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3 years ago

Find the distance between the points (–7,–9) and (–2,4).

Mathematics

1 answer:

Kazeer [188]3 years ago

3 0

Answer:

13.93

Step-by-step explanation:

see attached for explanation

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Solve for x.

statuscvo [17]

Answer:

The Answer is: x = 1.444 with repeating 4.

Step-by-step explanation:

212x - 34(2x + 5) = 38

212x - 68x - 170 = 38

212x - 68x = 38 + 170

144x = 208

x = 208/144 = 52/35 or 1.444

Proof:

212(1.444) - 34(2(1.444) + 5) = 38

306.128 - 34(7.888) = 38

306.128 - 268.192 = 37.936 or approximately 38

Hope this helps! Have an Awesome Day!! :-)

7 0

3 years ago

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

OverLord2011 [107]

Answer:

a) P(x=3)=0.089

b) P(x≥3)=0.938

c) 1.5 arrivals

Step-by-step explanation:

Let t be the time (in hours), then random variable X is the number of people arriving for treatment at an emergency room.

The variable X is modeled by a Poisson process with a rate parameter of λ=6.

The probability of exactly k arrivals in a particular hour can be written as:

$P(x=k)=\lambda^{k} \cdot e^{-\lambda}/k!\\\\P(x=k)=6^k\cdot e^{-6}/k!$

a) The probability that exactly 3 arrivals occur during a particular hour is:

$P(x=3)=6^{3} \cdot e^{-6}/3!=216*0.0025/6=0.089\\\\$

b) The probability that <em>at least</em> 3 people arrive during a particular hour is:

$P(x\geq3)=1-[P(x=0)+P(x=1)+P(x=2)]\\\\\\P(0)=6^{0} \cdot e^{-6}/0!=1*0.0025/1=0.002\\\\P(1)=6^{1} \cdot e^{-6}/1!=6*0.0025/1=0.015\\\\P(2)=6^{2} \cdot e^{-6}/2!=36*0.0025/2=0.045\\\\\\P(x\geq3)=1-[0.002+0.015+0.045]=1-0.062=0.938$

c) In this case, t=0.25, so we recalculate the parameter as:

$\lambda =r\cdot t=6\;h^{-1}\cdot 0.25 h=1.5$

The expected value for a Poisson distribution is equal to its parameter λ, so in this case we expect 1.5 arrivals in a period of 15 minutes.

$E(x)=\lambda=1.5$

3 0

3 years ago

A certain rectangle is 5 times as long as it is wide. Suppose the length and width are both tripled. The perimeter of the second

astraxan [27]

It is tripled as well. You are tripling every distance and thus tripling the sum of the distances as well.

3 0

4 years ago

Pls help, will give brainliest

Alexeev081 [22]

Answer:

see image

Step-by-step explanation:

Hope this is clear enough, if not feel free to ask me any questions.

3 0

3 years ago

3 divided by 64,126

Elanso [62]

Answer:

00.00004678289

Step-by-step explanation:

4 0

3 years ago