Factor the polynomial by its greatest common monomial factor. <br> 3b^5 + 15b^4

Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.

nlexa [21]

Answer:

190 ft^2

Step-by-step explanation:

So first we need to find which equation we're using and since it's a rectangular prism we're going to use:

2Lw + 2wh + 2Lh

Now what we need to do is plug in the values

2*9*2 + 2*2*7 + 2*9*7

Now just multiply everything and then add it together.

36 + 28 + 126

Once you add everything together you get:

190

The question says to include the correct unit. It says that its feet, but we need to know if its feet squared (^2) or cubed (^3)

If it were area of the whole object, it would be cubed because it is all the area that the object takes up but since it's just the area of the surface it's going to be squared. Therefore, the answer is:

190 ft^2

4 0

3 years ago

3. A new process has been developed for applying pho toresist to 125-mm silicon wafers used in manufac turing integrated circu

dlinn [17]

Answer:

a

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

The null hypothesis is rejected

b

The 99% confidence level is $13.3930 < \mu < 13.3994$

Step-by-step explanation:

From the question we are told that

The sample size is n = 10

The population mean is $\mu = 13.4 000 \ angstroms$

The level of significance is $\alpha = 0.05$

The sample data is

13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002

Generally the sample mean is mathematically represented as

$\= x = \frac{13.3987+ 13.3957\cdots +13.4002 }{10}$

=> $\= x = 13.3962$

Generally the sample standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }$

=> $\sigma = \sqrt{\frac{ (13.3987 - 13.3962)^2 + (13.3987 - 13.3962)^2 + \cdots + (13.3987 -13.4002)^2 }{10} }$

=> $\sigma =0.0039$

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

Generally the test statistics is mathematically represented as

$z = \frac{\= x - \mu}{\frac{\sigma}{\sqrt{n} } }$

=> $z = \frac{13.3962 - 13.4000}{\frac{0.0039}{\sqrt{10} } }$

=> $z = 3.08$

Generally the p-value is mathematically represented as

$p-value = 2P( z > 3.08)$

From the z-table $P(z > 3.08)= 0.001035$

So

$p-value = 2* 0.001035$

$p-value = 0.00207$

So from the obtained value we see that

$p-value < \alpha$

Hence the null hypothesis is rejected

Consider the b question

Given that the confidence level is 99% then the level of significance is

$\alpha = (100 -99)\%$

=> $\alpha = 0.01$

Generally from the normal distribution table critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 2.58 * \frac{0.0039}{\sqrt{10} }$

=> $E = 0.00318$

Generally the 99% confidence interval is mathematically represented as

$13.3962 - 0.00318 < \mu < 13.3962 + 0.00318$

=> $13.3930 < \mu < 13.3994$

7 0

3 years ago

Document 3 The Fundamental Orders of Connecticut (1639)

IgorLugansk [536]

Answer:

.

Step-by-step explanation:

4 0

3 years ago

SOLVE FOR X please help !!!!!!!!!!!

Julli [10]

think of it as half a circle which all equals up to 180 degrees

subtract 180 degrees with 62 degrees which 62 degrees is in the problem.

180-62=118 degrees

so your answer is C) 118 degrees

hope that helped you out:)

Please mark my answer brainiest

8 0

2 years ago

1. Solve for the value of x

Tamiku [17]

Answer:

Explanation:

Line E B C Needs To Equal 180°

Create An Equation

3x + 5 + 3x + 4 + 3x + 9 = 180

Simplify Both Sides Of The Equation

(3x + 3x + 3x) + (5 + 4 + 9) = 180( Combine Like Terms)

9x + 18 = 180

Subtract 18 From Both Sides

9x + 18 − 18 = 180 − 18

9x = 162

Divide Both Sides By 9

9x / 9 = 162 / 9

7 0

3 years ago

Factor the polynomial by its greatest common monomial factor. 3b^5 + 15b^4 - 18b^7 = ?