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3 years ago

Calculate the surface area of the prism. Measurements are in centimetres

Mathematics

1 answer:

Nata [24]3 years ago

6 0

Answer:

2804 cm²

Step-by-step explanation:

Total area comprises of 6 faces: 2 trapezoids and 4 rectangles

Trapezoid = 1/2*(14+32)*24 = 552 cm² each
Bottom = 17*32 = 544 cm²
Top = 14*17 = 238 cm²
Right side = 17*24 = 408 cm²
Left side = 17*√((24² + (32-14)²) = 17* √900 = 17*30 = 510 cm²

Total area:

552*2 + 544 + 238 + 408 + 510 = 2804 cm²

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$P(X=7)=^{20}C_7(0.25)^7(1-0.25)^{20-7}$

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$=\dfrac{20\times19\times18\times17\times16\times15\times14\times13!}{7!13!}(0.25)^7(0.75)^{13}\\\\=77520(0.00006103515625)(0.0237572640181)\\\\=0.112406195476\approx0.112$

Hence, the probability that you will draw a heart seven times = 0.112

Thus , the correct answer is C) 0.112 .

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