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4 years ago

Please help me find the answer to #12

Mathematics

1 answer:

erastovalidia [21]4 years ago

7 0

You know that it could grow to 6 inches in a week which is 7 days. Now, 24 days would be 3 weeks and 3 days. Multiply 6 by 21 which is the equivalent of three weeks. Then divide the number 6 by seven to know how much it could grow in a day. then multiply the quotient by 3 (cause that's the number of days left)

6*21 = 126
6/7 = <span>2.57

Add both of the answers.

=128.57

(hope this is right :)) )

</span>

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4 years ago

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$P(X\leq4)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)\\\\=^{15}C_{0}\ (0.30)^0(0.70)^{15}+^{15}C_{1}\ (0.30)^1(0.70)^{14}+^{15}C_{2}\ (0.30)^2(0.70)^{13}+^{15}C_{3}\ (0.30)^3(0.70)^{12}+^{15}C_{4}\ (0.30)^4(0.70)^{11}\\\\=(0.30)^0(0.70)^{15}+15(0.30)^1(0.70)^{14}+105(0.30)^2(0.70)^{13}+455(0.30)^3(0.70)^{12}+1365(0.30)^4(0.70)^{11}\\\\=0.515491059227\approx0.5$

Hence, the probability rounded to the nearest tenth that fewer than 4 of them will say that football is their favorite sport =0.5

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