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3 years ago

The square below has an area of x^2+10x+25 square meters. What expression represents the length of one side of the square?

Mathematics

1 answer:

Andre45 [30]3 years ago

8 0

(x+5) represents each side of a square. Since all sides of a square are equal, we know that all sides are (x+5).

Base x height = (x+5)(x+5)

Which is x^2+10x+25!

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A survey showed that 77% of adults need correction for their eyesight.

If 22 adults are randomly selected, find the probability that no more than more than 11 of them need correction for their eyesight.

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We are supposed to find $P(x\leq 11)$

$P(x\leq 11)=P(x=1)+P(x=2)+P(x=3)+.....+P(x=11)$

Formula : $P(x=r)=^nC_r p^r q^{n-r}$

$P(x\leq 11)=^{22}C_1 (0.77)^1 (0.23)^{22-1}+^{22}C_2 (0.77)^2 (0.23)^{22-2}+^{22}C_3 (0.77)^1 (0.23)^{22-3}+.....+^{22}C_{11} (0.77)^1 (0.23)^{22-11}$

Using calculator

$P(x\leq 11)=0.00512$

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