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esnyderquintero
13.06.2020 •
Mathematics
Is the magnitude of an earthquake related to the depth below the surface at which the quake occurs? Let x be the magnitude of an earthquake (on the Richter scale), and let y be the depth (in kilometers) of the quake below the surface at the epicenter. x 2.5 4.1 3.3 4.5 2.6 3.2 3.4 y 4.8 10.3 11.2 10.0 7.9 3.9 5.5
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Ответ:
Yes, the magnitude of earthquake tends to increase with the increase in depth, and vice versa.
Step-by-step explanation:
Step 1:Make a scatter plot from the values:
(Attachment)
Step 2:Find Correlation Coefficient 'r'Using calculator, first find
∑x= 2.5+4.1+3.3+4.5+2.6+3.2+3.4 = 23.6
∑y= 4.8+10.3+11.2+10.0+7.9+3.9+5.5 = 53.6
∑x²= (2.5)²+(4.1)²+(3.3)²+(4.5)²+(2.6)²+(3.2)²+(3.4)² = 82.76
∑y²=(4.8)²+(10.3)²+(11.2)²+(10.0)²+(7.9)²+(3.9)²+(5.5)² =462.44
∑xy = (2.5*4.8)+(4.1*10.3)+(3.3*11.2)+(4.5*10.0)+(2.6*7.9)+(3.2*3.9)+(3.4*5.5) = 187.91
n=7
Substitute all in the formula of Correlation Coefficient
r=0.5587
As the value is positive, it means that when x increase, y also tends to increase,and vice versa
Ответ:
Step-by-step explanation:
It is a ratio. Set it up like fractions. Dom's height over his shadow and his son's height over his shadow. 72/60:x/50
We don't know the son's height, so we substitute with 'x'.
Now reduce the first fraction. 72/60
What number goes into both? A factor tree will show that 12 will go into both, so divide top and bottom by 12.
72 divided by 12 =6 and 60 divided by 12 =5. So, now our ratio looks like:
6/5 : x/50 Find out how many times 5 goes into fifty. Answer is 10. You have to multiply 5 by 10 to get to 50, so you have to multiply 6 by 10 to get to x.
6 time 10 = 60
Dominic's son is 60minches tall.