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2 years ago

If 5|2x| = 60, then what are the values of x?

Mathematics

2 answers:

liberstina [14]2 years ago

8 0

Answer:

$\huge \boxed { \boxed{x = \{6 , - 6 \}}}$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

absolute value
equation
PEMDAS

<h3>tips and formulas:</h3>

|a|=±a

<h3>let's solve:</h3>

$\sf divide \: bothe \: sides \: by \: 5 : \\ \frac{ 5|2x| }{5} = \frac{60}{5} \\ |2x| = 12$
$\sf seperate \: the \: equation \:in \: 2 \:parts : \\ \begin{cases}2x = 12 \\ \: 2x = - 12\end{cases}$
$\sf \: di vide \: both \: sides \: by \: 2 : \\ \begin{cases} \frac{2x}{2} = \frac{12}{2} \\ \: \frac{2x}{2} = \frac{ - 12}{2} \end{cases} \\ \therefore x = \{6 , - 6 \}$

Lina20 [59]2 years ago

3 0

I got x is equal to 6,-6

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Pat has more than twice as much money as Billy, "b". Pat has $50, how much does Billy have?

s344n2d4d5 [400]

$10 because you divide 50 by 5 and you get 10

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2 years ago

Answer the question

Mandarinka [93]

Answer:36

Step-by-step explanation:

6 x 12 = 72, then halved, which leaves you with 36

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3 years ago

Franco freezes the vegetables he grows in the summer so he can eat them all year long. He packs the vegetables into cube-shaped

mote1985 [20]

Answer:

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Step-by-step explanation:

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4 0

3 years ago

10.

Kay [80]

Answer:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

Step-by-step explanation:

Information provided

$\bar X=32.1$ represent the sample mean

$\mu$ population mean

s=2.4 represent the sample standard deviation

n=83 represent the sample size

Confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The degrees of freedom are given by:

$df=n-1=83-1=82$

The Confidence is given by 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , the critical values for this case are:

$\chi^2_{\alpha/2}=62.132$

$\chi^2_{1- \alpha/2}=104.139$

And replacing into the formula for the interval we got:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

3 0

3 years ago

Given the coordinates A (5, 7, -2) and B (8, 3, 4) in 3d space, express AB as:

lys-0071 [83]

The vector AB is found by subtracting the coordinates of point B from the coordinates of point A => (8, 3, 4) - (5, 7, - 2)

(8, 3, 4) - (5, 7, - 2) = (3, - 4, 6)

=>

a) a 3 x 1 column =

| 3 |
| -4 |
| 6 |

b) xi + yj + zk

=> 3i - 4j + 6k

4 0

3 years ago

If 5|2x| = 60, then what are the values of x?​

If 5|2x| = 60, then what are the values of x?