What would be the answer to 4j + j - 4 < -9

Mathematics

2 answers:

ycow [4]3 years ago

8 0

Answer:

The simplified inequality for your question is j < -1.

Step-by-step explanation:

Solve this inquality like you do when you solve a equation.

4j + j - 4 < -9 Combine like terms

5j -4 < -9 Add 4 on both sides

5j < -5 Isolate the variable by dividing 5 on both sides

j < -1

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Tresset [83]3 years ago

6 0

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How many significant figures are in the number 12.001?

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3 years ago

Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a variance of 4,000,000 and a mean

In-s [12.5K]

Using the normal distribution, it is found that there is a 0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 19000, \sigma = \sqrt{4000000} = 2000$

The probability that the life span of the monitor will be more than 20,179 hours is <u>one subtracted by the p-value of Z when X = 20179</u>, hence:

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

$Z = \frac{20179 - 19000}{2000}$