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2 years ago

10). A boat traveled 27 miles in 2 hours. At

Mathematics

1 answer:

NARA [144]2 years ago

4 0

Answer:

6.75 miles per 0.5 hours.

Step-by-step explanation:

The ratio 27/2 is equal to the ratio of 6.75/0.5. This can be shown by dividing the 2 in the denominator by 4, getting you 0.5, and dividing the numerator, 27, by 4 also, which gets you 6.75. Hope this helps!

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Step-by-step explanation:

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3 years ago

Read 2 more answers

A/20 + 14/15 = 9/15 <br><br> Can i get some help?

KiRa [710]

Method 1:

$\dfrac{a}{20}+\dfrac{14}{15}=\dfrac{9}{15}\ \ \ \ |multiply\ both\ sides\ by\ 60\\\\60\cdot\dfrac{a}{20}+60\cdot\dfrac{14}{15}=60\cdot\dfrac{9}{15}\\\\3a+4\cdot14=4\cdot9\\\\3a+56=36\ \ \ \ |subtract\ 56\ from\ both\ sides\\\\3a=-20\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{a=-\frac{20}{3}\to a=-6\frac{2}{3}}$

Method 2.

$\dfrac{a}{20}+\dfrac{14}{15}=\dfrac{9}{15}\ \ \ \ |subtract\ \dfrac{14}{15}\ form\ both\ sides\\\\\dfrac{a}{20}=-\dfrac{5}{15}\\\\\dfrac{a}{20}=-\dfrac{1}{3}\ \ \ \ |multiply\ both\ sides\ by\ 20\\\\\boxed{a=-\dfrac{20}{3}\to a=-6\frac{2}{3}}$

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3 years ago

PLEASE HELP!!!! 25 POINTS!!!!

Andrei [34K]

Answer:

0.9562

Step-by-step explanation:

Binomial probability is mathematically expressed as:

$P(X=x)={n\choose x}p^x(1-p)^{n-x}$

Given that p=0.18, n=5 , is calculated as:

$P(X\leq 2)=P(0)+P(1)+P(2)\\\\={5\choose 0}0.18^0(1-0.18)^5+{5\choose 1}0.18^1(1-0.18)^4+{5\choose 2}0.18^2(1-0.18)^3\\\\=0.3707+0.4069+0.1786\\\\=0.9562$

Hence, the probability of no more than 2 successes in 5 trials is 0.9562

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3 years ago

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Leona [35]

Answer:

45:36

Step-by-step explanation:

Please correct me if not correct.

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3 years ago