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2 years ago

HELP PLEASE I WILL GIVE BRAINLIEST IF I CAN

Mathematics

1 answer:

mamaluj [8]2 years ago

6 0

Answer:

$L$ ≤ $29$

Step-by-step explanation:

Given

Perimeter = 57 (at most)

Required

Determine the length of each side

The term at most in the values of the perimeter shows that the expression is an inequality and it means that perimeter can't exceed that value;

Let L represents the length of each sides;

Perimeter $=L+L+L$

So,

$L+L+L$ ≤ $57$

$3L$ ≤ $57$

Divide both sides by 3

$3L$ ÷ $3$ ≤ $57$ ÷ $3$

$L$ ≤ $29$

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Answer:

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Step-by-step explanation:

Suppose you take a 15 question True or False quiz and you guess on every problem. You only get 3 correct. Then

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$P(\text{3 or fewer})\\=P(0)+P(1)+P(2)+P(3)\\ \\=C^{15}_0p^0q^{15-0}+C^{15}_1p^1q^{15-1}+C^{15}_2p^2q^{15-2}+C^{15}_3p^0q^{15-3}\\ \\=1\cdot q^{15}+15pq^{14}+105p^2q^{13}+455p^3q^{12}\\ \\=(0.8)^{15}+15\cdot 0.2\cdot (0.8)^{14}+105\cdot (0.2)^2\cdot (0.8)^{13}+455\cdot (0.2)^3\cdot (0.8)^{13}\\ \\\approx 0.648$

Using the criteria that a number 3 is unusually low if P(3 or fewer) ≤ 0.05, we can state that 3 is not an unusually low number of correct guesses.

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3 years ago

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