Which is not equivalent to the equation P=2L+2W

Find the value of the expression |2x−8| where x=−2.5; 0; 4; 5; 9.5.

Lelu [443]

The absolute value $|x|$ returns the "positive version" of a number. In other words, if $x$ is already positive, then $|x|=x$ . Otherwise, if $x$ is negative, then the absolute value changes its sign, so that it returns positive: $|x|=-x$ .

So, in this case, we have to plug the required values for $x$ in the expression $2x-8$ . Then, if the result is positive we're ok, otherwise we discard the negative sign.

We have:

$x=-2.5 \implies |2x-8| = |-5-8|=|-13|=13$

$x=0 \implies |2x-8| = |0-8|=|-8|=8$

$x=4 \implies |2x-8| = |8-8|=|0|=0$

$x=5 \implies |2x-8| = |10-8|=|2|=2$

$x=9.5 \implies |2x-8| = |19-8|=|11|=11$

5 0

3 years ago

Find the value of x 3x+6 41 6x-5 4x+7 62 7x-11

padilas [110]

Answer:

13

Step-by-step explanation:

Simplifying

3x + 6 + 7x + -11 + 41 + 62 + 6x + -5 + 4x + 7 = 360

Reorder the terms:

6 + -11 + 41 + 62 + -5 + 7 + 3x + 7x + 6x + 4x = 360

Combine like terms: 6 + -11 = -5

-5 + 41 + 62 + -5 + 7 + 3x + 7x + 6x + 4x = 360

Combine like terms: -5 + 41 = 36

36 + 62 + -5 + 7 + 3x + 7x + 6x + 4x = 360

Combine like terms: 36 + 62 = 98

98 + -5 + 7 + 3x + 7x + 6x + 4x = 360

Combine like terms: 98 + -5 = 93

93 + 7 + 3x + 7x + 6x + 4x = 360

Combine like terms: 93 + 7 = 100

100 + 3x + 7x + 6x + 4x = 360

Combine like terms: 3x + 7x = 10x

100 + 10x + 6x + 4x = 360

Combine like terms: 10x + 6x = 16x

100 + 16x + 4x = 360

Combine like terms: 16x + 4x = 20x

100 + 20x = 360

Solving

100 + 20x = 360

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-100' to each side of the equation.

100 + -100 + 20x = 360 + -100

Combine like terms: 100 + -100 = 0

0 + 20x = 360 + -100

20x = 360 + -100

Combine like terms: 360 + -100 = 260

20x = 260

Divide each side by '20'.

x = 13

Simplifying

x = 13

4 0

3 years ago

When graphing on the complex plane, which quadrant will the complex number 5+17i be found in?

AleksAgata [21]

Answer:

1st quadrant

Step-by-step explanation:

The real and imaginary portions are both positive, so the the point will be in the top right quadrant

7 0

3 years ago

I need to find the answer for "x" 2x + 3(5x - 7) =47

nordsb [41]

Answer:

The answer would be x=4.

Step-by-step explanation: Step 1: Simplify both sides of the equation.

2x+3(5x−7)=47

2x+(3)(5x)+(3)(−7)=47(Distribute)

2x+15x+−21=47

(2x+15x)+(−21)=47(Combine Like Terms)

17x+−21=47

17x−21=47

Step 2: Add 21 to both sides.

17x−21+21=47+21

17x=68

Step 3: Divide both sides by 17.

17x/17=68

17x=68

x=4

4 0

3 years ago

Of 575 broiler chickens purchased from various kinds of food stores in different regions of a country and tested for types of ba

chubhunter [2.5K]

Answer:

a) $0.68 - 2.58 \sqrt{\frac{0.68(1-0.68)}{575}}=0.630$

$0.68 + 2.58 \sqrt{\frac{0.68(1-0.68)}{575}}=0.730$

And the 99% confidence interval would be given (0.630;0.730).

b) We are 99% confident that the true proportion of infected chickens are between 0.63 (63%) and 0.73 (73%)

c) For this case the answer would be No. Since all the required assumptions in order to construct the confidence interval are satisfied, so then the results can be assumed for all the population

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$p$ represent the real population proportion of interest

$\hat p =0.68$ represent the estimated proportion

n=575 is the sample size required (variable of interest)

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

Part a

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$0.68 - 2.58 \sqrt{\frac{0.68(1-0.68)}{575}}=0.630$

$0.68 + 2.58 \sqrt{\frac{0.68(1-0.68)}{575}}=0.730$

And the 99% confidence interval would be given (0.630;0.730).

Part b

We are 99% confident that the true proportion of infected chickens are between 0.63 (63%) and 0.73 (73%)

Part c

For this case the answer would be No. Since all the required assumptions in order to construct the confidence interval are satisfied, so then the results can be assumed for all the population

4 0

3 years ago