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3 years ago

Find the approximate side length of a square game board with an area of 103

Mathematics

2 answers:

Rashid [163]3 years ago

7 0

Hmmm,By the looks of it,It is 10.15. :3

andrey2020 [161]3 years ago

4 0

area of a square is S^2

103 = S^2

s = sqrt(103) = 10.14889

so length of side is approximately 10.15

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What rule describes the translation 5 units left and 10 units up?

Whitepunk [10]

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3 years ago

A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 20 times, and the man is asked to predict

dlinn [17]

Answer:

$P(x\geq 17)=0.00128$

Step-by-step explanation:

The probability that the man gets x out of 20 correct follows a Binomial distribution, so the probability is calculated as:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}$

Where n is the number of identical experiments and p is the probability of success. In this case n is 20.

Additionally, if he has no ESP the probability that he predict correctly is 0.5, because he is only guessing.

Then, the probability that he gets x out of 20 correct is equal to:

$P(x)=\frac{20!}{x!(20-x)!}*0.5^{x}*(1-0.5)^{20-x}$

Therefore the probability that he would have done at least 17 out of 20 well if he had no ESP is:

$P(x\geq 17)=P(17)+P(18)+P(19)+P(20)\\$

Where:

$P(17)=\frac{20!}{17!(20-17)!}*0.5^{17}*(1-0.5)^{20-17}=0.00108719\\P(18)=\frac{20!}{18!(20-18)!}*0.5^{18}*(1-0.5)^{20-18}=0.00018119\\P(19)=\frac{20!}{19!(20-19)!}*0.5^{19}*(1-0.5)^{20-19}=0.00001907\\P(20)=\frac{20!}{20!(20-20)!}*0.5^{20}*(1-0.5)^{20-20}=0.00000095$

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$P(x\geq 17)=0.00108719+0.00018119+0.00001907+0.00000095\\P(x\geq 17)=0.00128$

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3 years ago

Evaluate the expression if a = 2, b = −3, c = −4, h = 6, y = 4, and z = −1.

Dima020 [189]

The required values are 11 and 19

Given the expression;

15−||2−3a||

If a = 2

Substitute the given value into the expression

If the moduli expression is positive

15−(2−3a)

= 15 - (2-3(2))

= 15 - (2-6)

= 15 - (-4)

= 15 + 4

= 19

If the moduli expression is negative

= 15 - -(2-3(2))

= 15 - -(2-6)

= 15 - -(-4)

= 15 - +4

= 15 - 4

= 11

Hence the required values are 11 and 19

Learn more here: brainly.com/question/8242423

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3 years ago

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Eva8 [605]

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