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blagie [28]
2 years ago
9

Is 9/81 a rational number? why or why not.

Mathematics
1 answer:
soldi70 [24.7K]2 years ago
4 0

Answer:

9/81=1/9 The fraction 1/9 is a rational number. All rational numbers can be written as a fraction showing the relationship between two integers.

Step-by-step explanation:

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Two shipments of components were received by a factory and stored in two separate bins. Shipment I has​ 2% of its contents​ defe
leva [86]
<h2>Answer:</h2>

The probability that a defective component came from shipment II is:

                   0.7143\ or\ 71.43\%

<h2>Step-by-step explanation:</h2>

Let A denote the event that the defective component was from shipment I

Also, P(A)=2%=0.02

and B denote the event that the defective component was from shipment II.

i.e. P(B)=5%=0.05

Also, P(shipment I is chosen)=1/2=0.5

and P(shipment II is chosen)=1/2=0.5

The  probability that a defective component came from shipment II is calculated by Baye's rule as follows:

=\dfrac{\dfrac{1}{2}\times 0.05}{\dfrac{1}{2}\times 0.02+\dfrac{1}{2}\times 0.05}}\\\\\\=\dfrac{0.05}{0.07}\\\\=\dfrac{5}{7}\\\\=0.7143\ or\ 71.43\%

Hence, the answer is:

                        0.7143\ or\ 71.43\%

6 0
2 years ago
Question:twice as much as the sum of eighteen and eleven<br><br> in numbers and don't solve
Dmitrij [34]
2(18+11)
i think this is the expression you are looking for
3 0
2 years ago
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What is the slope-intercept form of the following equation? 10x + 4y = 16 options: a.) y =−5/2x + 16 b.) y = −5/2x + 4 c.) 4y =−
ira [324]

Answer:

The answer is option (b), y=-5/2x+4

Step-by-step explanation:

The slope intercept form is a way of expressing the equation of a straight line;  where there are two variables that vary in a linear form. The equation is always of the form; y=mx+c

Where;

  • y and x represents the variables on the y and x axis respectively
  • m is a real number representing the slope
  • c is also a real number representing the y-co-ordinate, where the line intercepts the y-axis

Solving for y in 10x+4y=16

(4y)/4=(-10x)/4+(16/4)

The answer is y=-5/2x+4, option (b)

6 0
2 years ago
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Which expressions can you use to find 75% of 56? Check all that apply.
alisha [4.7K]
Your answer would be B and C
7 0
2 years ago
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Of 1,050 randomly selected adults, 360 identified themselves as manual laborers, 280 identified themselves as non-manual wage ea
garik1379 [7]

Answer:

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

Step-by-step explanation:

We have a sample of executives, of size n=160, and the proportion that prefer trucks is 26%.

We have to calculate a 95% confidence interval for the proportion.

The sample proportion is p=0.26.

 

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.26*0.74}{160}}\\\\\\ \sigma_p=\sqrt{0.0012}=0.0347

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=1.96 \cdot 0.0347=0.068

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.26-0.068=0.192\\\\UL=p+z \cdot \sigma_p = 0.26+0.068=0.328

The 95% confidence interval for the population proportion is (0.192, 0.328).

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

3 0
2 years ago
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