Answer:

Step-by-step explanation:
The whole triangle and small triangle are similar (AA). Therefore the sides are in proportion:

<em>cross multiply</em>
<em>use distributive property</em>

<em>subtract 220 from both sides</em>
<em>divide both sides by 55</em>

Answer:
1.6=v
Step-by-step explanation:
Answer: (29.35, 40.95)
Step-by-step explanation:
Formula to find the confidence interval for population mean :-

, where
= sample mean.
z*= critical z-value
n= sample size.
= Population standard deviation.
As per given , we have


n= 37
Using z-table, the critical z-value for 95% confidence = z* = 1.96
Then, the confidence interval for the population mean will be :





Hence, a 95% confidence interval for the population mean = (29.35, 40.95)
Answer:
-4x + y + 6z
Step-by-step explanation:
Combine like terms (Terms with the same variable):
(2x + 5y - z) + (-6x - 4y + 7z)
Add straight across:
2x - 6x = -4x
5y - 4y = y
-z + 7z = 7z - z = 6z
-4x + y + 6z is your answer.
~
Answer:
80
Step-by-step explanation:
DAB =DAC...........