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NikAS [45]
3 years ago
5

2x - 2y = -8 x + 2y = -1 (-3,1) O (-14, 1) (0,4) (1,5)

Mathematics
1 answer:
trasher [3.6K]3 years ago
6 0

Answer:

2x - 2y = -8

x + 2y = -1

3x = -9

x = -3

-3 + 2y = -1

2y = 2

y = 1

(-3, 1) is the solution

Step-by-step explanation:

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6 0
4 years ago
8. A company makes electronic components for TV's. 95% pass final inspection (and 5% fail and need to be fixed). 120 components
Taya2010 [7]

Using the binomial distribution, it is found that the variance of the number that pass inspection in one day is 5.7.

For each component, there are only two possible outcomes, either it passes inspection, or it does not. The probability of a component passing inspections is independent of any other component, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of <u>exactly x successes on n repeated trials, with p probability</u>, and has variance given by:

V(X) = np(1 - p)

In this problem:

  • 95% pass final inspection, hence p = 0.95
  • 120 components are inspected in one day, hence n = 120.

The variance is given by:

V(X) = np(1 - p) = 120(0.95)(0.05) = 5.7

The variance of the number that pass inspection in one day is 5.7.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

3 0
2 years ago
Consider two vectors A and B A=14i and B= -4i+8j
DaniilM [7]
Assuming \mathbf a,\mathbf b\in\mathbb R^3, you have

\mathbf a\cdot\mathbf b=(14)(-4)+(0)(8)=-56

so

((\mathbf a\cdot\mathbf b)\,\mathbf i)\cdot\mathbf a=(-56\,\mathbf i)\cdot(14\,\mathbf i)=(-56)(14)=-784

Next,

\mathbf a+\mathbf b=(14\,\mathbf i)+(-4\,\mathbf i+8\,\mathbf j)=10\,\mathbf i+8\,\mathbf j

Then

(\mathbf a+\mathbf b)\times\mathbf b=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\10&8&0\\-4&8&0\end{vmatrix}=112\,\mathbf k

((\mathbf a+\mathbf b)\times\mathbf b)\times\mathbf k=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\0&0&112\\0&0&1\end{vmatrix}=\mathbf 0
4 0
3 years ago
If the circumference of a circle is divided by the length of its diameter. whats the result
Mnenie [13.5K]

Answer:

3.14 or π  (It's the same thing)

Step-by-step explanation:

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8 0
3 years ago
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