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Karo-lina-s [1.5K]
3 years ago
15

A shopping channel shipped 467,023 packages last year. What is a reasonable estimate of number of packages shipped?Explain.

Mathematics
2 answers:
kirza4 [7]3 years ago
6 0
470,000 because when you round the number up, you get 470,000. it is reasonable
nata0808 [166]3 years ago
4 0

Answer:

470,000

Step-by-step explanation:

A shopping channel shipped 467,023 packages last year.

Now, the most reasonable estimate of number of packages shipped will be rounding this digit to nearest ten thousand.

Rounding this number to nearest ten thousand we get, 470,000.

This is because the most reasonable estimate means the nearest rounded off number so, 67023 is rounded to 70000.

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<img src="https://tex.z-dn.net/?f=%284%20%2B%206i%29%20%7B%7D%5E%7B2%7D%20" id="TexFormula1" title="(4 + 6i) {}^{2} " alt="(4 +
34kurt

Answer:

36i^{2}+48i+16

Step-by-step explanation:

(4+6i)^{2} is essentially (4+6i)(4+6i) (you are squaring (4+6i), so multiplying it by itself), so to simplify, you would need to distribute.

A good way to go about this is using the F.O.I.L. method, multiplying the First numbers in the parentheses, then the Outers, then Inners, and finally, Lasts.

(4+6i)(4+6i) >> (4+6i)(4+6i) >> (4+6i)(4+6i) >> (4+6i)(4+6i)

((4*4)+(4*6i)+(6i*4)(6i*6i))

After doing so, you would end up with 16+24i+24i+36i^{2}, and after combining like terms, 16+48i+36i^{2}.

To write the expression in standard form, though, just order the terms from highest to lowest power!

5 0
3 years ago
Find a value for the following: (3+2)^3
dsp73
The answer is 125


To solve:

(3+2)=5. *Parentheses first*

5^3 = 125
8 0
3 years ago
Read 2 more answers
In a standard normal distribution, about _________% of the scores fall above a z-score of 3.00
Katarina [22]

The normal rule to remember is 68-95-99.7, i.e. plus or minus three sigma corresponds to 99.7% of the probability. That leaves 0.3% in the two tails, or 0.15% in the tail above 3 sigma.

Answer: 0.15%


7 0
3 years ago
if there is a line and a point not on the line, then there is exactly one line through the point that intersects the given line?
arlik [135]
The answer is an intersect between both lines.
7 0
4 years ago
The authors of a paper concluded that more boys than girls listen to music at high volumes. This conclusion was based on data fr
schepotkina [342]

Answer:

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

The value of p is 0 .00233. The result is significant at p < 0.10.

Step-by-step explanation:

1) Let the null and alternate hypothesis be

H0:  μboys − μgirls > 0

against the claim

Ha: μboys − μgirls ≤ 0

2) The significance level is set at 0.01

3) The critical region is z  ≤  ± 1.28

4) The test statistic

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

Here p1= 397/768= 0.5169  and p2= 331/745=0.4429

pc = 397+331/768+745

pc= 0.4811

qc= 1-pc= 1-0.4811=0.5188

5) Calculations

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

z= 0.5169-0.4429/√ 0.4811*0.5188( 1/768+  1/745)

z= 2.82

6) Conclusion

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

7)

The value of p is 0 .00233. The result is significant at p < 0.10.

8 0
3 years ago
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