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2 years ago

What is the Slope of these two points (6,2) and (9,5)

Mathematics

2 answers:

Daniel [21]2 years ago

7 0

Answer: 1

Step-by-step explanation:

You would use the slope formula which is (y2-y1)/(x2-x1) where x1 and y1 correspond to the first point and x2 and y2 correspond to the second point. This would be (5-2)/(9-6) which equals 1. Hope this helps!

RideAnS [48]2 years ago

6 0

Answer:

Slope is 1

Step-by-step explanation:

(5-2)/(9-6)

=3/3

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2 years ago

A phone company charges $0.45 for the first minute and $0.35 for each additional minute for a long distance call. Which numerica

Vinvika [58]

0.45+19(0.35)

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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 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.

$E(x)=\lambda=1.5$

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3 years ago

Figure ABCD is graphed on a coordinate plane.

Phoenix [80]

1. BC is 1+3=4 (units)

2. AD is 3+5= 8 (units)

3. Draw the altitude CH from point C, as shown in the figure.

4. Then triangle CHD is a right triangle, with hypothenuse CD, and sides HD and CH.

5. $CD^2=HD^2+CH^2$

$CD^2=2^2+4^2=4+16=20$

$CD= \sqrt{20}= \sqrt{4*5}= \sqrt{4} * \sqrt{5}=2 \sqrt{5}= 4.47$

6. AB=CD=4.47 because the trapezoid is isosceles.

7. P= BC+AD+AB+CD=4+8+4.47+4.47=20.9 (units)

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3 years ago

Read 2 more answers

Dexter was asked to mix the punch for his sister’s birthday party. He has to figure out how much water and pure concentrate to a

Zigmanuir [339]

Answer:

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Step-by-step explanation:

Let x represent the amount of pure concentrate used to make the punch. Then the total amount of concentrate in the punch is ...

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x +2 = 0.5x +5 . . . . . eliminate parentheses

0.5x = 3 . . . . . . . . . . .subtract 2+0.5x

x = 6 . . . . . . . . . . . . . multiply by 2

6 liters of pure concentrate must be added to make a 50% punch.

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2 years ago