Answer:
<em>angle Y is 29 degrees</em>
<em>angle X is 120 degrees</em>
Step-by-step explanation:
Well, if the triangle is an equilateral, then all the angles are equal to
60 degrees
that means the the angle at the top point is 60+31 = 91 degrees
the right point is 60 degrees
every triangle has 180 degrees total
180 - (91+60) = 29 degrees
NOW FORGET ABOUT THE EQUILATERAL FOR A BIT
180 = 31+x+29
simplify
180 = 60+x
subtract 60 from both sides
120 = x
30% of 50,400 = 30240.
Therefore the percentage loss is 30% over the course of 3 years.
Answer:
538 books should be tested.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
How many books should be tested to estimate the average force required to break the binding to within 0.08 lb with 99% confidence?
n books should be tested.
n is found when 
We have that 
Rounding up
538 books should be tested.
Answer:
239 ft².
Step-by-step explanation:
Let P represent the price for tiling.
Let S represent the size of the room.
From the question,
Price (P) varies directly as the size (S) i.e
P & S
P = KS
Where K is the constant of proportionality.
Next, we shall determine the value of K as follow
Price (P) = $ 4224
Size (S) = 264 ft²
Constant of proportionality (K) =?
P = KS
4224 = K × 264
Divide both side by 264
K = 4224/264
K = 16
Finally, we shall determine the size of the kitchen that will cost $ 3824 for tiling.
This is illustrated below:
Price (P) = $ 3824
Constant of proportionality (K) = 16
Size (S) =?
P = KS
3824 = 16 × S
Divide both side by 16
S = 3824/16
S = 239 ft²
Therefore, the size of the kitchen is 239 ft².
