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Katen [24]
3 years ago
7

3. Solve the given inequality and graph the solution on a number line

Mathematics
1 answer:
hodyreva [135]3 years ago
4 0

: -x/2+3/2<5/2=x>-2

-x/2+3/2-3/2= -x/2<5/2-3/2=1

-x/2<1

-x/2/2= -x<1/2

-x can be transformed into -1/2x

-1/2x / -1/2=x

1/-1/2=-2

<span>x>-2 </span>

<span>Mark me as brainliest plz!!!</span>

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Pachacha [2.7K]

Answer: How many greeting cards he sells

Step-by-step explanation:

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3 0
3 years ago
Ask Your Teacher The level of nitrogen oxides (NOX) in the exhaust after 50,000 miles or fewer of driving of cars of a particula
Georgia [21]

Answer:

The level is L = 0.084

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central limit theorem:

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

In this problem, we have that:

\mu = 0.08, \sigma = 0.01, n = 36, s = \frac{0.01}{\sqrt{36}} = 0.0017

What is the level L such that the probability that the average NOX level x for the fleet is greater than L is only 0.01?

This is X when Z has a pvalue of 1-0.01 = 0.99. So it is X when Z = 2.325.

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

By the Central limit theorem

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

2.325 = \frac{X - 0.08}{0.0017}

X - 0.08 = 2.325*0.0017

X = 0.084

The level is L = 0.084

4 0
4 years ago
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creativ13 [48]
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so it would short it down because of cobine like terms -6p-78
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3 years ago
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agasfer [191]

Answer:

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Step-by-step explanation:

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