Answer:
B
Step-by-step explanation:
36/12=3 feet
Answer:
C.
Step-by-step explanation:
It is parallel? This is what I would put
The answer is 80 ft.
Based on the diagram we know that the tree triangle and the building triangle are similar triangles where the lengths of each are proportional to the other.
The lengths of the triangle the tree makes are half of the lengths of the building triangle. So this problem can be solved using ratio and proportion:

to solve for x, all you need to do is cross multiply then divide.
The answer is then 80ft.
Another way to solve this is just by using logic. If the lengths of the tree triangle is half of the building, simply divide the lengths of the building triangle by two.
160ft/2 = 80ft.
Answer:
Step-by-step explanation:
The hypothesis is written as follows
For the null hypothesis,
µd ≤ 10
For the alternative hypothesis,
µ > 10
This is a right tailed test
Since no population standard deviation is given, the distribution is a student's t.
Since n = 97
Degrees of freedom, df = n - 1 = 97 - 1 = 96
t = (x - µ)/(s/√n)
Where
x = sample mean = 8.9
µ = population mean = 10
s = samples standard deviation = 3.6
t = (8.9 - 10)/(3.6/√97) = - 3
We would determine the p value using the t test calculator. It becomes
p = 0.00172
Since alpha, 0.01 > than the p value, 0.00172, then we would reject the null hypothesis. Therefore, At a 1% level of significance, there is enough evidence that the data do not support the vendor’s claim.
Answer:
see below
Step-by-step explanation:
The third table shows a relationship of y=2x.
_____
Essentially, you have to see whether the value of y/x is constant for all the values in a table. If it is not, then the relation is not proportional.
in the first table, -4/-2 ≠ -3/-1
in the second table, -4/-2 ≠ 3/1
in the fourth table, -4/-2 ≠ 6/2