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Anna71 [15]
3 years ago
7

Multiply

\frac{-9i}{-3 - 9i}" align="absmiddle" class="latex-formula"> where i is the √-1
(-9i) / (-3 - 9i)
Mathematics
1 answer:
Dafna11 [192]3 years ago
7 0

You can simplify to 9i/3+9i

Multiply by 3 - 9i / 3 - 9i

You get 27i + 81 / 90

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A detachment of n soldiers must cross a wide and deep river with no bridge in sight. They notice two 12- year-old boys playing i
Vitek1552 [10]

Answer:

Steps 1 - 4 below explains it.

Step-by-step explanation:

The way that the soldiers get across the river and leave the boys in joint possession of the boat is;

1) The two 12- year - old boys will take the boat to the other side

2) Thereafter, one of the 12- year - old boys will return with the boat.

3) A soldier will now take the boat to the other side and the soldier will remain there while the other boy returns the boat.

4) Step 1 - 3 is a total of 4 trips. Thus, trip would be repeated the total of n times and the n number of soldiers would get across the river and leave the boys in joint possession of the boat after the total of 4n trips.

5 0
2 years ago
A rental company charges $15 plus $4 per hour to rent a bicycle. If Margie does not want to spend more than $27 for her rental,
serg [7]
I believe it’s 3 hours
3 0
3 years ago
Tryna figure this out
kaheart [24]

Answer:

9pi approximately 28

Step-by-step explanation:

we have the formula - pi r^2

which we know the diameter is 6 m and the surface is a semi circle

the radius is 3 so then we have pi 3^2

which becomes 9pi which is about 28.2

rounding to 28

hope this helps!!

7 0
2 years ago
Rosetta wants to estimate the percentage of people who rent their home. She surveys 250 individuals and finds that 48 rent their
Andreas93 [3]

Answer:

0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151

0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233

Step-by-step explanation:

Information given

X= 48 number of people who rent their home

n= 250 represent the sample size

\hat p =\frac{48}{250}= 0.192 represent the proportion of people who rent their home

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=\pm 1.645

The confidence interval for the mean is given by the following formula:  

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

If we replace the values obtained we got:

0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151

0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233

3 0
3 years ago
What is the total number of students in the dataset?
Allushta [10]

total number of student in the data set in the dataset is 90

5 0
2 years ago
Read 2 more answers
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