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ololo11 [35]
4 years ago
13

Solve for x: 3x − 2 > 5x + 10. x > 6 x < 6 x < −6 x > −6

Mathematics
2 answers:
kirza4 [7]4 years ago
6 0

Answer:

x < −6

Step-by-step explanation:

In inequalities, the division by a negative number results in change of the sign. That is from less than to greater than and vice versa.

Therefore,

3x − 2 > 5x + 10.

= 3x - 5x > 2 +10

= -2x > 12

= x < -6

The sign changes as defined above.

Elenna [48]4 years ago
4 0

Answer:

x < -6

Step-by-step explanation:

3x − 2 > 5x + 10

<=> 5x + 10 < 3x -2

<=> 5x - 3x < - 2 - 10

<=> 2x < -12

<=> x < -12/2

=> x < -6

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A random sample of 28 statistics tutorials was selected from the past 5 years and the percentage of students absent from each on
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Answer:

Step-by-step explanation:

Hello!

X: number of absences per tutorial per student over the past 5 years(percentage)

X≈N(μ;σ²)

You have to construct a 90% to estimate the population mean of the percentage of absences per tutorial of the students over the past 5 years.

The formula for the CI is:

X[bar] ± Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }

⇒ The population standard deviation is unknown and since the distribution is approximate, I'll use the estimation of the standard deviation in place of the population parameter.

Number of Absences 13.9 16.4 12.3 13.2 8.4 4.4 10.3 8.8 4.8 10.9 15.9 9.7 4.5 11.5 5.7 10.8 9.7 8.2 10.3 12.2 10.6 16.2 15.2 1.7 11.7 11.9 10.0 12.4

X[bar]= 10.41

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