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yuradex [85]
3 years ago
13

Rewrite the following expression using the properties of logarithms. log2z+2log2x+4log9y+12log9x−2log2y You must show all of you

r work to receive credit.

Mathematics
1 answer:
mr Goodwill [35]3 years ago
6 0

Answer:

53437.3639

Step-by-step explanation:

23y5o9-023.36839637836386378673676763767678362

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An advertising agency that serves a major radio station wants to estimate the mean amount of time the station’s audience members
Flura [38]

Answer:

n=(\frac{1.645(45)}{5})^2 =219.18 \approx 220

So the answer for this case would be n=220 rounded up to the nearest integer

Step-by-step explanation:

Information given

\sigma = 45 represent the population deviation

ME = 5 represent the margin of error

The margin of error for the true mean is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (4) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 90% of confidence interval now can be founded using the normal distribution. The significance level is \alpha=1-0.9=0.1 and the critical value would be z_{\alpha/2}=1.645, replacing into formula (b) we got:

n=(\frac{1.645(45)}{5})^2 =219.18 \approx 220

So the answer for this case would be n=220 rounded up to the nearest integer

5 0
3 years ago
Read 2 more answers
4x + 6 - x = 7 + 2 x
rodikova [14]

Answer:

x = 1

Step-by-step explanation:

4x + 6 - x = 7 + 2x

3x + 6 = 7 + 2x

3x - 2x = 7 - 6

x = 1

8 0
3 years ago
Read 2 more answers
Please help and explain.
Ludmilka [50]

Answer:

It standard form is 25000

4 0
2 years ago
Read 2 more answers
Paulo can run a marathon in four hours and 20 minutes. If he's able to cut of 18% of his time, how long will it take him to run
Inga [223]
Cut out 18%
100=all,
all-cut out=remaining
100-18=82

4hrs 20mins=240+20mins=260mins
82% of 260 is 0.82*20=213.2=3 hours and 33.2 minutes

he can runi s 3 hours and 33.2 minutes
7 0
3 years ago
12. Determine the area of the shaded region. 12 in 12 in​
vekshin1

Answer:

  • 216/7 in²

Step-by-step explanation:

<u>We know that:</u>

  • Area of shaded region = Area of square - Area of circles
  • Radius of circle = 3 in
  • Area of circle = πr²
  • Area of square = s²

<u>Solution:</u>

  • Area of shaded region = Area of square - Area of circles
  • => Area of shaded region = (12²) - 4(22/7 x 3 x 3)
  • => Area of shaded region = (144) - 4(22/7 x 9)
  • => Area of shaded region = (144) - 4(198/7)
  • => Area of shaded region = 144 - 792/7
  • => Area of shaded region = 144 x 7/7 - 792/7
  • => Area of shaded region = 1008/7 - 792/7
  • => Area of shaded region = 1008/7 - 792/7
  • => Area of shaded region = 216/7 in²
3 0
3 years ago
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