9514 1404 393
Answer:
C. √((5-9)² +(1+6)²)
Step-by-step explanation:
The distance formula can be written ...
d = √((x1 -x2)² +(y1 -y2)²)
Filling in the given point coordinates, this becomes ...
d = √((5 -9)² +(1 -(-6))²)
Simplifying the signs, this becomes ...
d = √((5 -9)² +(1 +6)²) . . . . . matches choice C
The prime number you are looking for is 141
Answer:
To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect. The two lines intersect in (-3, -4) which is the solution to this system of equations. I hope this helped!
Answer:
Null hypothesis 
Alternative hypothesis 
The p value is 0.000517, which is less than the significance level 0.01, therefore we reject the null hypothesis and conclude that population mean is not equal to 5.00.
Step-by-step explanation:
It is given that a data set lists earthquake depths. The summary statistics are



Level of significance = 0.01
We need to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00.
Null hypothesis 
Alternative hypothesis 
The formula for z-value is




The p-value for z=3.4719 is 0.000517.
Since the p value is 0.000517, which is less than the significance level 0.01, therefore we reject the null hypothesis and conclude that population mean is not equal to 5.00.