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Masja [62]
2 years ago
14

Please help me find the area of the shape

Mathematics
1 answer:
taurus [48]2 years ago
3 0

Answer: the area of the octagon is 52.8 inches.

Step-by-step explanation:

1. find the equation to find the area of the given triangle:

                                   (1/2 * base * height)

2. plug in give numbers into equation: (1/2 * 3.3 * 4) = 6.6

3. since the base of the triangle fits into one of the sides of the octagon, we can assume the triangle can be fit perfectly for each of the sides, completing the octagon. for this, multiply the area of the triangle by eight (amount of sides in an octagon). 6.6 * 8 = <u>52.8</u>

hope this helped! ♡ <u>-moni</u>

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The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes
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(a) Average time to get to school
Average time (minutes) = Summation of the two means = mean time to walk to bus stop + mean time for the bust to get to school = 8+20 = 28 minutes

(b) Standard deviation of the whole trip to school
Standard deviation for the whole trip = Sqrt (Summation of variances)

Variance = Standard deviation ^2
Therefore,
Standard deviation for the whole trip = Sqrt (2^2+4^2) = Sqrt (20) = 4.47 minutes

(c) Probability that it will take more than 30 minutes to get to school
P(x>30) = 1-P(x=30)
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With actual average time to walk to the bus stop being 10 minutes;

(d) Average time to get to school
Actual average time to get to school = 10+20 = 30 minutes

(e) Standard deviation to get to school
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(f) Probability that it will take more than 30 minutes to get to school
Z(x=30) = (mean - 30)/Sd = (30-30)/4.47 = 0/4.47 = 0

From Z table, P(x=30) = 0.5
And therefore, P(x>30) = 1- P(X=30) = 1- P(Z=0.0) = 1-0.5 = 0.5 = 50%
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