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expeople1 [14]
3 years ago
9

A scientist conducted an experiment. Due to chemical reaction, the temperature of a compound rose 1/10 degree every 1/4 hour for

a limited time. What was the rate , in degrees per hour that the temperature of the compound rose.
Mathematics
1 answer:
klio [65]3 years ago
5 0

Answer:

The rate is \frac{2}{5} degree per hour.

Step-by-step explanation:

Given : A scientist conducted an experiment. Due to chemical reaction, the temperature of a compound rose \frac{1}{10} degree every \frac{1}{4} hour for a limited time.

To find : What was the rate, in degrees per hour that the temperature of the compound rose ?

Solution :

In every \frac{1}{4} hour the temperature of a compound rose \frac{1}{10} degree

To get  the rate, in degrees per hour,

In every 1 hour the temperature of a compound rose is

r=\dfrac{\frac{1}{10}}{\frac{1}{4}} degree

r=\dfrac{4}{10} degree/hr

r=\dfrac{2}{5} degree/hr

Therefore, the rate is \frac{2}{5} degree per hour.

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On Texas Avenue between University Drive and George Bush Drive, accidents occur according to a Poisson process at a rate of thre
Zarrin [17]

Answer:

(a) The probability is 0.6514

(b) The probability is 0.7769

Step-by-step explanation:

If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:

P(x)=\frac{e^{-at}*(at)^{x} }{x!}

Where a is the mean number of accidents per day and t is the number of days.

So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.

Then, the probability that a given day has no accidents is calculated as:

P(x)=\frac{e^{-3/7}*(3/7)^{x}}{x!}

P(0)=\frac{e^{-3/7}*(3/7)^{0}}{0!}=0.6514

On the other hand the probability that February has at least one accident with a personal injury is calculated as:

P(x≥1)=1 - P(0)

Where P(0) is calculated as:

P(x)=\frac{e^{-at}*(at)^{x} }{x!}

Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:

P(x)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{x}}{x!}

P(0)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{0}}{0!}=0.2231

Finally, P(x≥1) is:

P(x≥1) = 1 - 0.2231 = 0.7769

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3 years ago
If u evenly divide 3/4 of a pizza among 3 people. How much will each person get?
Dafna11 [192]
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Answer:

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Step-by-step explanation:

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d/4=8 so multply both sides by 4  to isolate the variable, 4(d/4)=d =d and 8x4=32, so d=32

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