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vodomira [7]
3 years ago
7

How can we find the sum of x+5 and 2x+3

Mathematics
2 answers:
Nonamiya [84]3 years ago
8 0

Answer:

3x+8

Step-by-step explanation:

We add the variables. 1x + 2x = 3x

We then add the constants. 5 + 3 = 8

We then add these together.  3x + 8

valina [46]3 years ago
5 0

find the sum of the first 20 terms of the arithmetics

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Find the four arithmetic means between -21 and -36.
lara31 [8.8K]
The numbers given in the problem above are part of an arithmetic sequence with first and sixth terms equal to -21 and -36, respectively. Firstly, calculate for the common difference (d).
 
                                    d = (-36 - -21) / (6 - 1) = -3

The arithmetic mean is calculated by adding -3 to the term prior to it. 

            a2 = -21 + -3 = -24               a3 = -24 + -3 = -27
            a4 = -27 + -3 = -30               a5 = -30 + -3 = -33

Thus the four arithmetic means are -24, -27, -30, and -33.
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anzhelika [568]

Answer:

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Step-by-step explanation:

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3 years ago
A group of workers can plant 6 3/4 acres in 1 7/8 days. What is the unit rate in acres per day?
Sedaia [141]

Answer:

The answer is 3.6 acres per day

Step-by-step explanation:

To find the unit rate divide the number of acres by number of days

∴ Unit rate = 6\frac{3}{4} ÷ 1\frac{7}{8}

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6 0
3 years ago
You observe a portfolio for five years and determine that its average annual return is 13% and the standard deviation of its ret
horrorfan [7]

Answer:

There is a 95% probability that the portfolio would not loose more than 30% of its value.

Step-by-step explanation:

The confidence interval for proportions (<em>p</em>) is:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

The information provided is:

\hat p = 0.13\\\sqrt{\frac{\hat p(1-\hat p}{n}} =0.21

For 95% confidence level the critical value of <em>z</em> is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

The 95% confidence interval for average annual return is:

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The lower limit of the 95% confidence interval is -28%.

This implies that the portfolio would not loose more than 28% of its value.

Thus, there is a 95% probability that the portfolio would not loose more than 30% of its value.

6 0
3 years ago
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