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GenaCL600 [577]
3 years ago
14

In what ways are inequalities like equations ?

Mathematics
1 answer:
solmaris [256]3 years ago
7 0

Answer:

Step-by-step explanation:

Inequalities and equations are alike in that they both involve two sides of a sign (whether it is an equal sign or an inequality sign) being compared. For example, both y = x + 2 and y > x + 2 are just ways of comparing the values of x and y.

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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}

Z = 0.59.

Z = 0.59 has a p-value of 0.7224.

1 - 0.7224 = 0.2776.

0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.

More can be learned about the normal distribution at brainly.com/question/24663213

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6 0
2 years ago
Simplify: 6y + 5z + 8y – 3z
mezya [45]
Combine like terms. 6y + 8y is 14y. 5z - 3z is 2z. so the answer is 14y + 2z.
4 0
3 years ago
Read 2 more answers
10n - 16 = 2(5n-8)] 15n + 25
Margaret [11]
The answer is 1.48226407 hope it helps
5 0
2 years ago
Read 2 more answers
PLEASE HELP! IT’S 40 POINTS! What is the area of this octagon?
Zinaida [17]

Answer:

B) 59 cm²

Step-by-step explanation:

4x8=32

2x3=6

3x7=21

32+6+21=59 cm²

3 0
3 years ago
Mark bought 3 bags of pretzels for $2.00 each. He also bought 2 bottles of juice for $1.50 each. Write an expression and find th
Agata [3.3K]

Answer:

Total Cost for Pretzels and juice is $9.

Step-by-step explanation:

Given:

Number of Bags of pretzels =3

Cost for each bag = $2.00

Total Cost of Pretzels is equal to product of Number of Bags of pretzels and Cost for each bag.

Framing in equation form we get;

Total Cost of Pretzels = 3\times 2= \$6

Also Given:

Number of Bottle of Juice = 2

Price of each bottle = $1.5

Total Cost of Juice is equal to product of Number of Bottle of Juice and Price of each bottle.

Framing in equation form we get;

Total Cost of Juice = 2\times 1.5= \$3

Total Cost of Pretzels and juice is equal to sum of Total Cost of Pretzels and Total Cost of Juice.

Total Cost of Pretzels and juice = Total Cost of Pretzels + Total Cost of Juice

Total Cost of Pretzels and juice = $6 + $3 =$9

Hence Total Cost for Pretzels and juice is $9.

5 0
3 years ago
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