Answer: 0.8461
Step-by-step explanation:
Given : 
Let x be the random variable that represents the cost for the hospital emergency room visit.
We assume that cost for the hospital emergency room visit is normally distributed .
z-score for x=1000 ,
![z=\dfrac{1000-1400}{392}\approx-1.02\ \ \ [\because z=\dfrac{x-\mu}{\sigma}]](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B1000-1400%7D%7B392%7D%5Capprox-1.02%5C%20%5C%20%5C%20%5B%5Cbecause%20z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5D)
Using z-value table , we have
P-value =P(x>1000)=P(z>-1.02)=1-P(z≤ -1.02)=1-0.1538642
=0.8461358≈0.8461 [Rounded nearest 4 decimal places]
Hence, the probability that the cost will be more than $1000 = 0.8461
It would probably be B because it said between -30 and 130
F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =
[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.
g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =
[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.
So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.
w x L = 36
w = L- 5
L x ( L-5 ) = 36
L^2 -5L -36 =0
<span>Use the quadratic formula
L= - b + radical b^2 - 4 (a)(c) divided 2.a
L= 5 + 13 / 2 = 18 /2 =9</span>
Answer:
<h2>
240.34</h2>
Step-by-step explanation:
ΔA = 90° - 31°
= 59°
sin A = perpendicular ÷ base
sin 59° = 400 ft ÷ y
1.6643 = 400 ft ÷ y
y = 400 ÷ 1.6643
y = 240.34 ft
<h2>
MARK ME AS BRAINLIST</h2>
