Answer:
Explanation:
The area of the <em>octagon</em> may be calculated as the difference of the area of the original square and the area of the four corners cut off.
1) <u>Area of the square</u>.
The original square's side length is the same wide of the formed octagon: 10 cm.
So, the area of such square is: (10 cm)² = 100 cm².
2) <u>Area of the four corners cut off</u>.
Since, the corners were cut off two centimeters from each corner, the form of each piece is an isosceles right triangle with legs of 2 cm.
The area of each right triangle is half the product of the legs (because one leg is the base and the other leg is the height of the triangle).
Then, area of one right triangle: (1/2) × 2cm × 2cm = 2 cm².
Since, they are four pieces, the total cut off area is: 4 × 2 cm² = 8 cm².
3) <u>Area of the octagon</u>:
- Area of the square - area of the cut off triangles = 100 cm² - 8cm² = 92 cm².
And that is the answer: 92 cm².
Answer:

And using the probability mass function we can find the individual probabilities:


And replacing we got:
![P(X\geq 2)=1 -[0.2044 +0.3590]= 0.4366](https://tex.z-dn.net/?f=%20P%28X%5Cgeq%202%29%3D1%20-%5B0.2044%20%2B0.3590%5D%3D%200.4366)
Then the probability that at least 2 disapprove of daily pot smoking is 0.4366
Step-by-step explanation:
Let X the random variable of interest "number of seniors who disapprove of daily smoking ", on this case we now that:

The probability mass function for the Binomial distribution is given as:

Where (nCx) means combinatory and it's given by this formula:

And we want to find this probability:

And using the probability mass function we can find the individual probabilities:


And replacing we got:
![P(X\geq 2)=1 -[0.2044 +0.3590]= 0.4366](https://tex.z-dn.net/?f=%20P%28X%5Cgeq%202%29%3D1%20-%5B0.2044%20%2B0.3590%5D%3D%200.4366)
Then the probability that at least 2 disapprove of daily pot smoking is 0.4366
Answer: x = -2
Step-by-step explanation:
5(3y -5) -4y = -14
15y - 25 - 4y = -14
11y - 25 = -14
11y = 11
y = 1
5x - 4(1) = -14
5x - 4 = -14
5x = -10
x = -2
Answer:
its correct
Step-by-step explanation:
The answer is 18
y to the 5th power.
Hope this helps :DD