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3 years ago

I need some help with this.Can someone help me please

Mathematics

2 answers:

NARA [144]3 years ago

8 0

1/4 of an hour is 15 minutes. So all you have to do is divide 5.5 gallons by 15 minutes to get your per minute answer. That comes out to about 3.67.

ElenaW [278]3 years ago

6 0

The amount leaked out of the barrel in a minute would be 5 1/2 gallons divided by 15 to get per minute.
this comes out as 0.367th of a gallon per minute

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A circular ice skating rink has a diameter of 65 feet. What is the circumference of the rink, rounded to the nearest tenth.

Nezavi [6.7K]

The meaning of circumference is to find the distance around a circle or in other words the perimeter of the circle. The circumference of a circle can be calculate by using the formula C=2πr or C=πd.

In this exercise is given that a circular ice skating rink has a diameter of 65 feet, and it is asked to find its circumference. In <span>this problem the diameter of the circle is given, so in this case the formula C=</span><span>πd would be used, where d represents the diameter.

C=</span>πd
C=π(65 ft)
C=204.2 feet

The circumference of the circular ice skating rink is 204.2 feet.

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3 years ago

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The Johnsons own a home whose market value is $93,000. Their municipality taxes at 80% and the rate is 65 mills or $65 per thous

Serjik [45]

Answer:

6760

Step-by-step explanation:

80% x 93000 = 74400

74.4 x 65 = 6760

5 0

3 years ago

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The number of people arriving for treatment at an emergency room can be modeled by a Poisson Distribution with a rate parameter

AlekseyPX

Answer:

a) 0.052 = 5.2% probability that exactly three arrivals occur during a particular hour

b) 0.971 = 97.1% probability that at least three people arrive during a particular hour

c) 5.25 people are expected to arrive during a 45-min period

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Poisson Distribution with a rate parameter of seven per hour.

This means that $\mu = 7$

(a) What is the probability that exactly three arrivals occur during a particular hour?

This is P(X = 3).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 3) = \frac{e^{-7}*7^{3}}{(3)!} = 0.052$

0.052 = 5.2% probability that exactly three arrivals occur during a particular hour.

(b) What is the probability that at least three people arrive during a particular hour? (Round your answer to three decimal places.)

Either less than three people arrive, or at least three does. The sum of the probabilities of these events is 1. So

$P(X < 3) + P(X \geq 3) = 1$

We want $P(X \geq 3)$ , which is

$P(X \geq 3) = 1 - P(X < 3)$

In which

$P(X \geq 3) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-7}*7^{0}}{(0)!} = 0.001$

$P(X = 1) = \frac{e^{-7}*7^{1}}{(1)!} = 0.006$

$P(X = 2) = \frac{e^{-7}*7^{2}}{(2)!} = 0.022$

$P(X \geq 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.001 + 0.006 + 0.022 + 0.029$

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.029 = 0.971$

0.971 = 97.1% probability that at least three people arrive during a particular hour

(c) How many people do you expect to arrive during a 45-min period?

During an hour(60 minutes), 7 people are expected to arrive. So, using proportions:

$\frac{45*7}{60} = \frac{3*7}{4} = \frac{21}{4} = 5.25$

5.25 people are expected to arrive during a 45-min period

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3 years ago

Fist answer gets brain

Misha Larkins [42]

I believe the answer would be A.

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What is 2,034,627 rounded to the nearest ten thousand

MatroZZZ [7]

Answer:

rounded to the nearest ten thousand

2,034,627

2,030,000

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3 years ago