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2 years ago

Factorize completely 3ac+6ab-15a

Mathematics

2 answers:

pogonyaev2 years ago

8 0

Answer:

3a(c + 2b - 5)

Step-by-step explanation:

Vanyuwa [196]2 years ago

6 0

Step-by-step explanation: The greatest common factor for the 3 terms here is 3a so factor out a 3a and what we're left with inside the parentheses is each of the terms in the original polynomial divided by 3a.

So we have 3a(c + 2b - 5) which is our final answer.

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GIVING 20 POINTS If a=4 b=8 c=2 d=7 e=3 f=9 g=10 What does bc-c³ equal?

kozerog [31]

Answer:

Step-by-step explanation:

b=8

c=2

(8)(2)-(2)^3 = 16-8 =8

6 0

3 years ago

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F(-4,5), G(3,3), H(6,-4) and I(-1,-2).

lisabon 2012 [21]

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4 0

3 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

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

So, 95% confidence interval for the population mean, $\mu$ is ;

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

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

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

= [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

What is the answer??

Alchen [17]

Answer: 7.8 ⋅ $10^{4}$

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

7.8 ⋅ $10^{4}$

4 0

3 years ago

The exterior angle of a certain regular polygon is 60°. How many sides does the polygon have?.

givi [52]

<h3>Answer: 6</h3>

Work Shown:

E = exterior angle = 60 degrees

n = number of sides of the regular polygon

n = 360/E

n = 360/60

n = 6

The regular polygon has 6 sides.

3 0

2 years ago

Factorize completely 3ac+6ab-15a​

Factorize completely 3ac+6ab-15a