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3 years ago

Explain what operation can be used to solve the equation 3.5n=10.5. What is the value of n

Mathematics

1 answer:

coldgirl [10]3 years ago

4 0

Answer:

see below

Step-by-step explanation:

3.5n=10.5

Divide each side by 3.5 to isolate n

3.5n /3.5 = 10.5/3.5

n =3

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If point A is between B and C then BA + AC = BC. always sometimes never

koban [17]

Always

Anytime point A is on line BC, AB+BC=BC

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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

5 0

3 years ago

Base your answer to the following question on the diagram shown and the given information

erik [133]

Answer:

29°

Step-by-step explanation:

∠1 ≅ ∠8

3x+25 = 4x -17

42 = x . . . . . . . . . . add 17-3x

Now, we can find the measure of ∠1:

m∠1 = 3(42) +25 = 151

Angle 2 is the supplement to this, so has measure ...

m∠2 = 180° -151° = 29°

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3 years ago

Casey has a loan for $400 at a rate of 13% annually. If the interest is not compounded, how much interest will he pay in 3 years

Drupady [299]

$400 * 0.13 * 3 = $156

answer is <span>C) $156.00 </span>

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3 years ago

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What the closest volume of a cylinder with a height of 10 and a circumference of 8

jenyasd209 [6]

In order to calculate the volume of a cylinder, we can use the following formula:

$V=\pi r^2h$

Where r is the base radius and h is the height.

If the circumference is 8, we have:

$\begin{gathered} C=2\pi r \\ 8=2\pi r \\ r=\frac{4}{\pi} \end{gathered}$

Now, calculating the volume, we have:

$\begin{gathered} V=\pi(\frac{4}{\pi})^2\cdot10 \\ V=\frac{160}{\pi} \\ V=50.93 \end{gathered}$

So the correct option is the second one.

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1 year ago