.09 sd

Step-by-step explanation:

Given:

mean, u= 26.8 mpg

standard deviation, sd=72 mpg

% contained in interval = 99.8%

the interval for 99.8% of the values of a normal distribution is given by

mean ± 3.09 standard deviation= u ± 3.09 sd

                                                      =26.8  ± 3.09(72)

                                                      =26.8 ± 222.48

                                                      = 249.28 , -195.68

range=u ± 3.09 sd = 249.28 , -195.68 !

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lara [203]

Answer:

Correct answers:

A. An angle that measures \frac{\pi}{6}  radians also measures  30^o

C. An angle that measures 180^o  also measures \pi  radians

Step-by-step explanation:

Recall the formula to transform radians to degrees and vice-versa:

\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\  \\\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians

Therefore we can investigate each of the statements, and find that when we have a \frac{\pi}{6}  radians angle, then its degree formula becomes:

\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians\\\angle\,degrees=\frac{180^o}{\pi} \,* \,\frac{\pi}{6} \\\angle\,degrees=\frac{180^o}{6} \\\angle\,degrees=30^o

also when an angle measures 180^o  , its radian measure is:

\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\\angle\,radians=\frac{\pi}{180^o} \,* \,180^o\\\angle\,radians=\pi

The other relationships are not true as per the conversion formulas

7 0
3 years ago
Can the numbers 24, 32, 42, be the lengths of the three sides of the right triangle? Explain why or why not
Musya8 [376]
No the don't add up to one eighty I'm pretty sure if not tell me
8 0
3 years ago
I need help pls help me
lutik1710 [3]

First Method:

Round \frac{3}{5} to the closest integer, which is 1.

Round \frac{3}{4} to the closest integer, which is also 1.

So 1 + 1 = 2.

Answer for method 1: 2

Second Method:

\frac{3}{5} + \frac{3}{4} = \frac{3*4}{5*4} + \frac{3*5}{4*5}  = \frac{12}{20}+\frac{15}{20}=\frac{27}{20}

\frac{27}{20} is around 1

Answer for method 2: 1

The closest answer is 1.

3 0
2 years ago
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Wewaii [24]
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5 0
3 years ago
What is the value of x?
pantera1 [17]

x=9 because the triangle is equilateral which means every side is equal to 60. When you do the math you get 7x-3=60 which is 7x=63 and 63/7=9

7 0
3 years ago
Read 2 more answers
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