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3 years ago

X =4 x+y=-6 4x - 3y + 2z = 26

Mathematics

1 answer:

slega [8]3 years ago

6 0

Answer:

x = 4 ,y = -10 , z = -10

Step-by-step explanation:

Solve the following system:

{y + 4 = -6 | (equation 1)

16 - 3 y + 2 z = 26 | (equation 2)

Express the system in standard form:

{y+0 z = -10 | (equation 1)

-(3 y) + 2 z = 10 | (equation 2)

Swap equation 1 with equation 2:

{-(3 y) + 2 z = 10 | (equation 1)

y+0 z = -10 | (equation 2)

Add 1/3 × (equation 1) to equation 2:

{-(3 y) + 2 z = 10 | (equation 1)

0 y+(2 z)/3 = (-20)/3 | (equation 2)

Multiply equation 2 by 3/2:

{-(3 y) + 2 z = 10 | (equation 1)

0 y+z = -10 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{-(3 y)+0 z = 30 | (equation 1)

0 y+z = -10 | (equation 2)

Divide equation 1 by -3:

{y+0 z = -10 | (equation 1)

0 y+z = -10 | (equation 2)

Collect results:

Answer: y = -10 , z = -10

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3 years ago

X+8=17 what is the value of x makes the sentece true

melisa1 [442]

Answer:

x = 9

Step-by-step explanation:

Step 1: Write equation

x + 8 = 17

Step 2: Solve for <em>x</em>

Subtract 8 on both sides: x = 9

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

9 + 8 = 17

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7 0

3 years ago

In a certain clinical study, 15% of participants were classified as heavy smokers, 25% as light-smokers, and the rest as non-smo

Natasha_Volkova [10]

Answer:

There is a 28.57% probability that a randomly selected participant who died by the end of the study was a non-smoker.

Step-by-step explanation:

We have the following probabilities:

A 15% probability that a participant is classified as a heavy smoker.

A 25% probability that a participant is classified as a light smoker.

A 100% - 25% - 15% = 60% probability that a participant is classified as a non smoker.

A x% probability that a non smoker dies.

A 3x% probability that a light smoker dies.

A 5x% probability that a heavy smoker dies.

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

This problem is:

What is the probability of the participant being a non-smoker, given that he died?

P(B) is the probability that the participant is a non smoker. So

$P(B) = 0.6$