The sum of five times a number and -6 is -2

Mathematics

2 answers:

k0ka [10]3 years ago

4 0

5n + (-6) = -2
add 6 to -2
5n = -2 + 6
5n = 4
divide both sides by 5
n = 4/5

spin [16.1K]3 years ago

3 0

Let' call the number 'M' for 'mystery number'.

The number . . . . . M

Five times the number . . . 5 M

The sum of 5 times the number and -6 . . . 5 M - 6

You said that's -2 . So I can write

5 M - 6 = -2

Add 6 to each side: 5 M = 4

Divide each side by 5 : M = 4/5 or 0.8 .

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Answer:

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And we can find this probability using the complement rule and with excel or the normal standard table:

$P(z>1.61)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(10.5,0.3)$