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Anastasy [175]
3 years ago
14

6nsquared - 5nsquared + 7nsquared simplify the expression

Mathematics
2 answers:
Alik [6]3 years ago
5 0
6n^2-5n^2= n^2

n^2+7n^2= 8n^2

Final answer: 8n^2
Remember that all of these terms are like terms so you can just add/subtract coefficients.
Vitek1552 [10]3 years ago
5 0
The equation is 6n^2-5n^2+7n^2. Since the exponents are the same, you can just add and subtract. 6n^2-5n^2=n^2. N^2+7n^2=8n^2. The answer to this is 8n^2. I hope this helps! :)
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What is the solution to the compound inequality in interval notation?
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The mayor is interested in finding a 98% confidence interval for the mean number of pounds of trash per person per week that is
saul85 [17]

Solution :

Given :

Sample mean, $\overline X = 34.2$

Sample size, n = 129

Sample standard deviation, s = 8.2

a. Since the population standard deviation is unknown, therefore, we use the t-distribution.

b. Now for 95% confidence level,

   α = 0.05, α/2 = 0.025

  From the t tables, T.INV.2T(α, degree of freedom), we find the t value as

  t =T.INV.2T(0.05, 128) = 2.34

  Taking the positive value of t, we get  

  Confidence interval is ,

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 (32.52, 35.8)

 95% confidence interval is  (32.52, 35.8)

So with $95 \%$ confidence of the population of the mean number of the pounds per person per week is between 32.52 pounds and 35.8 pounds.

c. About $95 \%$ of confidence intervals which contains the true population of mean number of the pounds of the trash that is generated per person per week and about $5 \%$ that doe not contain the true population of mean number of the pounds of trashes generated by per person per week.  

4 0
2 years ago
31 gallons of gas cost $82.15.
Nadya [2.5K]
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8 0
3 years ago
Find the area of a triangle with a =33, b =51, and c =42.
PolarNik [594]

Answer:

d. 690.1 units²

Step-by-step explanation:

1. You can use the Heron's formula to calculate the area of the triangle, which is:

K=\sqrt{s(s-a)(s-b)(s-c)}

Where:

s=\frac{a+b+c}{2}

2. Calculate s:

s=\frac{33+51+42}{2}\\s=63

3. Substitute values into the formula shown above and calculate the area, as following:

K=\sqrt{63(63-33)(63-51)(63-42)}\\K=690.1units^{2}

4. Therefore, the area is 690.1 units².

4 0
3 years ago
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