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3 years ago

Solve the equation. Check your answer. 6x - 3= 5x +5 X=

Mathematics

1 answer:

ZanzabumX [31]3 years ago

5 0

Answer:

x = 8

Step-by-step explanation:

6x - 3 = 5x + 5

Move variable to the left hand side and change their sign.

$\sf \: 6x - 5x - 3 = 5$

Calculate like terms.

x - 3 = 5.

Move constant to the right hand side and change their sign.

x = 5 + 3
x = 8

<u>Check our answer :-</u>

6x -3 = 5x + 5

plug the 8 as x.

6 ( 8 ) - 3 = 5 ( 8 ) + 5
48 - 3 = 40 + 5
45 = 45

LHS = RHS

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Part A.
You need two equations with the same slope and different y-intercepts.
Their graph is parallel lines. Since the lines do not intersect, there is no solution.

y = 2x + 2
y = 2x - 2

Part B.
We use the first equation as above. For the second equation, we use an equation with different slope. Two lines with different slopes always intersect.

y = 2x + 2
y = -2x - 2

In the second equation, y = -2x - 2. We now substitute -2x - 2 for y in the first equation.

-2x - 2 = 2x + 2

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x = -1

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y = 2x + 2

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3 years ago

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3 years ago

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3 years ago

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Answer:

It is 185 mi to fort Worth van drives 2 hours at 65 mph how far will he be from fort Worth

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:

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