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2 years ago

How do I simplify the square root: 7 times the square root of 81

Mathematics

1 answer:

DENIUS [597]2 years ago

7 0

$7\cdot\sqrt{81}=7\cdot\sqrt{9\cdot9}=7\cdot9=\boxed{63}$

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3 years ago

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I need help with 5 & 6 please

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2 years ago

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3 years ago

If 3 is added to twice a number, the result is 17. Find the number

Crank

Answer:

Step-by-step explanation:

The text of this expression is:

"If 3 is added to twice a number, the result is 17. Find the number"

Let's call $x$ the number we want to find.

Twice the number is equal to

$2x$

So, if we add 3 to 2x, we get

$3+2x$

And we know that this is equal to 17:

$3+2x=17$

Now we can solve the equation to find x: first, we subtract 3 from both sides

$3+2x-3=17-3\\2x=14$

Now we divide both sides by 2:

$\frac{2x}{2}=\frac{14}{2}\\x=7$

7 0

2 years ago

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