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Arisa [49]
2 years ago
5

the mean average distance that jack runs in his last 10 runs is 5.7 miles. work out the distance that he would need to make this

exactly 6 miles
Mathematics
1 answer:
ziro4ka [17]2 years ago
3 0

Answer:

9 miles

Step-by-step explanation:

mean is calculated as

mean = \frac{sum}{count} , then

\frac{sum}{10} = 5.7 ( multiply both sides by 10 )

sum = 57

let x be the distance he needs to cover so mean is 6 , that is

\frac{sum+x}{11} = 6 ( multiply both sides by 11 )

sum + x = 66 , that is

57 + x = 66 ( subtract 57 from both sides )

x = 9

That is he would have to run 9 miles

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Remember that to multiply monomials we need to use the laws of exponents; in this case, the law for multiplying powers with the same base. The rule says that, when you multiply powers of the same base, you just need to add the exponents: (a^m)(a^n)=a^{m+n}, (x^2)(x^4)=x^{2+4}=x^6. Also, is worth pointing out that the exponent of a variable with no exponent is 1: x=x^1.

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