Answer:
Step-by-step explanation:
a) To find the length of diagonal XT, we can use the distance formula to get 
Since this is a rectangle, XT=YW, meaning YW=10 as well.
b) The area of a rectangle is given by length times width. The length is |-3-5|=8, and the width is |-2-4|=6. So the area is (8)(6)=48.
c) The perimeter is just 2(8+6)=28.
Answer:
d. H0:
vs.
Step-by-step explanation:
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
On this case the Management try to determine if there is a difference in the average investment/quad between using electricity and using gas. So this needs to be on the alternative hypothesis. And the complement of the alternative hypothesis would be on the null hypothesis.
Null hypothesis :
Alternative hypothesis:
Or equivalently:
Null hypothesis :
Alternative hypothesis:
Other important thing is that on the alternative hypothesis we never can have the symbol equal.
So on this case the best options is:
d. H0:
vs.
So the formula for a volume of a sphere is 4/3 times pi times the radius cubed.
step one: 4/3 times 3.14 = 4.18666666667
Step two: then you cube 8.5 and get 592.45
the final answer is 2,480.3906
Answer:triangles 20 12 28 and15 9 21
Step-by-step explanation:
Answer:
Step-by-step explanation:
slope of -2 means the slope is -2/1
from (3, - 8) you can find the y intercept by going backwords until x = 0
(2,-6)
(1,-4)
(0,-2)
so the y intercept is -2
y = -2x - 2