Answer:
Step-by-step explanation:
15a²bc = 3·5·a²·b·c
20ab²c = 2²·5·a·b²·c
25bc³ = 5²·b·c³
greatest common factor: 5bc
(-15a²bc + 20ab²c - 25bc³)÷(5bc) = -3a² + 4ab - 5c²
-15a²bc + 20ab²c - 25bc³ = (-3a² + 4ab - 5c²)(5bc)
Answer:
The 93% confidence interval for the equatorial radius of Jupiter is between 71484 km and 71500 km.
Step-by-step explanation:
Sample size of 30 or larger, so we can use the normal distribution to find the confidence interval.
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 71492 - 8 = 71484 km.
The upper end of the interval is the sample mean added to M. So it is 71492 + 8 = 71500 km.
The 93% confidence interval for the equatorial radius of Jupiter is between 71484 km and 71500 km.
51 ft I believe if you have the same question as I did..
Let x,y,z be those numbers.
x+y+z = 12
Since x,y,z are consecutive: y=x+1, and z = x+2
Let's replace y and z by their new values:
x+x+1+x+2=12
3x+3=12
You subtract 3 from each side to get variables on a side, and numbers on the other:
3x=9
You divide both sides by 3:
x=3
y=x+1 = 3+1 = 4
z=x+2 = 3+2 = 5
So the numbers are 3; 4 and 5.
You can re-check your answers (very important):
3+4+5 = 12
3;4;5 are consecutive numbers.
The answer has been approved.
Hope this Helps! :)
Answer:
Horizontal lines have a slope of 0. Thus, in the slope-intercept equation y = mx + b, m = 0. The equation becomes y = b, where b is the y-coordinate of the y-intercept.
Step-by-step explanation:
