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Zielflug [23.3K]
3 years ago
5

7x+5y=-13 -2x=7y+26 Solve by elimination

Mathematics
2 answers:
RSB [31]3 years ago
5 0

Answer:

Point form : (1,-4)

Equation for, : x=1, y=-4

Step-by-step explanation: Add the fractions in order to solve for the first variable. Plug this vale into the other equations in order to solve for the remaining variables.

Hope this helps you out! ☺

11Alexandr11 [23.1K]3 years ago
4 0

Answer:

Step-by-step explanation:

7x + 5y = -13 ....multiply by 2

-2x - 7y = 26 .....multiply by 7

-------------------------

14x + 10y = -26 (result of multiplying by 2)

-14x - 49y = 182 (result of multiplying by 7)

-----------------------add

-39y = 156

y = -156/39

y = -4

7x + 5y = -13

7x + 5(-4) = -13

7x - 20 = -13

7x = -13 + 20

7x = 7

x = 7/7

x = 1

check...

-2x = 7y + 26

-2(1) = 7(-4) + 26

-2 = -28 + 26

-2 = -2 (correct)...it checks out

answer is : x = 1 and y = -4 or (1,-4)

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Answer:

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Step-by-step explanation:

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3 years ago
Assume that the population of human body temperatures has a mean of 98.6 degrees F and a standard deviation of 0.62 degrees F. I
dimulka [17.4K]

Answer:

0% probability of getting a mean temperature of 98.2 degrees F or lower.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

Normal probability distribution

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}

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 98.6, \sigma = 0.62, n = 106, s = \frac{0.62}{\sqrt{106}} = 0.06

Find the probability of getting a mean temperature of 98.2 degrees F or lower.

This is the pvalue of Z when X = 98.2. So

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

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Z = -6.67 has a pvalue of 0.

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