Answer: 99.51%
Step-by-step explanation:
Given : A survey found that women's heights are normally distributed.
Population mean : 
Standard deviation: 
Minimum height = 4ft. 9 in.=
Maximum height = 6ft. 2 in.=
Let x be the random variable that represent the women's height.
z-score : 
For x=57, we have

For x=74, we have

Now, by using the standard normal distribution table, we have
The probability of women meeting the height requirement :-

Hence, the percentage of women meeting the height requirement = 99.51%
Answer:
.. q T 0 = (q/p)a (q/p)a − (q/p)T−10 if p ≠ q and qT0 = 1 − T0/a if p = q = 1/2.
Step-by-step explanation:
Suppose that there are two different solutions, p and q, in [a, b]. Thus p =g(p) q =g(q) p ≠ q The function g(x) satisfies the hypotheses of the mean-value ... that g(p) –g(q) = (p – q) g׳(t) Because g(p) =p and g(q) = q, the left side of Eq. (1-3) may...
Answer:
Step-by-step explanation:
By the Pythagorean Theorem
h^2=x^2+y^2
Which means that the hypotenuse (longest side of a right triangle) squared is equal to the sum of its squared sides. In this case we are given the side lengths of 8 and 15 feet.
h^2=8^2+15^2
h^2=64+225
h^2=289
h=17 ft
The ladder is 17 feet long.
Answer:
and 
and b=
Step-by-step explanation:
We are given that a quadratic equation

We have to solve the equation by completing square and find the value of b.






and 

And 
Therefore,
and 
and b=
Answer:
3 2/3
Step-by-step explanation:
12 1/2 - 8 5/6
25/2 - 53/6
(75-53)/6
22/6
11/3
3 2/3