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katovenus [111]
3 years ago
15

How to simplify this expression??

Mathematics
1 answer:
slega [8]3 years ago
8 0

Answer :

\frac{2 {x}^{3}  + 7 {x}^{2}  + 3x - 4}{ {x}^{3}  + 3 {x}^{2}  + x - 1}

Step-by-step-explanation :

I did the explanation in the picture.

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The student body President of a high school claims to know the names of at least 1000 of the 1800 students at the school. To tes
hoa [83]

Answer:

The 99% confidence interval for p in this case is (0.3317, 0.5883).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

Randomly selects 100 students from the school and asks the President to name each one. The President is able to correctly name 46 of the students.

This means that:

n = 100, \pi = \frac{46}{100} = 0.46

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.46 - 2.575\sqrt{\frac{0.46*0.54}{100}} = 0.3317

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.46 + 2.575\sqrt{\frac{0.46*0.54}{100}} = 0.5883

The 99% confidence interval for p in this case is (0.3317, 0.5883).

4 0
2 years ago
Standard sheet of paper in the United States is 11 inches long and 8.5 inches wide. Each inch is 2.54 cm. How long and wide is a
Virty [35]
27.94 cm long, 21.59 long :]
3 0
3 years ago
•Use the Pythagorean Theorem c^6 = a2+ b2 •Show you work to find each missing side •
zhannawk [14.2K]

Answer:

hypotenuse = 10

Step-by-step explanation:

If you can tell at first glance it is a 3,4,5 triangle (6,8,10)/2=(3,4,5). Then you know that c has to equal 5.

If not,

a^2+b^2=c^2

6^2+8^2=c^2

36+64=c^2

100=c^2

10=c

6 0
3 years ago
PLEASE HELP ASAP!!! THIS IS MY LAST QUESTION!! SHOW WORK!! DUE IN 5 MINS
IrinaK [193]

Answer:

Show questions

Step-by-step explanation:

common sense

4 0
2 years ago
The shaded portion of the grid below represents the portion of a granola bar remaining.
Nady [450]

Answer:

A. 1%

B. 80%

C. 0.8, 8/10

Step-by-step explanation:

A. There are 100 blocks so each block is 1/100 which is 1%

B. As you can see, there are 80 blocks shaded so that would be 80/100 which is 80%

C. You can represent a percent as a decimal or a fraction

Hope this helped!

8 0
3 years ago
Read 2 more answers
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