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bezimeni [28]
2 years ago
6

5. Solve the system: x + 3y = -5 5x - 2y = 9

Mathematics
2 answers:
kow [346]2 years ago
8 0

Answer:

(1, - 2 )

Step-by-step explanation:

x + 3y = - 5 → (1)

5x - 2y = 9 → (2)

multiplying (1) by - 5 and adding to (2) will eliminate x

- 5x - 15y = 25 → (3)

add (2) and (3) term by term to eliminate x

0 - 17y = 34

- 17y = - 34 ( divide both sides by - 17 )

y = - 2

substitute y = - 2 into either of the 2 equations and solve for x

substituting into (1)

x + 3(- 2) = - 5

x - 6 = - 5 ( add 6 to both sides )

x = 1

solution is (1, - 2 )

goldenfox [79]2 years ago
5 0

Answer:

Step-by-step explanation:

x=1

y= -2

See step by step explanation below:

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The line width used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a st
Alinara [238K]

Answer:

There is a 0.82% probability that a line width is greater than 0.62 micrometer.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.

In this problem

The line width used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a standard deviation of 0.05 micrometer, so \mu = 0.5, \sigma = 0.05.

What is the probability that a line width is greater than 0.62 micrometer?

That is P(X > 0.62)

So

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.62 - 0.5}{0.05}

Z = 2.4

Z = 2.4 has a pvalue of 0.99180.

This means that P(X \leq 0.62) = 0.99180.

We also have that

P(X \leq 0.62) + P(X > 0.62) = 1

P(X > 0.62) = 1 - 0.99180 = 0.0082

There is a 0.82% probability that a line width is greater than 0.62 micrometer.

3 0
3 years ago
What is 76.3 rounded to the nearest whole number
MatroZZZ [7]
76.
If the number after the decimal is below five, you round down. If the number is above five, you round up. 76 is your answer.
6 0
3 years ago
Multiply. (2.5 times 10^-8) (9 times 10^-10)
Lorico [155]

The complete answer is 2.25E-17

but I think it may be A

8 0
3 years ago
Solve
NISA [10]

Answer:

r = 0.01

Step-by-step explanation:

In order to find r we have to square both sides of the equation

0.1 =  \sqrt{r} \\  {0.1}^{2}  =  { \sqrt{r} }^{2}

The *square root* sign cancels out the *squared* sign therefore:

{0.1}^{2}  = r \\ 0.01 = r

6 0
2 years ago
I need help with this
adoni [48]
Answer is D
Mark me the brainliest
6 0
3 years ago
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