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Sloan [31]
2 years ago
8

Point A is in Quadrant II.

Mathematics
1 answer:
Digiron [165]2 years ago
7 0

Answer:

First quadrant

Step-by-step explanation:

A is reflected to the right over the x-axis

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Question 13
PtichkaEL [24]

Answer:

  B.  30x

  D.  x(45-15)

Step-by-step explanation:

The distributive property lets you factor out the common factor of x. The sum of coefficients can be simplified to a single coefficient.

  45x -15x = x(45 -15) = 30x

5 0
2 years ago
An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concen
devlian [24]

Answer:

(a) A 95% confidence interval for the population mean is [433.36 , 448.64].

(b) A 95% upper confidence bound for the population mean is 448.64.

Step-by-step explanation:

We are given that article contained the following observations on degrees of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range:

420, 425, 427, 427, 432, 433, 434, 437, 439, 446, 447, 448, 453, 454, 465, 469.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                              P.Q.  =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean = \frac{\sum X}{n} = 441

            s = sample standard deviation = \sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }  = 14.34

            n = sample size = 16

            \mu = population mean

<em>Here for constructing a 95% confidence interval we have used One-sample t-test statistics as we don't know about population standard deviation.</em>

<em />

<u>So, 95% confidence interval for the population mean, </u>\mu<u> is ;</u>

P(-2.131 < t_1_5 < 2.131) = 0.95  {As the critical value of t at 15 degrees of

                                             freedom are -2.131 & 2.131 with P = 2.5%}  

P(-2.131 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 2.131) = 0.95

P( -2.131 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 2.131 \times {\frac{s}{\sqrt{n} } } ) = 0.95

P( \bar X-2.131 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+2.131 \times {\frac{s}{\sqrt{n} } } ) = 0.95

<u>95% confidence interval for</u> \mu = [ \bar X -2.131 \times {\frac{s}{\sqrt{n} } } , \bar X +2.131 \times {\frac{s}{\sqrt{n} } } ]

                                      = [ 441-2.131 \times {\frac{14.34}{\sqrt{16} } } , 441+2.131 \times {\frac{14.34}{\sqrt{16} } } ]

                                      = [433.36 , 448.64]

(a) Therefore, a 95% confidence interval for the population mean is [433.36 , 448.64].

The interpretation of the above interval is that we are 95% confident that the population mean will lie between 433.36 and 448.64.

(b) A 95% upper confidence bound for the population mean is 448.64 which means that we are 95% confident that the population mean will not be more than 448.64.

6 0
3 years ago
Factor to the given polynomial completely.<br><br> 4x³+24x²-288x
STatiana [176]

Answer: \Large\boxed{4x(x+12)(x-6)}

Step-by-step explanation:

<u>Given expression</u>

4x³ + 24x² - 288x

<u>Factorize 4x out from the expression</u>

4x · x² + 4x · 6x - 4x · 72

4x (x² + 6x - 72)

<u>Cross multiply to factorize the remaining polynomial expression</u>

<em>The meaning is to allow the factored product of the constant to add up to the first-degree term</em>

x             12

x             -6

<u>Combine the result</u>

\Large\boxed{4x(x+12)(x-6)}

Hope this helps!! :)

Please let me know if you have any questions

3 0
1 year ago
Read 2 more answers
Select the correct answer
Zepler [3.9K]

Answer:

number 3

Step-by-step explanation:

thats my calcue

7 0
2 years ago
Read 2 more answers
4. Which graph shows a non-proportional linear<br> relationship between x and y?<br> A.<br> В.
Ghella [55]

Answer:

I think ( b) is non proportional linear

4 0
3 years ago
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