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stiv31 [10]
3 years ago
11

Amanda and Alexis live 4 miles apart. They decide to start walking toward each other’s houses at the same time. Amanda walks at

a rate of 3.5 miles per hour and Alexis walks at a rate of 4 miles per hour. How long will it take for them to meet? Round to the nearest hundredth of an hour. [Remember: D = (r)(t)]
Mathematics
2 answers:
seraphim [82]3 years ago
6 0

Answer: about 15 min

Step-by-step explanation:

Ronch [10]3 years ago
4 0

Answer:

0.53 hours

Step-by-step explanation:

D = (r)(t), Where

‘D’ is the distance covered

‘r’ is the approach rate

‘t’ is the total time spent

Distance covered, ‘D’ = 4 miles

Approach rate, “r” = 3.5mph + 4mph

r = 7.5mph.

t is unknown

Solving for t,

D = (r)(t)

4 = 7.5t

t = 4/7.5

t = 0.53 hours (to the nearest hundredth)

Therefore, it will take Amanda and Alexis 0.53 hours to meet

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"A study conducted at a certain college shows that 56% of the school's graduates find a job in their chosen field within a year
KiRa [710]

Answer:

99.27% probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

Step-by-step explanation:

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Binomial probability distribution

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P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

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This means that p = 0.56

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