A forest covers 57,000 acres. A survey finds that 0.4% of the forest is old-growth trees. How many acres of old-growth trees
1 answer:
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Answer:
No, -1/3 is not a solution
Step-by-step explanation:
See if it is a solution by plugging in -1/3 as v and seeing if the equation is correct:
9v - 2 = 3v
9(-1/3) - 2 = 3(-1/3)
-3 - 2 = -1
-5 = -1
-5 -1
So, since the equation is incorrect, -1/3 is not a solution.
Each petal of the region 
is the intersection of two circles, both of diameter 10. Each petal in turn is twice the area of a circular segment bounded by a chord of length 
, which implies the segment is subtended by an angle of 
. This means the area of the segment is
This means the area of one petal is
, and the area of is four times this, or 
.
Meanwhile, the area of
is simply the area of the square minus the area of , or 
.
So
(provided these regions are indeed disjoint; it's hard to tell from the picture)
This means the area of one petal is
Meanwhile, the area of
So
Answer:
a. 0.1576<p<0.2310
b. The two restaurants likely have similar order rates which are inaccurate.
Step-by-step explanation:
a. We first calculate the proportion, :
-We use the z-value alongside the proportion to calculate the margin of error:
The confidence interval at 90% is then calculated as:
Hence, the confidence interval at 90% is [0.1576,0.2310]
b. From a above, the calculated confidence interval is 0.1576<p<0.2310
-We compare the calculated CI to the stated CI of 0.147<p<0.206
-The two confidence intervals overlap each other and have the same value for 0.1576<p<0.206
-Hence, we conclude that the two restaurants likely have similar order rates which are inaccurate.