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denis23 [38]
3 years ago
9

solve this system of linear equations. separate the x- and y- values with a comma. 6x +5y=-19 12x-8y=52

Mathematics
1 answer:
Ymorist [56]3 years ago
8 0

ANSWER

The solution is

(x,y)=(1,-5)

EXPLANATION

The equations are:

1st equation: 6x +5y=-19

2nd equation: 12x-8y=52

Multiply the first equation by 2:

3rd equation: 12x +10y=-38

Subtracy the 2nd equation from the 3rd equations.

12x-12x+10y--8y=-38-52

18y=-90

Divide both sides by 18.

y=-5

Put y=-5 into any of the equations and solve for x.

Preferably, the first equation will do.

6x +5(-5)=-19

6x -25=-19

6x=25-19

6x=6

x=1

The solution is

(x,y)=(1,-5)

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Let the length be l
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3 years ago
On average, it takes a shoe factory 21 minutes, with a standard deviation of 3 minutes, to manufacture a pair of running shoes.
algol13

Answer:

The number of times it would take more than 27 minutes to manufacture a pair of running shoes is 2.275 times or approximately 2 times per every 100 shoes

Step-by-step explanation:

The average time it takes to manufacture a pair of shoes = 21 minutes;

The standard deviation = 3 minutes

To find how often it takes more than 27 minutes to manufacture a pair of running shoes, we have;

Standard score, given as follows;

Z=\dfrac{x-\mu }{\sigma }

Where;

x = The raw score = 27 minutes

μ = The average score = 21 minutes

σ = The standard deviation = 3 minutes

From which we have;

Z=\dfrac{27-21 }{3 } = 2

Therefore, it is borderline unusual with a p value of P(z>2) = 1 - 0.97725 = 0.02275

Therefore, the number of times out of 100 that it would take more than 27 minutes to manufacture a pair of running shoes = 100 × 0.02275 = 2.275 times which is approximately 2 times in every 100 shoes.

7 0
4 years ago
A spinner is divided into four sections of equal size, numbered 1, 2, 3, and 4. You spin it three times, and get 1, 4, and 3. Wh
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Answer:

hello your question lacks the required statements here are the statements

A spinner is divided into four sections of equal size, numbered 1, 2, 3, and 4. You spin it three times, and get 1, 4, and 3. Which statement is FALSE?

A. The theoretical probability of a 1 is 25%.

B. The experimental probability of a 1 is 25%.

C. If you spin the same spinner again and get different results, the experimental probabilities are different, but the theoretical probabilities have not changed.

D. The experimental probability of a 2 is 0%.

Answer : The experimental probability of a 1 is 25%  ( B )

Step-by-step explanation:

The first statement is true because since the spinner is divided into 4 sections  the theoretical probabilty is equal for all sections i.e 25% each

The second statement is false because after spinning the spinner three times ( experimental ) the results obtained were 1,4,3 hence the experimental probability of 1 would be 33.3%

the theoretical probabilities remains unchanged but the experimental probabilty can change

the experimental probabilty of 2 is 0% because after the 3 experiments the number 2 did not show up

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