Answer:
The length of DF must be between 21 and 53.
Step-by-step explanation:
In a triangle, the length of two sides added together must exceed the length of the 3rd side. So, since EF is the shortest of the two givens, we know that EF + DF must be greater than DE. So we can plug in these numbers to find the minimum.
EF + DF > DE
16 + DF > 37
DF > 21
Now, for the upper maximum, we know that the two given lengths must be greater than the length of DF. So again, we can solve for the maximum using the amounts.
DE + EF > DF
37 + 16 > DF
53 > DF
With these two in mind, we know that DF must be between 21 and 53
Answer:
For this case we want to test if in a certain city in the U.S. are different from the proportion of the general population of young adults in the U.S 0.16 (alternative hypothesis) and the best system of hypothesis are:
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 in a certain city in the U.S. are different from the proportion of the general population of young adults in the U.S 0.16 (alternative hypothesis) and the best system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The diagonals of a rectangle are congruent and bisect each other.
MW = HW = (1/2)(MT)
MW = HW = (1/2)(50)
MW = HW = 25
3x + y = 25
7x - 6y = 25
Multiply the first equation by 6.
Write the second equation below it.
Add the equations.
18x + 6y = 150
+ 7x - 6y = 25
--------------------------
25x = 175
x = 7
3x + y = 25
3(7) + y = 25
21 + y = 25
y = 4
Answer: x = 7; y = 4
Answer: 30 feet
Step-by-step explanation:
10 / 2.5 = 4
7.5 * 4 = 30
Answer:
Length = Width * 3
Width = 2 ft
Length = 2 ft * 3 = 6 ft
Perimeter = (L * 2) + (W * 2)
P = 16 ft
Area = L * W = 12 square feet