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Igoryamba
3 years ago
6

I need help please. DUE TOMORROW!

Mathematics
2 answers:
Julli [10]3 years ago
5 0
In order to get your final answer to this problem,, you will need to factor out \frac{2}{9} from the expression.
\frac{2}{9}  × (j + 3) 
Since we cannot simplify this expression down any further and we have removed our coefficient,, the correct answer to your question is going to be \frac{2}{9}  × (j + 3).
Let me know if you have any further questions.
:)
amid [387]3 years ago
5 0
You are given (2/9)j + 2/3.  The variable is j and the coefficient of j is (2/9).  <em>If you're supposed to factor out the coeff. of j, factor out (2/9) from both (2.9)j and (2/3):

(2/9)(j + 3) (answer)
</em>
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^ need help !!!!!!!!!!!!!!!!!!!!
elena-14-01-66 [18.8K]
First set up the equation to find answer: y=7-x. Then add it to the variable. 3x-1(7-x)=1. So that makes it 3x+-7+-1=1. Add like terms -7+-1=-8, so 3x+-8=1. Now to find x just switch the 8 to the other side. So you end up with 3x=9 since when you take away a number from one side you need to use the opposite value so adding 8 to -8 will cancel it out, then add it to the other, then just divide. 9/3=3, from here just substitute to find y. y=7+3. y=10. The answer is x=2 and y=5. I hope I helped!

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3 years ago
Read 2 more answers
A toy store marks down every toy by 15% in January. How much does a toy cost during January? Use p for the price in December.
Vinil7 [7]

Answer:

s=p−(p⋅d) .      0.75p

Step-by-step explanation:

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3 years ago
Write $2.161616 as a fraction and mixed number
Alona [7]
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mixed number is 2 161616/1000000
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3 years ago
A geneticist needs to grow a stock of fruit flies for her experiments.
antoniya [11.8K]

Answer :B

Step-by-step explanation:

200/1.8

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3 years ago
A grinding wheel manufacturer designed a new grinding wheel. Repeated tests were conducted on wheels of approximately the same w
sergejj [24]

Answer:

a) a=225 +0.674*16.5=236.121

So the value of height that separates the bottom 75% of data from the top 25% is 236.121.  

b) P(X \geq 3) = 1-P(X

c) P(\bar X \geq 225)=1- P(\bar X

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".  

2) Part a

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

X \sim N(225,16.5)  

Where \mu=225 and \sigma=16.5

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

P(X>a)=0.25   (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 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

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=\frac{a-225}{16.5}

And if we solve for a we got

a=225 +0.674*16.5=236.121

So the value of height that separates the bottom 75% of data from the top 25% is 236.121.  

Part b

For this case we know that the individual probability of select one wheel with a cutting rate higher than the calculated value in part a is 0.25, and we select n =10 so then we can use the binomial distribution for this case:

X\sim Bin(n=10, p=0.25)

And we want this probability:

P(X \geq 3) = 1-P(X

We can find the individual probabilities like this:

P(X=0)=(10C0)(0.25)^0 (1-0.25)^{10-0}=0.0563

P(X=1)=(10C1)(0.25)^1 (1-0.25)^{10-1}=0.1877

P(X=2)=(10C2)(0.25)^2 (1-0.25)^{10-2}=0.2816

P(X \geq 3) = 1-P(X

Part c

For this case we know that the distribution for the sample mean is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want this probability:

P(\bar X \geq 225)

And for this case we can use the complement rule and the z score given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And if we replace we got:

P(\bar X \geq 225)=1- P(\bar X

4 0
3 years ago
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