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3 years ago

How do i factor 12b^2+14b-10 using one of the six techniques for factoring polynomials?

Mathematics

1 answer:

Firlakuza [10]3 years ago

4 0

Simplifying

b2 + 12b + 35 = 0

Reorder the terms:

35 + 12b + b2 = 0

Solving

35 + 12b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.

(7 + b)(5 + b) = 0

Subproblem 1

Set the factor '(7 + b)' equal to zero and attempt to solve:

Simplifying

7 + b = 0

Solving

7 + b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + b = 0 + -7

Combine like terms: 7 + -7 = 0

0 + b = 0 + -7

b = 0 + -7

Combine like terms: 0 + -7 = -7

b = -7

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In a certain computer, the probability of a memory failure is 0.01, while the probability of a hard disk failure is 0.02. If the

ratelena [41]

Answer:

We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

$P(A \cap B) = P(A) *P(B)$

For this case we have that:

$P(A) *P(B) = 0.01*0.02= 0.0002$

And we see that $0.0002 \neq P(A \cap B)$

So then we can conclude that the two events given are not independent and have a relationship or dependence.

Step-by-step explanation:

For this case we can define the following events:

A= In a certain computer a memory failure

B= In a certain computer a hard disk failure

We have the probability for the two events given on this case:

$P(A) = 0.01 , P(B) = 0.02$

We also know the probability that the memory and the hard drive fail simultaneously given by:

$P(A \cap B) = 0.0014$

And we want to check if the two events are independent.

We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

$P(A \cap B) = P(A) *P(B)$

For this case we have that:

$P(A) *P(B) = 0.01*0.02= 0.0002$

And we see that $0.0002 \neq P(A \cap B)$

So then we can conclude that the two events given are not independent and have a relationship or dependence.

8 0

3 years ago

Standard Error from a Formula and a Bootstrap Distribution Sample A has a count of 30 successes with and Sample B has a count of

tia_tia [17]

Answer:

Using a formula, the standard error is: 0.052

Using bootstrap, the standard error is: 0.050

Comparison:

The calculated standard error using the formula is greater than the standard error using bootstrap

Step-by-step explanation:

Given

Sample A Sample B

$x_A = 30$ $x_B = 50$

$n_A = 100$ $n_B =250$

Solving (a): Standard error using formula

First, calculate the proportion of A

$p_A = \frac{x_A}{n_A}$

$p_A = \frac{30}{100}$

$p_A = 0.30$

The proportion of B

$p_B = \frac{x_B}{n_B}$

$p_B = \frac{50}{250}$

$p_B = 0.20$

The standard error is:

$SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.30 * (1 - 0.30)}{100} + \frac{0.20* (1 - 0.20)}{250}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.30 * 0.70}{100} + \frac{0.20* 0.80}{250}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.21}{100} + \frac{0.16}{250}}$

$SE_{p_A-p_B} = \sqrt{0.0021+ 0.00064}$

$SE_{p_A-p_B} = \sqrt{0.00274}$

$SE_{p_A-p_B} = 0.052$

Solving (a): Standard error using bootstrapping.

Following the below steps.

Open Statkey
Under Randomization Hypothesis Tests, select Test for Difference in Proportions
Click on Edit data, enter the appropriate data
Click on ok to generate samples
Click on Generate 1000 samples ---- see attachment for the generated data

From the randomization sample, we have:

Sample A Sample B

$x_A = 23$ $x_B = 57$

$n_A = 100$ $n_B =250$

$p_A = 0.230$ $p_A = 0.228$

So, we have:

$SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.23 * (1 - 0.23)}{100} + \frac{0.228* (1 - 0.228)}{250}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.1771}{100} + \frac{0.176016}{250}}$

$SE_{p_A-p_B} = \sqrt{0.001771 + 0.000704064}$

$SE_{p_A-p_B} = \sqrt{0.002475064}$

$SE_{p_A-p_B} = 0.050$

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3 years ago

Help pleasee , thank you so much in advance

Tanzania [10]

Pretty sure the answer would be 32. It’s basic subtraction I think.

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3 years ago

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(a+b-c)-(b-a-c) I NEED IT RN FOR A TEST OR ELSE I AM DEAD FOR LIFE

Zepler [3.9K]

Answer:

Step-by-step explanation:

(a+b-c)-(b-a-c)

= a + b - c - b + a + c

= a + a + b - b - c + c

= 2a (Ans)

5 0

3 years ago

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Andy is hanging wallpaper in his kitchen. He is able to cover of the walls in the room using 6 rolls of wallpaper. What is the n

Alchen [17]

Answer: Andy covers all the walls of his kitchen using 6 rolls of a wallpaper.

To Find:

Number of rolls used per wall.

Solution:

Since, we know that the shape of a kitchen is a cuboid.

And a cuboid has total 6 faces, with 4 walls, one roof and one floor.

So, total number of walls in Andy's kitchen = 4

Now, it is given that he uses 6 rolls of wallpaper to cover 4 walls completely.

In order to find the number of rolls used per wall, we'll have to divide the total number of rolls used with the total number of walls.

Number of rolls used per wall =

So, 1.5 rolls are used to cover one wall.

Step-by-step explanation:

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2 years ago

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