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sergiy2304 [10]
3 years ago
9

The sum of 1/2 and 6 times a number is equal to 5/6 subtracted from 7 times the number

Mathematics
1 answer:
drek231 [11]3 years ago
5 0

Answer:

X =1/39

Step-by-step explanation:

1/2+ 6X = 5/6 - 7X Transposing terms

6X  + 7X =5/6 - 1/2

13X = 5/6 - 3/6

13X = 2/6 simplifying

13X = 1/3

and transposing 13:

X =1 / (13x3)  reducing

X= 1/39

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A sealed-tube manometer can be used to measure pressures below atmospheric pressure. The tube above the mercury is evacuated. Wh
sp2606 [1]
The <u>correct answers</u> are:

6.5 cm = 65.00001052 torr
6.5 cm = 8665.93 Pa
6.5 cm = 0.08552632119 atm

Explanation

The conversion rate from centimeters mercury (cm Hg) to torr is
1 torr = 0.099999983814461 cm.

We have 6.5 cm; this means to convert we divide:
6.5/0.099999983814461 = 65.00001052

The conversion rate from cm Hg to Pascals (Pa) is
1 cm = 1333.22 Pa

We have 6.5 cm; this means to convert we multiply:
6.5(1333.22) = 8665.93

The conversion rate from cm Hg to atmospheres (atm) is
1 atm = 75.999995199606 cm

We have 6.5 cm; this means to convert we divide:
6.5/75.999995199606 = 0.08552632119
7 0
3 years ago
Read 2 more answers
A TV is listed for 35% off. If the original price was $550, what is the sale price?
almond37 [142]

Answer:

357.50$

Step-by-step explanation:

550 x 35% =192.50$

550 - 192.50 = 357.50$

7 0
3 years ago
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Combine the like terms to create an equivalent expression.<br> 7<br> x<br> −<br> x<br> 7x−x
bija089 [108]

Answer:

the answer is 6x.

Step-by-step explanation:

3 0
2 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
Rico walked for 3/10 mile. Then he walked for 24/100 mile. How far did he walk in all?
grigory [225]
First, Rico walked for 3/10 of a mile which is 30/100 of a mile.
Hen, Rico walked for 24/100 of a mile.
Then you add 24/100 and 30/100. 24+30/100 which is 54/100.
Answer=54/100 of a mile
4 0
3 years ago
Read 2 more answers
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