Answer:
25^2=625
24^2= 576
7^2= 49
as 625 = 576+49 so 7,24,25 form a Pythagorean triplet
similarly
9,40,41 also is a Pythagorean triplet
Answer: 20 x 62 = 1240. X = 1240
Step-by-step explanation: that is the answer al i did was solv ittt
The average change of price of one share per day is 9.15.
Area of an equilateral triangle is
![\frac{ s^{2} \sqrt{3} }{4}](https://tex.z-dn.net/?f=%20%20%5Cfrac%7B%20s%5E%7B2%7D%20%5Csqrt%7B3%7D%20%20%7D%7B4%7D%20)
, where s is length of a side; we have s = 2 + 4 + 2 = 8 mm; then area is
![16 \sqrt{3} ;](https://tex.z-dn.net/?f=16%20%5Csqrt%7B3%7D%20%3B)
;
Area of a semi-circle = (1/2)π
![r^{2}](https://tex.z-dn.net/?f=%20r%5E%7B2%7D%20)
, where r is the radius of circle; r = 4/2 = 2 mm; then area is 2π;
The shaded area is
![16 \sqrt{3} - 2π = 2( [tex]8 \sqrt{3}](https://tex.z-dn.net/?f=16%20%5Csqrt%7B3%7D%20-%202%CF%80%20%3D%202%28%20%5Btex%5D8%20%5Csqrt%7B3%7D%20)
- π );
The probability that more than 5 students will pass their exam is 0.0188416.
<h3>How to find the probability?</h3>
The probability that a student passes their examination = 40% = 0.4
The probability that more than 5 students pass their statistics exam = Probability that 6 students pass their exam + Probability that 7 students pass their exam
The probability that 6 students pass their exam =
![7C_{6} (0.4)^{6} (0.6)^{1}\\=7(0.4)^6(0.6)\\=0.0172032](https://tex.z-dn.net/?f=7C_%7B6%7D%20%280.4%29%5E%7B6%7D%20%280.6%29%5E%7B1%7D%5C%5C%3D7%280.4%29%5E6%280.6%29%5C%5C%3D0.0172032)
The probability that 7 students pass their exam =
![7C_{7} (0.4)^{7} (0.6)^{0}\\=(0.4)^7\\=0.0016384](https://tex.z-dn.net/?f=7C_%7B7%7D%20%280.4%29%5E%7B7%7D%20%280.6%29%5E%7B0%7D%5C%5C%3D%280.4%29%5E7%5C%5C%3D0.0016384)
The probability that more than 5 students pass their statistics exam = 0.0172032 + 0.0016384
= 0.0188416
Therefore, we have found the probability that more than 5 students will pass their exam to be 0.0188416.
Learn more about probability here: brainly.com/question/24756209
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