Help anyone please!!!!!!

Mathematics

1 answer:

Alla [95]3 years ago

5 0

Answer:

Step-by-step explanation:

The quotient, found using long division, is x + 2, and the remainder is 4.

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An airplane can travel 365mph in still air. If it travels 2716 miles with the wind in the same length of time it travels 2394 mi

Anestetic [448]

Answer: the speed of the wind is 365 mph

Step-by-step explanation:

Let x represent the speed of the wind.

An airplane can travel 365mph in still air. If it travels 2716 miles with the wind, it means that its total speed while flying with the wind is (365 + x) mph.

Time = distance/speed

Time spent in flying with the wind is

2716/(365 + x)

In the same length of time, it travels 2394 miles against the wind. it means that its total speed while flying against the wind is (365 - x) mph.

Time spent in flying against the wind is

2394/(365 - x)

Since the time is the same, it means that

2716/(365 + x) = 2394/(365 - x)

Cross multiplying, it becomes

2716(365 - x) = 2394(365 + x)

991340 - 2716x = 873810 + 2394x

2394x + 2716x = 991340 - 873810

5110x = 1865150

x = 1865150/5110

x = 365 mph

5 0

3 years ago

Amy has some money in her checking account. If she writes a check for $42.50, her checking account will be overdrawn by $23.75.W

Bingel [31]

You have to subtract 23.75 from 42.50 to get your answer of 18.75

3 0

3 years ago

The Environmental Protection Agency (EPA) has contracted with your company for equipment to monitor water quality for several la

max2010maxim [7]

Answer:

36.58% probability that one of the devices fail

Step-by-step explanation:

For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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