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Alekssandra [29.7K]
3 years ago
11

Suppose a normal distribution has a mean of 50 and a standard deviation of

Mathematics
2 answers:
grandymaker [24]3 years ago
7 0

Then standardize the two scores

48 and 52

to be able to consult the table.

The formula for changing a raw score x into a z score is

Z=X−μσ.

For this problem, X is normal with

μ=50 and σ=5.

So, by symmetry of the standard normal curve,

P(48<X<52)

=P(48−50<X−50<52−50)

=P(48−505<X−505<52−505)

=P(−25<Z<25)

=P(−.40<Z<.40)

=P(Z<.40)−P(Z<−.40)

=P(Z<.40)−P(Z>.40)

=P(Z<.40)−(1−P(Z<.40))

=2P(Z<.40)−1

=2(.6554)−1

=1.3108−1

=.3108≈.31

=31%.

hoa [83]3 years ago
5 0

Answer:

27.8% I think

Step-by-step explanation:

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Wire of length 20m is divided into two pieces and the pieces are bent into a square and a circle. How should this be done in ord
blondinia [14]

Answer:

The radius of the circle ,r= 1.43 m

The length of the side of square ,a= 2.77 m

Step-by-step explanation:

Given that

L= 20  m

Lets take radius of the circle =r m

The total parameter of the circle = 2π r

Area of circle ,A=π r²

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The total parameter of the square = 4 a

Area of square ,A'=a²

The total length ,L= 2π r+ 4 a

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r=3.18 - 0.63 a

The total area = A+ A'

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A"= 3.14(3.18 - 0.63 a)² + a²

For minimize the area

\dfrac{dA"}{da}=0

3.14 x 2(3.18 - 0.63 a) (-0.63) + 2 a = 0

3.14 x (3.18 - 0.63 a) (-0.63) + a = 0

-6.21 + 1.24 a + a=0

2.24 a = 6.21

a=2.77 m

r= 3.18 - 0.63 a

r= 3.18 - 0.63 x 2.77

r=1.43 m

Therefore the radius of the circle ,r= 1.43 m

The length of the side of square ,a= 2.77 m

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