Hello!
To find the circumference, you multiply the diameter by pi. We will do so below.
2.5≈7.85
a. 7.85 feet
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To find how many rotations it will take to travel a mile, we will need to divide our mile by our circumference.
5,280/7.85≈672.61
b) 672.61
I hope this helps!
Answer:
C. Two-tailed paired t-test.
Step-by-step explanation:
Since Dr. Hernandez takes 30 samples from a contaminated lake and 30 fish from a pristine lake, he should use a two-tailed t-test.
Paired t-tests describe tests used to compare the means of two samples when each observation in one sample can be paired with an observation in the other sample. Dr. Hernandez can certainly pair the samples and observe the differences, so the answer is C. Two-tailed paired t-test.
Hope this helps!
In order to find the length of ?? (let's call this distance x), let's first find the value of Angle A.
The cosin of Angle A is Adjacent / Hypotenuse, or 40 / 50. Using this Info:
cos (A) = 40/50
cos (A) = .8
With this crucial piece of info, we can find the Total length of A-D (Point D being the point above C), by finding its relation to side AC (length of 50 + 70 =120 ft)
Cos (A) = adjacent / hypotenuse
Cos (A) = AD / (120) We know that cos (A) = .8
.8 = AD / (120) Multiply both sides by 120
96 = AD
We're almost there! Remember that we're trying the find x (?? in the diagram).
x + 40 = 96
x = 56 ft
If George is 60, Jessica is 3/5 or 0.6, so Jessica is (60*0.6=36). Luke is 4/15, so he is 16.
Then we have results.
Jessica=36
Luke=16
Jessica is 20 years older than Luke.