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3 years ago

-2x <-12 solve the inequality

Mathematics

2 answers:

insens350 [35]3 years ago

4 0

Answer:

x > 6

Step-by-step explanation:

Solve -2x <-12 for x. Your answer must be a set of real numbers.

Divide both sides by -2. Note that if we here divide by a negative number, we must reverse the direction of the inequality symbol:

-2x < - 12

----- ------

-2 -2

This becomes x > 6, "the solution set"

Scorpion4ik [409]3 years ago

3 0

Answer:

x > 6

Step-by-step explanation:

-2x < -12

divide by -2

switch signs because you're dividing by a negative number

-2x/-2 < -12/-2

x > 6

Hope this helps :)

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2 years ago

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4 0

3 years ago

The amount of money spent on textbooks per year for students is approximately normal.

Ostrovityanka [42]

Answer:a

$336.04 < \mu < 443.96$

The margin of error will increase

The margin of error will decreases

The 99% confidence interval is $0.4107 < p < 0.4293$

Step-by-step explanation:

From the question we are told that

The sample size $n = 19$

The sample mean is $\= x = \$\ 390$

The standard deviation is $\sigma = \$ \ 120$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = 100 - 95$

$\alpha = 5 \%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

$Z_{\frac{\alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 1.96 * \frac{120}{\sqrt{19} }$

=> $E = 53.96$

The 95% confidence interval is

$\= x - E < \mu < \= x + E$

=> $390 - 53.96 < \mu < 390 - 53.96$

=> $336.04 < \mu < 443.96$

When the confidence level increases the $Z_{\frac{\alpha }{2} }$ also increases which increases the margin of error hence the confidence level becomes wider