Answer:
P ( Z < 72 ) = 0.8577 or P ( Z < 72 ) = 85.77 %
Step-by-step explanation:
We know:
-A normal distribution
-Mean μ = 69.0 in
-Standard deviation σ = 2.8 in
- Population n = 350
And doors height 72 in
If passengers will pass through the door without bending that means he must be under 72 in tall, therefore we are looking for the probability of men under 72 in, to find such probability we compute the value of Z according to
Z = ( X - μ ) / σ ⇒ Z = ( 72 - 69 ) / 2.8
Z = 1.07
Now with this value we look the Z tables, to find a value of: 0.8577
So the probability of select a men and that he can fit through the door is
P ( Z < 72 ) = 0.8577 or P ( Z < 72 ) = 85.77 %
Answer:
See IN set by step
Step-by-step explanation:
1.We choose a fish pond of radius 3 centered at (x, y) = (0, 3). The equation of the circle is ...
(x -0)^2 +(y -3)^2 = 3^2
x^2 +(y -3)^2 = 9
At this location it is easy to draw a radius along the y-axis to a point of tangency at the origin. That radius is a vertical line, so the tangent line will be perpendicular--a horizontal line.
A horizontal line through the origin has equation y = 0, and its point of intersection with this circle is (0, 0).
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Comment on the question
You haven't elaborated on what the lesson discussed, so we have no idea what steps you want included.
I could not answer 2 and 3 but maybe if i get it i will edit this paper and add it in.
Answer: D
Step-by-step explanation:Lets label hot dogs as 'h' and soft drinks as 's'
6h + 4s = 13 (Equation 1)
3h + 4s = 8.50 (Equation 2)
We can solve by process of elimination.
Subtract equation 1 from equation 2.
We get:
3h = 4.5
h = 1.5
So that means that the hot dog costs $1.50 which is answer choice D.
Answer:
$37.50
Step-by-step explanation:
1 money = 12.50
Before spending anything he had 2 money more than this (3 overall)
Therefore we are multiplying-
12.50 x 3 = 37.50
The answer is $37.50
