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strojnjashka [21]
3 years ago
8

Which of the following have a common denominator of 18?

Mathematics
2 answers:
kirill115 [55]3 years ago
4 0
I think its 2 1/2 and 4/9. I'm not 100% sure but I hope it helps.
11111nata11111 [884]3 years ago
3 0
It looks like 2 and a half and 4/9 both have a common denominator of 18, as 2 goes into 18 9 times, and 9 goes into 18 twice.
Hope this helps!
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Percent between 230.59 and 243.24
yaroslaw [1]
All we have to do here is subtract 243.24 from 230.59 to get our percentage.
243.24 - 230.59 = 12.65%
3 0
3 years ago
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The tensile strength of stainless steel produced by a plant has been stable for a long time with a mean of 72 kg/mm2 and a stand
Elanso [62]

Answer:

95% confidence interval for the mean of tensile strength after the machine was adjusted is [73.68 kg/mm2 , 74.88 kg/mm2].

Yes, this data suggest that the tensile strength was changed after the adjustment.

Step-by-step explanation:

We are given that the tensile strength of stainless steel produced by a plant has been stable for a long time with a mean of 72 kg/mm 2 and a standard deviation of 2.15.

A machine was recently adjusted and a sample of 50 items were taken to determine if the mean tensile strength has changed. The mean of this sample is 74.28. Assume that the standard deviation did not change because of the adjustment to the machine.

Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;

                         P.Q. = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean strength of 50 items = 74.28

            \sigma = population standard deviation = 2.15

            n = sample of items = 50

            \mu = population mean tensile strength after machine was adjusted

<em>Here for constructing 95% confidence interval we have used One-sample z test statistics as we know about population standard deviation.</em>

So, 95% confidence interval for the population mean, \mu is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level of

                                                  significance are -1.96 & 1.96}  

P(-1.96 < \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < 1.96) = 0.95

P( -1.96 \times {\frac{\sigma}{\sqrt{n} } } < {\bar X-\mu} < 1.96 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.95

P( \bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } } < \mu < \bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.95

<u><em>95% confidence interval for</em></u> \mu = [ \bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } } , \bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } } ]

                 = [ 74.28-1.96 \times {\frac{2.15}{\sqrt{50} } } , 74.28+1.96 \times {\frac{2.15}{\sqrt{50} } } ]

                 = [73.68 kg/mm2 , 74.88 kg/mm2]

Therefore, 95% confidence interval for the mean of tensile strength after the machine was adjusted is [73.68 kg/mm2 , 74.88 kg/mm2].

<em>Yes, this data suggest that the tensile strength was changed after the adjustment as earlier the mean tensile strength was 72 kg/mm2 and now the mean strength lies between 73.68 kg/mm2 and 74.88 kg/mm2 after adjustment.</em>

8 0
3 years ago
To which subset of real numbers does the number 1/5 belong?
nasty-shy [4]

Answer: Option 'B' and 'C' are correct.

Step-by-step explanation:

Since we know that irrational numbers are those real number which cannot be written in \frac{p}{q} form.

Rational numbers are those real numbers which can be written in \frac{p}{q} form.

Inverse property of multiplication is that property in which we write a number in reciprocal form .

Whole numbers starts from 0 and Natural numbers start from 1 and Integers contain both positive and negative numbers.

Hence, \frac{1}{5} belongs to rational numbers sets and inverse property of multiplication sets.

Therefore, Option 'B' and 'C' are correct.


5 0
3 years ago
Read 2 more answers
IM just a little bit slow
viva [34]

Answer:

71°

Step-by-step explanation:

31-3x+19x-5=90

16x=90-26

16x=64

x=4

m<R=19x-5 = 19(4)-5 = 76-5 = 71

5 0
3 years ago
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Which equation is represented by the graph below?
Westkost [7]
I would say y = ln x + 4
you can use a graphing calculator
7 0
3 years ago
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