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3 years ago

Which expression is equivalent to sqrt8/x^6? Assume x > 0

Mathematics

2 answers:

ivolga24 [154]3 years ago

8 0

Answer:

4th option

Step-by-step explanation:

The √8 is √4 time √2, and √4 is a perfect square equaling 2. So we have,

$\frac{2\sqrt{2} }{\sqrt{x^6} }$

The $\sqrt{x^6}$ is x³.

$\frac{2\sqrt{2} }{x^3}$

So we have our final answer!

Dmitry [639]3 years ago

6 0

Answer:

√ 8 / x^6

= 2√2 / x³

That's option D

Hope this helps

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During a 5-year period, 48% of snowstorms in a certain city caused power outages. Thirty dash nine of the snowstorms did not

beks73 [17]

Answer:

Step-by-step explanation:

48% of snowstorms caused power outages, which means 52% did not.

Therefore, 39 is 52% of all snowstorms.

39 = 0.52x

x = 75

There were 75 snowstorms over the 5-year period.

4 0

4 years ago

A small company 's net income for the first 6 months of the year was 76.500 and for the last six months it was 100,000 . What is

inna [77]

Answer:The ratio of net income in the first 6 months, to the last six months is $76,500 / $100,000. This simplifies intuitively as follows:

76500/100000

Dividing by 100: 765/1000

Dividing by 5: 153/200

The denominator 200 is only divisible by the prime numbers 2 and 5, and since the numerator 153 is not divisible by either 2 or 5, this means that this is in simplest form, and the final answer is 153/200.

Step-by-step explanation:i did the research for you this isnt my own answer therefore don't give me the credit. but hope this helped you tho :D

5 0

3 years ago

Data collected at Toronto Pearson International Airport suggests that an exponential distribution with mean value 2725hours is a

Ivan

Answer:

a) What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?

We want this probability"

$P(X >2) = 1-P(X\leq 2) = 1-(1- e^{-0.367 *2})=e^{-0.367 *2}= 0.48$

At most 3 hours?

$P(X \leq 3) = F(3) = 1-e^{-0.367*3}= 1-0.333 =0.667$

b) What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations?

$P(X > 2.725 + 2*5.540) = P(X>13.62) = 1-P(X$

What is the probability that it is less than the mean value by more than one standard deviation?

$P(X$

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

$P(X=x)=\lambda e^{-\lambda x}$

The cumulative distribution for this function is given by:

$F(X) = 1- e^{-\lambda x}, x\ geq 0$

We know the value for the mean on this case we have that :

$mean = \frac{1}{\lambda}$

$\lambda = \frac{1}{Mean}= \frac{1}{2.725}=0.367$

Solution to the problem

Part a

What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?

We want this probability"

$P(X >2) = 1-P(X\leq 2) = 1-(1- e^{-0.367 *2})=e^{-0.367 *2}= 0.48$

At most 3 hours?

$P(X \leq 3) = F(3) = 1-e^{-0.367*3}= 1-0.333 =0.667$

Part b

What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations?

The variance for the esponential distribution is given by: $Var(X) =\frac{1}{\lambda^2}$

And the deviation would be:

$Sd(X) = \frac{1}{\lambda}= \frac{1}{0.367}= 2.725$

And the mean is given by $Mean = 2.725$

Two deviations correspond to 5.540, so we want this probability:

$P(X > 2.725 + 2*5.540) = P(X>13.62) = 1-P(X$

What is the probability that it is less than the mean value by more than one standard deviation?

For this case we want this probablity:

$P(X$

8 0

4 years ago

You mix 1 1/2 quarts of juice with 2 1/4 quarts of ginger L to make fruit punch what is the ratio of the amount of juice to the

Rudik [331]

3.75!!!!!!!!!!!!!!!!!!!!!!!!-

7 0

3 years ago

Jacinta scores 23, 19, and 27 on three of her four tests. She wants to get an

pochemuha

Answer:

23+19+27+x = 96

x > 27

not sure if the answer can be left that way or do you assume that test results are whole numbers, if so then the answer would b=have to be 28.. but I think that >27 is the answer expected

Step-by-step explanation:

7 0

3 years ago