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photoshop1234 [79]
3 years ago
13

What number can you add to √5 to get a rational number?

Mathematics
1 answer:
svetlana [45]3 years ago
4 0

Only -√5 will do the trick. Otherwise you're stuck with the irrational √5.

You might be interested in
Between which two consecutive integers does the square root of 830 lie ​
vodomira [7]

28^2=784

29^2=841

784<830<841

therefore sqrt784<sqrt830<sqrt841

therefore 28<sqrt830<29

Done!

8 0
3 years ago
A machine fills containers with a particular product. Assume the filling weights are normally distributed with a variance of 0.1
Ghella [55]

Answer:

z=-0.674

And if we solve for \mu we got

\mu=12 +0.674*0.4=12.270

So then the mean is 'mu = 12.270 for this case.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,\sqrt{0.16}= 0.4)  

For this part we want to find a value a, such that we satisfy this condition:

P(X>12)=0.85   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.25 of the area on the left and 0.85 of the area on the right it's z=-0.674. On this case P(Z<-0.674)=0.25 and P(z>-0.674)=0.85

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.674

And if we solve for \mu we got

\mu=12 +0.674*0.4=12.270

So then the mean is 'mu = 12.270 for this case.

8 0
3 years ago
Ax+by=c<br> с.<br> a<br> What is the value of x?
Sergeeva-Olga [200]

Answer:

ax + by = c \\ ax = c - by \\ { \boxed{ \boxed{x =  \frac{c - by}{a} }}}

3 0
2 years ago
Can someone explain this differentiation question to me? I can differentiate but then I'm not sure what I am doing
weeeeeb [17]

note that gradient = \frac{dy}{dx} at x = a

calculate \frac{dy}{dx} for each pair of functions and compare gradient

(a)

\frac{dy}{dx} = 2x and \frac{dy}{dx} = - 1

at x = 4 : gradient = 8 and - 1 : 8 > - 1

(b)

\frac{dy}{dx} = 2x + 3 and \frac{dy}{dx} = - 2

at x = 2 : gradient = 7 and - 2 and 7 > - 2

(c)

\frac{dy}{dx} = 4x + 13 and \frac{dy}{dx} = 2

at x = - 7 : gradient = - 15 and 2 and 2 > - 15

(d)

\frac{dy}{dx} = 6x - 5 and \frac{dy}{dx} = 2x - 2

at x = - 1 : gradient = - 11 and - 4 and - 4 > - 11

(e)

y = √x = x^{\frac{1}{2} }

\frac{dy}{dx} = 1/(2√x) and \frac{dy}{dx} = 2

at x = 9 : gradient = \frac{1}{6} and 2 and 2 > \frac{1}{6}


4 0
3 years ago
120540000 in word form and expanse from
valina [46]
One hundred twenty million five hundred forty thousand<span />
8 0
3 years ago
Read 2 more answers
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