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maria [59]
2 years ago
8

0.5w+3x,when w=6,x=5

Mathematics
1 answer:
Nina [5.8K]2 years ago
5 0

Answer:

3 + 15 =

18

Step-by-step explanation:

0.5 x 6 =3

3 x 5 = 15

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What is the least common denominator for 3/10 and 7/8?
Helen [10]
3/10 <7/8
Please my answer
6 0
3 years ago
While researching the cost of school lunches per week across the state, you use a sample size of 45 weekly lunch prices. The sta
Drupady [299]

We assume the lunch prices we observe are drawn from a normal distribution with true mean \mu and standard deviation 0.68 in dollars.


We average n=45 samples to get \bar{x}.


The standard deviation of the average (an experiment where we collect 45 samples and average them) is the square root of n times smaller than than the standard deviation of the individual samples. We'll write


\sigma = 0.68 / \sqrt{45} = 0.101


Our goal is to come up with a confidence interval (a,b) that we can be 90% sure contains \mu.


Our interval takes the form of ( \bar{x} - z \sigma, \bar{x} + z \sigma ) as \bar{x} is our best guess at the middle of the interval. We have to find the z that gives us 90% of the area of the bell in the "middle".


Since we're given the standard deviation of the true distribution we don't need a t distribution or anything like that. n=45 is big enough (more than 30 or so) that we can substitute the normal distribution for the t distribution anyway.


Usually the questioner is nice enough to ask for a 95% confidence interval, which by the 68-95-99.7 rule is plus or minus two sigma. Here it's a bit less; we have to look it up.


With the right table or computer we find z that corresponds to a probability p=.90 the integral of the unit normal from -z to z. Unfortunately these tables come in various flavors and we have to convert the probability to suit. Sometimes that's a one sided probability from zero to z. That would be an area aka probability of 0.45 from 0 to z (the "body") or a probability of 0.05 from z to infinity (the "tail"). Often the table is the integral of the bell from -infinity to positive z, so we'd have to find p=0.95 in that table. We know that the answer would be z=2 if our original p had been 95% so we expect a number a bit less than 2, a smaller number of standard deviations to include a bit less of the probability.


We find z=1.65 in the typical table has p=.95 from -infinity to z. So our 90% confidence interval is


( \bar{x} - 1.65 (.101),  \bar{x} + 1.65 (.101) )


in other words a margin of error of


\pm 1.65(.101) = \pm 0.167 dollars


That's around plus or minus 17 cents.




3 0
3 years ago
Read 2 more answers
−4x+60&lt;72 or 14x+11&lt;−31 solve for x
gulaghasi [49]
The answer to your question is x = 8
5 0
2 years ago
Read 2 more answers
Two trains leave stations 560 miles apart at the same time and travel toward each other. One train travels at 90 miles per hour
lana [24]

Answer: the two trains will meet in 2.8 hours

Step-by-step explanation:

Step 1

Speed of train A  = 90mph

Speed of train B = 110 mph

Since both trains  are travelling towards each other , their effective speed will be= 90 mph + 110mph= 200mph

Step 2

we know that Speed = distance / time

therefore Time = Distance / speed

Distance = 560 miles

Speed = 200 mph

Time = 560miles / 200mph

2.8 hours

5 0
3 years ago
I don't understand 1/2 +1/6 what the answer
romanna [79]

Answer:

4/6

Step-by-step explanation:

1/2=3/6+1/6=4/6

3 0
2 years ago
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