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 
and 
.
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\%](https://tex.z-dn.net/?f=P%28x%5Cleq22.4%29%3DP%28z%5Cleq%5Cdfrac%7B22.4-23.4%7D%7B1.3%7D%29%5C%20%5C%20%5B%5Cbecause%20z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%5Capprox%20P%28z%5Cleq-0.77%29%5C%5C%5C%5C%3D1-P%28z%5Cleq0.77%29%5C%5C%5C%5C%3D1-0.77935%3D0.2206499%5Capprox0.2206%3D22.06%5C%25)
Hence, the required answer = 22.0.6%
The ratio for this problem is 1:5.
If you are drawing 14 pentagons, you would do 14 x 5.
14 (pentagons) x 5 (line segments) = 70 line segments in total.
The answer is C) 70
inequality could be used to find the number of models Walt builds. Correct option B).
<u>Step-by-step explanation:</u>
Here we have , Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most 9 models. We need to find Which inequality could be used to find the number of models Walt builds . Let's find out:
Let the the number Walt builds is x , So Dwight builds 7 fewer models than 4 times the number Walt builds i.e.
⇒ 
But , according to question Dwight builds at most 9 models i.e.
⇒
⇒ 
⇒ 
⇒ 
Therefore , inequality could be used to find the number of models Walt builds which is Dwight builds at most 9 and Walt builds at most 4 .
4x² + 2x - 30 = 0
<span>
factor out the GCF:
</span>2(2x² + x - 15) = 0
<span>
factor the trinomial completely:
2x</span>² + x - 15 = 0
2x² + 6x - 5x - 15 = 0
2x(x + 3) - 5(x + 3) = 0
(2x - 5)(x + 3) = 0
<span>use the zero product property and set each factor equal to zero and solve:
2x - 5 = 0 or x + 3 = 0
2x = 5 x = -3
x = 2.5
</span><span>The roots of the function are x=-3, x=2.5</span>
Answer:
rc length = 10 * 8pi/5
= 16pi
This is the circumference of the base
(a) 2pir = 16pi where r = radius of base
2r = 16
r = 8 cm
(b) 10^2 = h^2 + 8^2
h^2 = 100 - 64
= 36
h = 6 cm
