Answer:
Fraction of older Americans who were included in the study and suffered broken bones during the three-year period = (37/389) = 0.0951
Step-by-step explanation:
The fraction of older Americans who were included in the study and suffered broken bones during the three-year period?
This fraction = (Number of older Americans who suffered broken bones recorded during the three year period of the study)/(Total number of older Americans involved in the study)
Number of older Americans who suffered broken bones recorded during the three year period of the study = (11 from those that took the additional supplements) + (26 from those that did not take additional supplements) = 11 + 26 = 37
Total number of older Americans involved in the study = 389
Fraction of older Americans who were included in the study and suffered broken bones during the three-year period = (37/389) = 0.0951
Answer:
16 Unit
Step-by-step explanation:
With P(-2,1) , Q(6,1) , R(4,-3) , S(4,1) , the triangle and its altitude look like the one attached in figure.
The length of base PQ is the difference in the x-coordinates of P and Q,
6-(-2)=6+2=8 , because the y-coordinates are both the same as 1.
The height (the length of altitude RS is the difference in the y-coordinates of R and S,
1-(-3)=1+3=4 , because the y-coordinates are both the same as 4 .
The area is
.
Answer:
17
Step-by-step explanation:
I'm pretty sure that's right learned this last year. Good luck!
Answer:
C.
Step-by-step explanation:
The parabolic motion is an illustration of a quadratic function
The equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31
<h3>How to model the function?</h3>
Given that:
x stands for time and y stands for height in feet
So, we have the following coordinate points
(x,y) = (5,0), (11,0) and (10,80)
A parabolic motion is represented as:
y =ax^2 + bx + c
At (5,0), we have:
25a + 5b + c = 0
c= -25a - 5b
At (11,0), we have:
121a + 11b + c = 0
Substitute c= -25a - 5b
121a + 11b -25a - 5b = 0
Simpify
96a + 6b = 0
At (10,80), we have:
100a + 10b + c = 80
Substitute c= -25a - 5b
100a + 10b - 25a -5b = 80
75a -5b = 80
Divide through by 5
15a -b = 16
Make b the subject
b = 15a + 16
Substitute b = 15a + 16 in 96a + 6b = 0
96a + 6(15a + 16) = 0
Expand
96a + 90a + 96 = 0
This gives
186a = -96
Solve for a
a = -16/31
Recall that:
b = 15a + 16
So, we have:
b = -15 * 16/31 + 16
b =-240/31 + 16
Take LCM
b =(-240 + 31 * 16)/31
[tex]b =256/31
Also, we have:
c= -25a - 5b
This gives
c= 25*16/31 - 5 * 256/31
Take LCM
c= -880/31
Recall that:
y =ax^2 + bx + c
This gives
y = -16/31x^2 + 256/31x - 880/31
Hence, the equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31
Read more about parabolic motion at:
brainly.com/question/1130127
