Simplify -5(4y-7x)+8(3x-2y)
1 answer:
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Since, a regular hexagon has an area of 750.8 square cm and The side length is 17 cm.
We have to find the apothem of the regular hexagon.
The formula for determining the apothem of regular hexagon is , where 's' is any side length of regular hexagon and 'n' is the number of sides of regular hexagon.
So, apothem =
=
=
= 14.78 units
Therefore, the measure of apothem of the regular hexagon is 14.7 units.
Option B is the correct answer.
The probability that the aircraft is overloaded is 97.98%, which means the pilot should take the action.
In a Normal distribution with mean ц and standard deviation σ, the z-score of a measure x is given by:
Z = X-ц / σ
· It measures how many standard deviations the measure is from the mean.
· After finding Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
· By the Central Limit Theorem, the sampling distribution of sample means of the size n has standard deviation σ
σ = σ /
σ is standard deviation
n is the sample size.
Given that the mean and the standard deviation of the population is 176.1 lb and 35.4 respectively.
⇒ ц = 176.1 and σ = 35.4
For a sample of 43 passengers, we have
n = 43
σ =
σ = 5.398
Z = X-ц / σ
Z =
Z = -2.05 has p- value of 0.9798
The probability that the aircraft is loaded is
1 - p-value of Z
1 - 0.0202 = 0.9798
The probability that the aircraft is overloaded is 97.98%
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