1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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%

You might be interested in
21. Construct quadrilateral ABCD, where AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm,
Lunna [17]
AC= 10cm because B is the half point between A and C so your adding AB= 4.5 cm and BC= 5.5 cm you get a total of 10 cm, so your answer would be 10 cm
5 0
3 years ago
Which transformation of Figure A results in Figure A' ?
MariettaO [177]

Option B: a counterclockwise rotation of 90° about the origin

Explanation:

From the graph, we can see the coordinates of the figure A are (0,2), (-1,6) and (-4,4)

The coordinates of the figure A' are (-2,0), (-6,-1) and (-4,-4)

<u>Option B: a counterclockwise rotation of 90° about the origin </u>

The transformation rule for a coordinate to reflect a counterclockwise rotation of 90° about the origin  is given by

(x,y)\implies (-y,x)

Let us substitute the coordinates of the figure A

Thus, we have,

(0,2)\implies(-2,0)

(-1,6)\implies (-6,-1)

(-4,4)\implies(-4,-4)

Thus, the resulting coordinates are equivalent to the coordinates of the figure A'.

Therefore, the figure is a counterclockwise rotation of 90° about the origin .

Hence, Option B is the correct answer.

3 0
3 years ago
Read 2 more answers
If 1 inch equals approximately 2.5 centimeters, how many centimeters are equal to 12.5 inches?
andriy [413]

Answer:

31.75 cm is equal to 12.5 in

Step-by-step explanation:

3 0
3 years ago
How many minutes are in nine and one fourth hours?
saveliy_v [14]

Answer:

555 minutes

Hope this helps!

3 0
3 years ago
Read 2 more answers
A customer enters an order to buy 1,000 abc at 50, good for the week only. how will this order appear on the order book?
marysya [2.9K]

This isn't math.

GTW means good this week, so choice b.

Don't ever put in GTW orders; it's pretty much asking to be robbed.

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the standard deviation of 98 97 99 98 96
    6·1 answer
  • Suppose that partners equally share the profits from a sale of $3,600. Which algebraic expression represents this situation?
    11·2 answers
  • A quality control specialist for a large computer store conducted a random sample of 150 laptops from its stock. She found 3 did
    11·1 answer
  • Look at the triangle:<br> What is the value of sin xº?<br> 5/13<br> 12 = 5<br> 12 - 13<br> 5-12
    6·2 answers
  • 3 and 5/16 as a decimal please explain
    5·1 answer
  • <img src="https://tex.z-dn.net/?f=18-%5Csqrt%7B%7D%20-25" id="TexFormula1" title="18-\sqrt{} -25" alt="18-\sqrt{} -25" align="ab
    13·1 answer
  • FIND THE LENGTH OF THE HYPOTENUS OF THE TRAINGLE ?HURRY¿<br> DO QUESTIONS 1 AND 2
    13·2 answers
  • Is the answer A,B,C or D?
    15·1 answer
  • Simplify (3^-2/3•3^1/3)^-1 using rational exponents
    11·1 answer
  • A sequence is recursively defined by f(1)=3,f(n)=2* f(n-1) for n &gt;=2. Write the equation for the nth term
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!