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Alex
3 years ago
13

QUESTION 2

Mathematics
1 answer:
mihalych1998 [28]3 years ago
3 0

One piece will be length x and the other piece will be 20 cm longer, so it will be x + 20 cm long.  

Added together the length of these two boards will equal 86 cm. So you can write an equation:  

x + (x + 20) = 86  

Remove the parentheses and add the two x's together to get:  

2x + 20 = 86

Subtract 20 from both sides:  

2x = 66  

Divide both sides by 2 and you have:  

x = 33  

The short piece is 33 cm and the other piece is 20 cm longer or 33 + 20 = 53 cm.

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Dmitriy789 [7]
A is -12/15 (4/5)
B is 35/12
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Sorry if any of these are wrong.
To check them, turn any mixed number into an improper fraction. Then, multiply by the reciprocal. Ex: 4/0 divided by 1/3
X reciprocal- 4/0 times 3/1
5 0
3 years ago
The z-score associated with 95% is 1.96. If the sample mean is 200 and the standard deviation is 30, find the upper limit of the
ziro4ka [17]

Answer:

The upper limit of the 95% confidence interval is:

C.I_u = 200 + (58.8/\sqrt{n})

Step-by-step explanation:

The formula is given as:

C.I = μ ± Z*σ/\sqrt{n}

The upper limit => C.I_u = μ + Z*σ/\sqrt{n}

The lower limit => C.I_l = μ - Z*σ/\sqrt{n}

The sample size (n) is not stated in the question. Hence, we calculate the upper limit with respect to n.

The upper limit => C.I_u = 200 + 1.96*(30/\sqrt{n})

                                    = 200 + (1.96*30)/\sqrt{n}

                                    = 200 + 58.8/\sqrt{n}

5 0
3 years ago
Solve for n.<br><br> 6 + 2n = 10<br><br> n =
melisa1 [442]

Step-by-step explanation:

<h2>Answer:-</h2>

\tt{6+2n = 10}

\tt{2n = 10-6}

\tt{2n = 4}

\tt{n = \dfrac{4}{2}}

\boxed{\tt{n=2}}

Hope it helps :)

8 0
3 years ago
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kow [346]

Answer:

The bill excluding tax is $31.21 and the 20% tip was $6.24.

4 0
3 years ago
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Answer:

10

Step-by-step explanation:

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