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3 years ago

0.4(2x + 0.3) = 1/3 (6x - 7.2)

Mathematics

2 answers:

GenaCL600 [577]3 years ago

5 0

What are u looking for ?

Hitman42 [59]3 years ago

4 0

Answer:

x = 20.1

Step-by-step explanation:

First up you need to multipy the numbers on the outside with the ones on the inside

This would mean that

0.4(2x + 0.3) = 1/3(6x - 7.2) will change to

0.8x + 0.12 = 2x - 2.4

You just have to solve for x now:

2.4 + 0.12 = 2x - 0.8x

2.52 = 1.2x

x = 2.1

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lana66690 [7]

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F. - 4

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3 years ago

How would I solve the equations: y = x-4 and y=x^2-4x using substitution

andriy [413]

Answer:

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Explanation:

y = x - 4

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3 years ago

Read 2 more answers

Suppose on a certain planet that a rare substance known as Raritanium can be found in some of the rocks. A raritanium-detector i

aleksandrvk [35]

Answer:

0.967 = 96.7% probability the rock sample actually contains raritanium

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive reading

Event B: Contains raritanium

Probability of a positive reading:

98% of 13%(positive when there is raritanium).

0.5% of 100-13 = 87%(false positive, positive when there is no raritanium). So

$P(A) = 0.98*0.13 + 0.005*0.87 = 0.13175$

Positive when there is raritanium:

98% of 13%

$P(A) = 0.98*0.13 = 0.1274$

What is the probability the rock sample actually contains raritanium?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1274}{0.13175} = 0.967$

0.967 = 96.7% probability the rock sample actually contains raritanium

7 0

2 years ago

Find two matrices A and B such that 2A-3B= [5 0

amm1812

The easy answer: If, say, B is the zero matrix, i.e.

$B=\begin{bmatrix}0&0\\0&0\end{bmatrix}$

then

$2A=\begin{bmatrix}5&0\\-1&2\end{bmatrix}\implies A=\begin{bmatrix}\dfrac52&0\\\\-\dfrac12&1\end{bmatrix}$

3 0

3 years ago