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2 years ago

How do you find the fist step to solving the system of equations x+y=8 and 3x-2y=-6

Mathematics

1 answer:

Whitepunk [10]2 years ago

4 0

Answer:

The first stpe in solving this system of equations is finding either X or Y in terms of the other variable. Ex: x = 8 - y or y = 8 - x

Step-by-step explanation:

When faced with a system of equations problem, you need to find one variable at a time. To do this, you need to eliminate one of the variables from one of the equations. I used x + y = 8 because that was simplier to find one of the variables from. From there, you can substitute that in for the variabel in the secone equation.

3x - 2y = -6

3x - 2(8 - x) = -6

3x - 16 + 2x = -6

5x - 16 = -6

5x = 10

x = 2

Than you can use that and plug it back into one of the original equations to find the other variable.

x + y = 8

2 + y = 8

y = 6

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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

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

$Z = \frac{98.2 - 98.6}{0.06}$

$Z = -6.67$

$Z = -6.67$ has a pvalue of 0.

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

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3 years ago

Express<br> ln3+2lnx <br> as a single logarithm

Naily [24]

Answer:

ln (3x^2)

Step-by-step explanation:

ln3 + 2ln(x)

= ln3 + ln(x^2)

= ln (3x^2)

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3 years ago

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NemiM [27]

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deff fn [24]

Hi!

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4 years ago

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