9514 1404 393
Answer:
Y = 6.5°
Step-by-step explanation:
We know that tan(x) = cot(90°-x), so we could rewrite the equation as ...
cot(90 -(3Y+32)) = cot(Y+32)
58 -3Y = Y +32
26 = 4Y
6.5 = Y
One solution is Y = 6.5°.
_____
Additional solutions are found at integral multiples of 45° added to this value.
Answer:
Chebyshev's theorem guarantees that we will find at least approximately 89 % of the choir members between 46 and 70 inches.
Step-by-step explanation:
Chebyshev's Theorem states that, in a sample:
75% of the measures are within 2 standard deviations of the mean
89% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 58
Standard deviation = 4
Between what two heights does Chebyshev's Theorem guarantee that we will find at least approximately 89 % of the choir members?
Within 3 standard deviations the mean, so from 3 standard deviations below the mean to 3 standard deviations above the mean.
3 standard deviations below the mean
58 - 3*4 = 46
3 standard deviations above the mean
58 + 3*4 = 70
Chebyshev's theorem guarantees that we will find at least approximately 89 % of the choir members between 46 and 70 inches.
It's looking for square feet so it wasn't the area. The area is o
Answer:
140
Step-by-step explanation:
- 143,622 bacteria present on day 15
- the bacteria doubles twice a day
that means each day backwards, the bacteria is four times less the day before
therefore:
- on day 14, the number of bacteria is 143,622 / 4
which is 35,905.5
and so on!
so:
- day 13 = 8,976.375
- day 12 = 2,244.09375
- day 11 = 561.0234375
- day 10 = 140.255859375
this rounded to the nearest whole number is
= 140 bacteria
(you can't have a part of a bacteria!)
hope this helps! :)
Answer:
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Step-by-step explanation:
