In a 30°-60°-90° triangle, the longer leg is √3 times the shorter leg. In your triangle, ...
the shorter leg is 10.
Answer:
334 in^2.
Step-by-step explanation:
The surface area = area of the top prism + area of the bottom - 2 * area of the base of the top smaller prism
= 2(5*3 + 5*3 + 3*3) + 2(9*7 + 9*5 + 7*5) - 2* 3*5
= 2* 39 + 2*143 - 30
= 334
After discount, the price of the item is $24.00
(5,-3) (-1,6)
y=mx+b
calculate m:
(-3-6)/(5-(-1)
=-9/6=-1.5
y=-1.5x+b
insert the (5, -3) point to calculate b:
-3=-1.5*5+b
-3=-7.5+b
4.5=b
b=the y intercept, so the line intercepts x=0 at y=4.5
Answer:
For this case we want to test if life expectancy in country 1 is more than 10 years lower than in country 2, (alternatibe hypothesis), so then the system of hypothesis are:
Null hypothesis: 
Alternative hypothesis:
Or equivalently:
Null hypothesis: 
Alternative hypothesis:
Step-by-step explanation:
Previous concepts
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".
Solution to the problem
For this case we want to test if life expectancy in country 1 is more than 10 years lower than in country 2, (alternatibe hypothesis), so then the system of hypothesis are:
Null hypothesis: 
Alternative hypothesis:
Or equivalently:
Null hypothesis: 
Alternative hypothesis: