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%

4 0

3 years ago

3 <img src="https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B7%7D%20%20%3D%20" id="TexFormula1" title=" {3}^{7} = " alt=" {3}^{7} =

DedPeter [7]

Answer:2187

Step-by-step explanation:

3*3*3*3*3*3*3=2187

3 0

3 years ago

fine the equation of the line that goes through the point (2,-9) that is parallel to the line with equation y=-3/4x

Andre45 [30]

Answer:

y=6x

Step-by-step explanation:

g=-9/2

c=0

y=-9/2x

3/4x*-9/2

y=6x

8 0

2 years ago

Ashley can ride her bicycle 15 miles in 2 hours there are 60 minutes I 1 hour and there are 1760 years in 1 mile how many yards

il63 [147K]

Answer:

speed is given by:

speed=distance/time

given that:

1 mile=1,760 yards

1 hour=60 min

then the speed in yards/sec will be:

distance Ashley covered is 15 miles

time=2 hours

thus;

speed=(15x1760)/(2x60)

=220 yards/ min

Step-by-step explanation:

Hi hope helps you :)

5 0

3 years ago