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AleksAgata [21]
3 years ago
6

30 points 1 question PLEASE HELP ME OUT I REALLY NEED IT

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
6 0

Answer:

p(-5/3) ≠  0 So, (3 x +5) is NOT A FACTOR of p(x)

Step-by-step explanation:

Here, the given function is p(x)=3x^5+2x^2 - 5

Now, the given root of the function is ( 3x +5)

Now, if ( 3 x +  5) = 0,

we get x = - 5/3

So, the zero of the given polynomial is x = -5/3

Then,  x = -5/3, p(x)  =0 ⇒   ( 3 x + 5) is a FACTOR of p(x)

Now, let us find the value of function at x = -5/3

Substitute x = -5/3 in the given function p(x), we get:

p(x)=3x^5+2x^2 - 5  \implies p(\frac{-5}{3})  = 3(\frac{-5}{3})^5 + 2(\frac{-5}{3})^2 - 5\\= 3(\frac{-3,125}{243}) + 2(\frac{25}{9})  - 5\\= (\frac{-3,125}{81}) + (\frac{50}{9})  - 5\\= -38.580 + 5.56  - 5  =  -38.02\\\implies p(\frac{-5}{3})  = -38.02

Now, as p(-5/3) ≠  0 So, (3x +5) is NOT A FACTOR of p(x)

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A cube has a volume of 2197 m^3. Its surface is to be painted. Each can of paint covers about 40 m^2. How many cans of paint are
Gelneren [198K]
<em>Volume= a³</em>
<em>a=edge</em>
<em>2197 = a³</em>
<em>=> a=13 m</em>
<em>Surface area=6a²=6*13²=6*169=1014 m²</em>
<em>\frac{1014}{40} = 25,35 ≈ 26</em>
<em>=> <u>26 cans needed</u></em>
8 0
3 years ago
Help with #15 please
jonny [76]

Answer:

3 gallons of carpet shampoo

Step-by-step explanation:

room area: 16 * 15 = 240 ft

1 gallon carpet shampoo: 80 ft

240/80 = 3

3 gallons of carpet shampoo are needed.

6 0
3 years ago
An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by th
monitta

Answer:

a) n =1623

b) ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208    

Step-by-step explanation:

1) Notation and definitions

n random sample taken

\hat p=0.19 estimated proportion of customers are not satisfied with the service provided by the local dealer

Confidence =0.96 or 96%

Me= 0.02 represent the margin of error

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Part a

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 96% of confidence, our significance level would be given by \alpha=1-0.96=0.04 and \alpha/2 =0.02. And the critical value would be given by:

z_{\alpha/2}=-2.0538, z_{1-\alpha/2}=2.0538

The margin of error for the proportion interval is given by this formula:  

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

And on this case we have that ME =\pm 0.02 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.19(1-0.19)}{(\frac{0.02}{2.0538})^2}=1622.912  

And rounded up we have that n=1623

Part b

The margin of error is given by:

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

So then if w replace the value of n obtained from part a we got:

ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208    

3 0
3 years ago
Greenfield village is spread across 240 acres of land. Only 37% of the land is used for the exhibits, while the rest of the land
Sergeeva-Olga [200]

Answer:

The land which are used for exhibits are <u>89 acres</u> (approximately).

Step-by-step explanation:

Given:

Village is spread across 240 acres of land. 37%  of land is used for the exhibits.

Now, we have to find acres of land which are used for exhibits.

So, here it is given that land used for exhibits is 37%, and we have to calculate the quantity from the percentage given:

According to question:

37% of 240 acres of land.

\frac{37}{100}\times 240

0.37\times 240

88.80

So, the land used for exhibits are 88.80 acres.

Therefore, the land which are used for exhibits are <u>89 acres </u>(approximately).

5 0
3 years ago
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stich3 [128]

Step-by-step explanation:

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7 0
2 years ago
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