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Tom [10]
2 years ago
10

What is the value of n in the equation 1/2(n – 4) – 3 = 3 – (2n + 3)? n =

Mathematics
2 answers:
yuradex [85]2 years ago
3 0
It may be 3 I guess?
NARA [144]2 years ago
3 0
I'll be a bit more verbose than I have to.  Feel free to skip some steps if you're comfortable with that.

\frac 1 2 (n-4)- 3 = 3- (2n + 3)

\frac 1 2 (n-4) = 3 +3- (2n + 3) = 3-2n

I try to clear the fractions when I can.  Multiply both sides by two.

n-4 = 6-4n

n + 4n = 6 + 4

5n = 10

n = 10/5=2

Check:

\frac 1 2 (n-4)-3 = \frac 1 2 (2-4)-3 = -1 -3 = -4

3-(2n + 3)=3-(2(2) + 3) = 3-7=-4 \quad\checkmark

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Evaluate the double integral. 9y2 da, d is the triangular region with vertices (0, 1), (1, 2), (4, 1) d
Rudik [331]
Consider this option (see the attachment).
If it is possible, check it in other sources.

6 0
2 years ago
The California State University (CSU) system consists of 23 campuses, from San Diego State in the south to Humboldt State near t
miv72 [106K]

Answer:

For this case since since they not want to differentiate between the campuses, so is good to use a simple random sampling or SRS, that is a procedure in order to select a sample of size n from a population of size N known, and each element of the population have the sample probability of being selected p=\frac{1}{N}

So then the administrator can select a random sample of n students from all the campuses from the CSU University and obtain the distance from hometwon to campuses for the selected sample and then calculate the average and use this to inference.

Other possibility is use a systematic random sampling for example they can define a random number k and they can select 1 student each k individuals and then create a random sample of size n and calculate the average for this in order to do inference.

The convenience sampling is not too useful since is not a probabilistic method.

Step-by-step explanation:

For this case we can clasify this study as an enumerative study and inferential since they want to identify the average distance between the hometowns of students and their campuses.

For this case the sampling frame represent all the 23 campuses, and is known for the researcher,

For this case since since they not want to differentiate between the campuses, so is good to use a simple random sampling or SRS, that is a procedure in order to select a sample of size n from a population of size N known, and each element of the population have the sample probability of being selected p=\frac{1}{N}

So then the administrator can select a random sample of n students from all the campuses from the CSU University and obtain the distance from hometwon to campuses for the selected sample and then calculate the average and use this to inference.

Other possibility is use a systematic random sampling for example they can define a random number k and they can select 1 student each k individuals and then create a random sample of size n and calculate the average for this in order to do inference.

The convenience sampling is not too useful since is not a probabilistic method.

6 0
2 years ago
Chuanxi planned a rectangular sidewalk with a length of 21 ft. He made a scale drawing using a scale factor of 1 in. = 7 ft. He
Masteriza [31]
Original Ratio of 1 in = 7 ft so 3 in = 21 ft
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1/x = 3/27

cross multiply a/b = c/d ad = bc
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x = 9

1 in represents 9 ft
7 0
2 years ago
Read 2 more answers
Gavin likes biking. He never misses a chance to go for a ride when the weather is nice. This week his goal is to bike about 65 t
andreyandreev [35.5K]

Answer:

How far should he ride on each of the four days to reach his goal?

1st day: 8 miles

2nd day: 12 miles

3rd day: 18 miles

4th day: 27 miles

Step-by-step explanation: As the problem says, x is the number of miles he rides on the first day. Let's start off with that.

1st day: x miles

He want to ride 1.5 times as far as he rode the day before... no 1.5 more, but 1.5 <em>times</em> as far as he rode the day before; you would multiply 1.5 with the previous day's length.

2nd day: 1.5x

Then you multiply 1.5 to 1.5x to get the third day's.

3rd day: 2.25x

4th day: 3.375x

----------------------------

Phew! Gavin wants to ride a total of 65 miles over these four days, so if Gavin added all the miles of the four days, he should get 65...

1st+2nd+3rd+4th=65

x+1.5x+2.25x+3.375x=65

8.125x=65

\frac{8.125x}{8.125}=\frac{65}{8.125}

x=8

Yes! Now that we've got the hard part done... substitute 8 for ever single x.

1st day: 8 miles

2nd day: 1.5(8)=12 miles

3rd day: 2.25(8)=18 miles

4th day: 3.375(8)=27 miles

-------------------------

Checking my answer:

Just add the miles!

8+12+18+27=65

65=65

✓

-----------------------

Hope that helps! :D



5 0
2 years ago
the local volleyball team hosts a concession stand to raise money. They can spend $120 to purchase popcorn, candy, and drinks. t
Art [367]
To solve this question, I did an equation:
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0.75(95) + 1.20(35) = 120
Then multiply:
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Now to check:
71.25 + 42 = 113.25
Answer: 120 - 113.25 = $6.75 Hope this helps

7 0
2 years ago
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