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Svetllana [295]
3 years ago
8

The length of the longest side of a triangle is 1 inch less than the sum of the lengths of the other two sides. How long is the

longest side of this triangle if the perimeter is 35 inches?
Mathematics
1 answer:
Gwar [14]3 years ago
4 0
The length of the longest side is 17 inches.
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Student Debt – Vermont: The average student loan debt of a U.S. college student at the end of 4 years of college is estimated to
mezya [45]

Answer:

The confidence interval is (24116.3878,24883.6122).

Step-by-step explanation:

We are given the following information in the question:

Population mean, \mu = $23,500

Sample mean,\bar{x} = $24,500

Sample standard deviation,s = $2,800

Sample size, n =  146

Confidence interval:

\bar{x} \pm t_{critical}\frac{s}{\sqrt{n}}  

Putting the values, we get,

t_{critical}\text{ at}~\alpha_{0.05} = \pm 1.655436

24500 \pm 1.65543(\frac{2800}{\sqrt{146}} ) = 24500 \pm 383.6122 = (24116.3878,24883.6122)

The confidence interval is (24116.3878,24883.6122).

5 0
3 years ago
Find the common ratio for the geometric sequence defined by the formula: an=40(2‾√)n−1 a n = 40 ( 2 ) n − 1
WITCHER [35]

The ratio of the geometric sequence 402^{n-1} is 2.

Given that geometric sequence is 40*2^{n-1} and we have to find the common ratio of all the terms.

Geometric sequence is a sequence in which all the terms have a common ratio.

Nth termof a GP is ar^{n-1} in which a is first term and r is common ratio.

Geometric sequence=40*2^{n-1}

We have to first find the first term, second term and third term of a geometric progression.

First term=40*2^{1-1}

=40*2^{0}

=40*1

=40

Second term=40*2^{2-1}

=40*2^{1}

=40*2

=80

Third term=40*2^{3-1}

=40*2^{2}

=40*4

=160

Ratio of first two terms=80/40=2

Ratio of next two terms=160/80=2

Hence the common ratio of geometric sequence is 2.

Learn more about geometric progression at brainly.com/question/12006112

#SPJ1

4 0
2 years ago
Is 6.78778777 irrational?
Monica [59]
No its not because its a repeating decimal for a number to be a irrational number it has to be non terminating or non repeating
7 0
3 years ago
When solving a quadratic equation by using the square root method, and the final step results in square-rooting a “perfect squar
Elena L [17]

Answer:

Step-by-step explanation:

we're asked to solve the equation two x squared plus three is equal to 75 so in this situation it looks like we might be able to isolate the x squared pretty simply because there's only one term that involves the next year it's only this x squared term so let's try to do that so let me just rewrite it we have two x squared plus three is equal to 75 I'm going to try to isolate this x squared ...

4 0
3 years ago
Use the equation below to find T, if w=85, m= 12, and a=3.<br> T=w-ma<br> T = 3,060<br> X<br> ?
saw5 [17]

Answer:

T = 49

Step-by-step explanation:

T = w - ma

w = 85

m = 12

a = 3

Plug in the corresponding numbers to the corresponding variables:

T = (85) - (12) * (3)

Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

First, multiply, then subtract:

T = 85 - (12 * 3)

T = 85 - 36

T = 49

T = 49 is your answer.

~

6 0
2 years ago
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