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Nady [450]
2 years ago
14

Which of the following shows the correct solution steps and solution to 7x- 4 = -182 7x - 4 = -18 71 - 4+4= -18 + 4 72 = -14 A.

72 -14 7 7 = -2 70 – 4= -18 72 - 4+4= -18 + 4 70 = -14 7x - 14 -7 -7 B. = 2​
Mathematics
2 answers:
erica [24]2 years ago
3 0

Answer/Step-by-step explanation:

7x- 4 = -182

<em>Step:</em>

Add 4 to both sides

7x - 4 + 4 = -182 + 4

Simplify

7x = -178

Divide both sides by 7

7x/7 = -178/7

Simplify

x = -178/7

Decimal form = -25.4285714286

<u><em>~lenvy~</em></u>

mezya [45]2 years ago
3 0

Answer:

x = -178/7

Step-by-step explanation:

<em>Given us that:</em>

<em>Which of the following shows the correct solution steps and solution to 7x- 4 = -182 </em>

<em>Thus, the steps are:</em>

<em>Adding 4 to both sides</em>

<em>7x - 4 = -182</em>

<em>       +4       +4</em>

<em>------------------------</em>

<em>7x = -178</em>

<em>Divide both sides by 7</em>

<em>7x/7 = -178/x</em>

<em>Simplify</em>

<em>x = -178/7</em>

<em>Solution - x = -178/7</em>

<em />

<u><em>[RevyBreeze]</em></u>

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\qquad \qquad\huge \underline{\boxed{\sf Answer}}

Here's the solution ~

Let's find the measure of hypotenuse first, by using Pythagoras theorem ;

\qquad \sf  \dashrightarrow \: h {}^{2}  =  {8}^{2}  +  {6}^{2}

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Now, let's find the asked values ~

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\qquad \sf  \dashrightarrow \:  \cos(y) =  \dfrac{adjcant \: side}{hypotenuse}

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3 0
3 years ago
A counselor records the number of disagreements (per session) among couples during group counseling sessions. If the number of d
Shalnov [3]

Answer:

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And we can find this probability with the complement rule:

P(z>-1)=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 disagreements of a population, and for this case we know the distribution for X is given by:

X \sim N(4.4,0.4)  

Where \mu=4.4 and \sigma=0.4

We are interested on this probability

P(X>4)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>4)=P(\frac{X-\mu}{\sigma}>\frac{4-\mu}{\sigma})=P(Z>\frac{4-4.4}{0.4})=P(z>-1)

And we can find this probability with the complement rule:

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

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