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Natali [406]
2 years ago
15

For what value of p the equation [p-3]x²+4[p-3]+4=0

Mathematics
1 answer:
Vikentia [17]2 years ago
3 0

Step-by-step explanation:

(p-3)[x²+4]+4=0

(p-3)[x²+4]=-4

(p-3)=-4/x²+4

p=-4/x²+4+3

p=-4+3(x²+4)/x²+4

p= -4+3x²+12/x²+4

p=8+3x²/x²+4

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The auto parts department of an automotive dealership sends out a mean of 4.34.3 special orders daily. What is the probability t
Svetlanka [38]

Answer:

P(X = 5) = 0.166

Step-by-step explanation:

Given

Mean = 4.3

x = 5

Required

Determine the probability that the order is 5

This question can be answered using Poisson distribution.

P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}

Where

\alpha is used to represent the mean

and

\alpha = 4.3

x = 5

<em />e = 2.71828<em> ---- Euler's constant</em>

So, we have:

P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}

P(X = 5) = \frac{4.3^5  * 2.71828^{-4.3}}{5!}

P(X = 5) = \frac{4.3^5  * 2.71828^{-4.3}}{5* 4 * 3 * 2 *1}

P(X = 5) = \frac{4.3^5  * 2.71828^{-4.3}}{120}

P(X = 5) = \frac{1470.08443  * 0.01356859825}{120}

P(X = 5) = \frac{19.9469850243}{120}

P(X = 5) = 0.1662248752

P(X = 5) = 0.166 <em>Approximated</em>

6 0
3 years ago
A mountain in the ocean is bounded by the ocean floor z = 0 and the cone z = 4 − 2 √ x 2 + y 2 . Suppose the heat flow in and ar
Lemur [1.5K]

Answer:

67ft

Step-by-step explanation:

2 s =5 an theres

5 0
3 years ago
_________________ please help!!!!!!!
jeka94

Answer:

The answer would be C)5

Step-by-step explanation:

The unknown triangle is half of the size of the original triangle, The right side measurement basically hints to the actual answer.

5 0
3 years ago
3. What is the solution to the system of equations?
olga55 [171]
I think the answer is B but i could be wrong
3 0
3 years ago
Write an equation that is parallel to y = 3x and passes through (-4 , -3)
Anit [1.1K]
The slopes of two parallel lines must be identical.

We have slope m=3, so the slope for the parallel line be the same.

Now, to find an equation that also passes through the given point, we use slope-point form, y-y_1=m(x-x_1), where our point (-4,-3) is substituted for (x_1,y_1).

y+3=3(x+4)

Now, we convert to slope-intercept form as such.

y=3x+12-3\\y=3x+9

And we are done. :) We can verify graphically that these are indeed parallel lines. See attached.

8 0
3 years ago
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