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Dmitry [639]
3 years ago
7

5[x-3(x-3)] Simplify

Mathematics
1 answer:
katen-ka-za [31]3 years ago
3 0

Answer:

=−10x+45

Step-by-step explanation:

5(x−3(x−3))

=−10x+45

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A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced.
zzz [600]

Answer:

CI=(66.54,78.46)                                  

Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

To find : A 99% confidence interval for the mean yield when the new catalyst is used ?

Solution :

Let X be the yield of the batches.

We have given, n=10 , \bar{X}=72.5\% , s=5.8%

Since the size of the sample is small.

We will use the student's t statistic to construct a 995 confidence interval.

\bar X\pm t_{n-1,\frac{\alpha}{2}}\frac{s}{\sqrt n}

From the t-table with 9 degree of freedom for \frac{\alpha}{2}=0.005

t_{n-1,\frac{\alpha}{2}}=t_{9,0.005}

t_{n-1,\frac{\alpha}{2}}=3.250

The 99% confidence interval is given by,

CI=72.5 \pm 3.25\frac{5.8}{\sqrt{10}}

CI=72.5 \pm 5.96

CI=(72.5+5.96),(72.5-5.96)

CI=(66.54,78.46)

8 0
3 years ago
How many rectangles are needed to draw the net of this object?
Murljashka [212]
Only three rectangles are needed, the one at the bottom and the two at the sides.
I hope this helps.
YOU'RE WELCOME :D
8 0
3 years ago
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What is the mean absolute deviation of this data set?<br><br> 4, 8 , 3, 8, 7, 10, 9
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Answer: Mean Absolute Deviation (MAD): 7

Hope this helps u!

Have a good day and stay safe!

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X (27-x) = 182<br>Please help me by solving this!​
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