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katrin [286]
3 years ago
10

According to a human modeling​ project, the distribution of foot lengths of women is approximately Normal with a mean of 23.4 ce

ntimeters and a standard deviation of 1.3 centimeters. In the United​ States, a​ woman's shoe size of 6 fits feet that are 22.4 centimeters long. What percentage of women in the United States will wear a size 6 or​ smaller?
Mathematics
1 answer:
stiv31 [10]3 years ago
4 0

Answer: 22.0.6%

Step-by-step explanation:

Given : According to a human modeling​ project, the distribution of foot lengths of women is approximately Normal with \mu=23.3\ cm and \sigma=1.3\ cm.

In the United​ States, a​ woman's shoe size of 6 fits feet that are 22.4 centimeters long.

Then, the probability that women in the United States will wear a size 6 or​ smaller :-

P(x\leq22.4)=P(z\leq\dfrac{22.4-23.4}{1.3})\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\\approx P(z\leq-0.77)\\\\=1-P(z\leq0.77)\\\\=1-0.77935=0.2206499\approx0.2206=22.06\%

Hence,  the required answer = 22.0.6%

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Step-by-step explanation:

In Triangle

A

B

C

with the right angle at

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, let

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,

b

, and

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be the opposite, the adjacent, and the hypotenuse of

∠

A

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⇒

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⇒

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(

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Wataru ·  1 · Oct 29 2014

How do you find all the missing angles, if you know one of the acute angles of a right triangle?

The sum of the measures of all the angles in a triangle is always equal to

180

o

.

In a right triangle, however, one of the angles is already known: the right angle, or the

90

o

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Let the other two angles be

x

and

y

(which will be acute).

Applying these conditions, we can say that,

x

+

y

+

90

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y

=

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−

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Tanish J. ·  1 · Nov 26 2014

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http://etc.usf.edu/clipart/36500/36521/tri11_36521.htm

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s

−

i

n

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θ

)

=

 

o

−

pposite

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s

(

θ

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=

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−

djacent

/

h

−

ypotenuse

t

−

a

n

(

θ

)

=

o

−

pposite

/

a

−

djacent

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C

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and the value of angle

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in the above triangle. Using the cosine function you can solve for

c

, the hypotenuse.

cos

(

A

)

=

a

c

Which rearranges to;

c

=

a

cos

(

A

)

If you know the length of both sides

a

and

b

, you can solve for the tangent of either angle

A

or

B

.

tan

(

A

)

=

a

b

Then you take the inverse tangent,

tan

−

1

to find the value of

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Zack M. ·  4 · Dec 7 2014

What are inverse trigonometric functions and when do you use it?

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