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2 years ago

I NEED HELP PLEASE, THANKS! :)

Mathematics

1 answer:

saw5 [17]2 years ago

4 0

Hey there! :)

Answer:

First option: As x⇒ ∞ f(x) ⇒ -∞. As x⇒ -∞ f(x) ⇒ ∞.

Step-by-step explanation:

Rearrange the equation:

f(x) = -x³ - 2x² + 1

This is a negative cubic function. The function decreases over the interval

(-∞, ∞). Therefore:

As x⇒ ∞ f(x) ⇒ -∞.

As x⇒ -∞ f(x) ⇒ ∞.

This is the first option.

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Problem 8-4 A computer time-sharing system receives teleport inquiries at an average rate of .1 per millisecond. Find the probab

Sphinxa [80]

Answer: a) 0.9980, b) 0.0013, c) 0.0020, d) 0.00000026, e) 0.0318

Step-by-step explanation:

Problem 8-4 A computer time-sharing system receives teleport inquiries at an average rate of .1 per millisecond. Find the probabilities that the number of inquiries in a particular 50-millisecond stretch will be:

Since we have given that

$\lambda=0.1\ per\ millisecond=5\ per\ 50\ millisecond=5$

Using the poisson process, we get that

(a) less than or equal to 12

probability= $P(X\leq 12)=\sum _{k=0}^{12}\dfrac{e^{-5}(-5)^k}{k!}=0.9980$

(b) equal to 13

probability= $P(X=13)=\dfrac{e^{-5}(-5)^{13}}{13!}=0.0013$

probability= $P(X>12)=\sum _{k=13}^{50}\dfrac{e^{-5}.(-5)^k}{k!}=0.0020$

(d) equal to 20

probability= $P(X=20)=\dfrac{e^{-5}(-5)^{20}}{20!}=0.00000026$

(e) between 10 and 15, inclusively

probability= $P(10\leq X\leq 15)=\sum _{k=10}^{15}\dfrac{e^{-5}(-5)^k}{k!}=0.0318$

Hence, a) 0.9980, b) 0.0013, c) 0.0020, d) 0.00000026, e) 0.0318

6 0

2 years ago

A playground slide is 14.5 feet long with an 8.5-foot tall ladder. What is the measure of the angle that the slide makes with th

Svetach [21]

The correct answer is 36 degrees

good luck

5 0

3 years ago

Read 2 more answers

I needed help with small numbers<br>2 - 100<br>3-1000<br>2-10000<br>4 1000000 each in standard form

adelina 88 [10]

10^1
10^2
10^3
10^4
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5 0

2 years ago

en la fiesta de ana ay chocaletes chicles y paletas a 10 le gustan los chicles y 7 las paletas y solo a dos le gustan los chicle

Lelu [443]

Answer:

Step-by-step explanation:

Si solicita el total, el total es 10 + 7 + 2, que es 19.

¡Marque como más inteligente!

7 0

2 years ago

Hey guys! Can you simplify this? Be sure to show your work so i know you aren't guessing! Also remember when you answer a questi

Evgen [1.6K]

Answer: x=7

Step-by-step explanation:

Simplifying

8 + 2x = 6x + -20

Reorder the terms:

8 + 2x = -20 + 6x

Solving

8 + 2x = -20 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

8 + 2x + -6x = -20 + 6x + -6x

Combine like terms: 2x + -6x = -4x

8 + -4x = -20 + 6x + -6x

Combine like terms: 6x + -6x = 0

8 + -4x = -20 + 0

8 + -4x = -20

Add '-8' to each side of the equation.

8 + -8 + -4x = -20 + -8

Combine like terms: 8 + -8 = 0

0 + -4x = -20 + -8

-4x = -20 + -8

Combine like terms: -20 + -8 = -28

-4x = -28

Divide each side by '-4'.

x = 7

Simplifying

x = 7

7 0

2 years ago