Step-by-step explanation:
a+(a+60)=760
a=adult tickets
a+60=student tickets
a+a+60=2a+60
2a+60=760
-60 -60
2a=700
÷2. ÷2
a=350
350 adult tickets
C=x+9, c+x=99, c=99-x
So we have two equations equal to c, c=x+9 and c=99-x, since c=c:
x+9=99-x
2x+9=99
2x=90
x=45, and since c=x+9, c=54
So Charlie weighs 54 kg and his brother weighs 45 kg.
Answer:
? Is 41 degrees
Step-by-step explanation:
SOH CAH TOA
Hypotenuse is 60
Adjacent is 45
Hypotenuse and adjacent - Cos
(Cos inverse to find the angle)
Cos(?) = a/h
Cos(?) = 45/60
Cos-(45/60) =?
? = 41.40962211
Hope this helps!
Answer:
- 0.9503 ; r is not statistically significant ; 0.9031
Step-by-step explanation:
Given the following :
Age (X) :
37
41
57
65
73
Bone density (Y)
355
345
340
315
310
Using the pearson R value calculator :
The r value of the data % - 0.9503.
This value depicts a very strong negative correlation between age and density of bone.
Using the pearson R calculator to obtain the P- value, the P value obtained is .01332 and hence the r is not significant at P < 0.01.
The Coefficient of determination R^2 can be obtained by getting the square value of R
R^2 = - 0.9503^2
R^2 = 0.90307009
R^2 = 0.9031